diff --git a/src/common/partition_builder.h b/src/common/partition_builder.h
index df151ce9a..e5e6971e5 100644
--- a/src/common/partition_builder.h
+++ b/src/common/partition_builder.h
@@ -1,5 +1,5 @@
-/*!
- * Copyright 2021-2022 by Contributors
+/**
+ * Copyright 2021-2023 by Contributors
  * \file row_set.h
  * \brief Quick Utility to compute subset of rows
  * \author Philip Cho, Tianqi Chen
@@ -10,6 +10,7 @@
 #include <xgboost/data.h>
 
 #include <algorithm>
+#include <cstddef>  // for size_t
 #include <limits>
 #include <memory>
 #include <utility>
@@ -21,9 +22,7 @@
 #include "xgboost/context.h"
 #include "xgboost/tree_model.h"
 
-namespace xgboost {
-namespace common {
-
+namespace xgboost::common {
 // The builder is required for samples partition to left and rights children for set of nodes
 // Responsible for:
 // 1) Effective memory allocation for intermediate results for multi-thread work
@@ -109,18 +108,17 @@ class PartitionBuilder {
     return {nleft_elems, nright_elems};
   }
 
-  template <typename BinIdxType, bool any_missing, bool any_cat>
-  void Partition(const size_t node_in_set, std::vector<xgboost::tree::CPUExpandEntry> const &nodes,
-                 const common::Range1d range,
-                 const bst_bin_t split_cond, GHistIndexMatrix const& gmat,
-                 const common::ColumnMatrix& column_matrix,
+  template <typename BinIdxType, bool any_missing, bool any_cat, typename ExpandEntry>
+  void Partition(const size_t node_in_set, std::vector<ExpandEntry> const& nodes,
+                 const common::Range1d range, const bst_bin_t split_cond,
+                 GHistIndexMatrix const& gmat, const common::ColumnMatrix& column_matrix,
                  const RegTree& tree, const size_t* rid) {
     common::Span<const size_t> rid_span(rid + range.begin(), rid + range.end());
     common::Span<size_t> left = GetLeftBuffer(node_in_set, range.begin(), range.end());
     common::Span<size_t> right = GetRightBuffer(node_in_set, range.begin(), range.end());
     std::size_t nid = nodes[node_in_set].nid;
-    bst_feature_t fid = tree[nid].SplitIndex();
-    bool default_left = tree[nid].DefaultLeft();
+    bst_feature_t fid = tree.SplitIndex(nid);
+    bool default_left = tree.DefaultLeft(nid);
     bool is_cat = tree.GetSplitTypes()[nid] == FeatureType::kCategorical;
     auto node_cats = tree.NodeCats(nid);
     auto const& cut_values = gmat.cut.Values();
@@ -190,10 +188,10 @@ class PartitionBuilder {
    * worker, so we go through all the rows and mark the bit vectors on whether the decision is made
    * to go right, or if the feature value used for the split is missing.
    */
-  void MaskRows(const size_t node_in_set, std::vector<xgboost::tree::CPUExpandEntry> const &nodes,
+  template <typename ExpandEntry>
+  void MaskRows(const size_t node_in_set, std::vector<ExpandEntry> const& nodes,
                 const common::Range1d range, GHistIndexMatrix const& gmat,
-                const common::ColumnMatrix& column_matrix,
-                const RegTree& tree, const size_t* rid,
+                const common::ColumnMatrix& column_matrix, const RegTree& tree, const size_t* rid,
                 BitVector* decision_bits, BitVector* missing_bits) {
     common::Span<const size_t> rid_span(rid + range.begin(), rid + range.end());
     std::size_t nid = nodes[node_in_set].nid;
@@ -228,8 +226,8 @@ class PartitionBuilder {
    * @brief Once we've aggregated the decision and missing bits from all the workers, we can then
    * use them to partition the rows accordingly.
    */
-  void PartitionByMask(const size_t node_in_set,
-                       std::vector<xgboost::tree::CPUExpandEntry> const& nodes,
+  template <typename ExpandEntry>
+  void PartitionByMask(const size_t node_in_set, std::vector<ExpandEntry> const& nodes,
                        const common::Range1d range, GHistIndexMatrix const& gmat,
                        const common::ColumnMatrix& column_matrix, const RegTree& tree,
                        const size_t* rid, BitVector const& decision_bits,
@@ -293,11 +291,11 @@ class PartitionBuilder {
   }
 
 
-  size_t GetNLeftElems(int nid) const {
+  [[nodiscard]] std::size_t GetNLeftElems(int nid) const {
     return left_right_nodes_sizes_[nid].first;
   }
 
-  size_t GetNRightElems(int nid) const {
+  [[nodiscard]] std::size_t GetNRightElems(int nid) const {
     return left_right_nodes_sizes_[nid].second;
   }
 
@@ -349,7 +347,7 @@ class PartitionBuilder {
       if (node.node_id < 0) {
         return;
       }
-      CHECK(tree[node.node_id].IsLeaf());
+      CHECK(tree.IsLeaf(node.node_id));
       if (node.begin) {  // guard for empty node.
         size_t ptr_offset = node.end - p_begin;
         CHECK_LE(ptr_offset, row_set.Data()->size()) << node.node_id;
@@ -384,8 +382,5 @@ class PartitionBuilder {
   std::vector<std::shared_ptr<BlockInfo>> mem_blocks_;
   size_t max_n_tasks_ = 0;
 };
-
-}  // namespace common
-}  // namespace xgboost
-
+}  // namespace xgboost::common
 #endif  // XGBOOST_COMMON_PARTITION_BUILDER_H_
diff --git a/src/learner.cc b/src/learner.cc
index d91add70d..e1b5605ca 100644
--- a/src/learner.cc
+++ b/src/learner.cc
@@ -343,8 +343,8 @@ struct LearnerTrainParam : public XGBoostParameter<LearnerTrainParam> {
         .add_enum("monolithic", MultiStrategy::kMonolithic)
         .set_default(MultiStrategy::kComposite)
         .describe(
-            "Strategy used for training multi-target models. `mono` means building one single tree "
-            "for all targets.");
+            "Strategy used for training multi-target models. `monolithic` means building one "
+            "single tree for all targets.");
   }
 };
 
diff --git a/src/tree/common_row_partitioner.h b/src/tree/common_row_partitioner.h
index a58dbb452..ba69d8921 100644
--- a/src/tree/common_row_partitioner.h
+++ b/src/tree/common_row_partitioner.h
@@ -1,22 +1,26 @@
-/*!
- * Copyright 2021-2022 XGBoost contributors
+/**
+ * Copyright 2021-2023 XGBoost contributors
  * \file common_row_partitioner.h
  * \brief Common partitioner logic for hist and approx methods.
  */
 #ifndef XGBOOST_TREE_COMMON_ROW_PARTITIONER_H_
 #define XGBOOST_TREE_COMMON_ROW_PARTITIONER_H_
 
+#include <algorithm>  // std::all_of
+#include <cinttypes>  // std::uint32_t
 #include <limits>  // std::numeric_limits
 #include <vector>
 
 #include "../collective/communicator-inl.h"
+#include "../common/linalg_op.h"  // cbegin
 #include "../common/numeric.h"  // Iota
 #include "../common/partition_builder.h"
 #include "hist/expand_entry.h"  // CPUExpandEntry
+#include "xgboost/base.h"
 #include "xgboost/context.h"    // Context
+#include "xgboost/linalg.h"       // TensorView
 
-namespace xgboost {
-namespace tree {
+namespace xgboost::tree {
 
 static constexpr size_t kPartitionBlockSize = 2048;
 
@@ -34,9 +38,10 @@ class ColumnSplitHelper {
     missing_bits_ = BitVector(common::Span<BitVector::value_type>(missing_storage_));
   }
 
+  template <typename ExpandEntry>
   void Partition(common::BlockedSpace2d const& space, std::int32_t n_threads,
                  GHistIndexMatrix const& gmat, common::ColumnMatrix const& column_matrix,
-                 std::vector<CPUExpandEntry> const& nodes, RegTree const* p_tree) {
+                 std::vector<ExpandEntry> const& nodes, RegTree const* p_tree) {
     // When data is split by column, we don't have all the feature values in the local worker, so
     // we first collect all the decisions and whether the feature is missing into bit vectors.
     std::fill(decision_storage_.begin(), decision_storage_.end(), 0);
@@ -97,17 +102,18 @@ class CommonRowPartitioner {
     }
   }
 
-  void FindSplitConditions(const std::vector<CPUExpandEntry>& nodes, const RegTree& tree,
+  template <typename ExpandEntry>
+  void FindSplitConditions(const std::vector<ExpandEntry>& nodes, const RegTree& tree,
                            const GHistIndexMatrix& gmat, std::vector<int32_t>* split_conditions) {
     auto const& ptrs = gmat.cut.Ptrs();
     auto const& vals = gmat.cut.Values();
 
     for (std::size_t i = 0; i < nodes.size(); ++i) {
-      bst_node_t const nid = nodes[i].nid;
-      bst_feature_t const fid = tree[nid].SplitIndex();
-      const float split_pt = tree[nid].SplitCond();
-      const uint32_t lower_bound = ptrs[fid];
-      const uint32_t upper_bound = ptrs[fid + 1];
+      bst_node_t const nidx = nodes[i].nid;
+      bst_feature_t const fidx = tree.SplitIndex(nidx);
+      float const split_pt = tree.SplitCond(nidx);
+      std::uint32_t const lower_bound = ptrs[fidx];
+      std::uint32_t const upper_bound = ptrs[fidx + 1];
       bst_bin_t split_cond = -1;
       // convert floating-point split_pt into corresponding bin_id
       // split_cond = -1 indicates that split_pt is less than all known cut points
@@ -121,20 +127,22 @@ class CommonRowPartitioner {
     }
   }
 
-  void AddSplitsToRowSet(const std::vector<CPUExpandEntry>& nodes, RegTree const* p_tree) {
+  template <typename ExpandEntry>
+  void AddSplitsToRowSet(const std::vector<ExpandEntry>& nodes, RegTree const* p_tree) {
     const size_t n_nodes = nodes.size();
     for (unsigned int i = 0; i < n_nodes; ++i) {
-      const int32_t nid = nodes[i].nid;
+      const int32_t nidx = nodes[i].nid;
       const size_t n_left = partition_builder_.GetNLeftElems(i);
       const size_t n_right = partition_builder_.GetNRightElems(i);
-      CHECK_EQ((*p_tree)[nid].LeftChild() + 1, (*p_tree)[nid].RightChild());
-      row_set_collection_.AddSplit(nid, (*p_tree)[nid].LeftChild(), (*p_tree)[nid].RightChild(),
-                                   n_left, n_right);
+      CHECK_EQ(p_tree->LeftChild(nidx) + 1, p_tree->RightChild(nidx));
+      row_set_collection_.AddSplit(nidx, p_tree->LeftChild(nidx), p_tree->RightChild(nidx), n_left,
+                                   n_right);
     }
   }
 
+  template <typename ExpandEntry>
   void UpdatePosition(Context const* ctx, GHistIndexMatrix const& gmat,
-                      std::vector<CPUExpandEntry> const& nodes, RegTree const* p_tree) {
+                      std::vector<ExpandEntry> const& nodes, RegTree const* p_tree) {
     auto const& column_matrix = gmat.Transpose();
     if (column_matrix.IsInitialized()) {
       if (gmat.cut.HasCategorical()) {
@@ -152,10 +160,10 @@ class CommonRowPartitioner {
     }
   }
 
-  template <bool any_cat>
+  template <bool any_cat, typename ExpandEntry>
   void UpdatePosition(Context const* ctx, GHistIndexMatrix const& gmat,
                       const common::ColumnMatrix& column_matrix,
-                      std::vector<CPUExpandEntry> const& nodes, RegTree const* p_tree) {
+                      std::vector<ExpandEntry> const& nodes, RegTree const* p_tree) {
     if (column_matrix.AnyMissing()) {
       this->template UpdatePosition<true, any_cat>(ctx, gmat, column_matrix, nodes, p_tree);
     } else {
@@ -163,33 +171,21 @@ class CommonRowPartitioner {
     }
   }
 
-  template <bool any_missing, bool any_cat>
+  template <bool any_missing, bool any_cat, typename ExpandEntry>
   void UpdatePosition(Context const* ctx, GHistIndexMatrix const& gmat,
                       const common::ColumnMatrix& column_matrix,
-                      std::vector<CPUExpandEntry> const& nodes, RegTree const* p_tree) {
-    switch (column_matrix.GetTypeSize()) {
-      case common::kUint8BinsTypeSize:
-        this->template UpdatePosition<uint8_t, any_missing, any_cat>(ctx, gmat, column_matrix,
-                                                                     nodes, p_tree);
-        break;
-      case common::kUint16BinsTypeSize:
-        this->template UpdatePosition<uint16_t, any_missing, any_cat>(ctx, gmat, column_matrix,
-                                                                      nodes, p_tree);
-        break;
-      case common::kUint32BinsTypeSize:
-        this->template UpdatePosition<uint32_t, any_missing, any_cat>(ctx, gmat, column_matrix,
-                                                                      nodes, p_tree);
-        break;
-      default:
-        // no default behavior
-        CHECK(false) << column_matrix.GetTypeSize();
-    }
+                      std::vector<ExpandEntry> const& nodes, RegTree const* p_tree) {
+    common::DispatchBinType(column_matrix.GetTypeSize(), [&](auto t) {
+      using T = decltype(t);
+      this->template UpdatePosition<T, any_missing, any_cat>(ctx, gmat, column_matrix, nodes,
+                                                             p_tree);
+    });
   }
 
-  template <typename BinIdxType, bool any_missing, bool any_cat>
+  template <typename BinIdxType, bool any_missing, bool any_cat, typename ExpandEntry>
   void UpdatePosition(Context const* ctx, GHistIndexMatrix const& gmat,
                       const common::ColumnMatrix& column_matrix,
-                      std::vector<CPUExpandEntry> const& nodes, RegTree const* p_tree) {
+                      std::vector<ExpandEntry> const& nodes, RegTree const* p_tree) {
     // 1. Find split condition for each split
     size_t n_nodes = nodes.size();
 
@@ -251,9 +247,9 @@ class CommonRowPartitioner {
     AddSplitsToRowSet(nodes, p_tree);
   }
 
-  auto const& Partitions() const { return row_set_collection_; }
+  [[nodiscard]] auto const& Partitions() const { return row_set_collection_; }
 
-  size_t Size() const {
+  [[nodiscard]] std::size_t Size() const {
     return std::distance(row_set_collection_.begin(), row_set_collection_.end());
   }
 
@@ -266,12 +262,29 @@ class CommonRowPartitioner {
                                      [&](size_t idx) -> bool { return hess[idx] - .0f == .0f; });
   }
 
+  void LeafPartition(Context const* ctx, RegTree const& tree,
+                     linalg::TensorView<GradientPair const, 2> gpair,
+                     std::vector<bst_node_t>* p_out_position) const {
+    if (gpair.Shape(1) > 1) {
+      partition_builder_.LeafPartition(
+          ctx, tree, this->Partitions(), p_out_position, [&](std::size_t idx) -> bool {
+            auto sample = gpair.Slice(idx, linalg::All());
+            return std::all_of(linalg::cbegin(sample), linalg::cend(sample),
+                               [](GradientPair const& g) { return g.GetHess() - .0f == .0f; });
+          });
+    } else {
+      auto s = gpair.Slice(linalg::All(), 0);
+      partition_builder_.LeafPartition(
+          ctx, tree, this->Partitions(), p_out_position,
+          [&](std::size_t idx) -> bool { return s(idx).GetHess() - .0f == .0f; });
+    }
+  }
   void LeafPartition(Context const* ctx, RegTree const& tree,
                      common::Span<GradientPair const> gpair,
                      std::vector<bst_node_t>* p_out_position) const {
     partition_builder_.LeafPartition(
         ctx, tree, this->Partitions(), p_out_position,
-        [&](size_t idx) -> bool { return gpair[idx].GetHess() - .0f == .0f; });
+        [&](std::size_t idx) -> bool { return gpair[idx].GetHess() - .0f == .0f; });
   }
 
  private:
@@ -281,6 +294,5 @@ class CommonRowPartitioner {
   ColumnSplitHelper column_split_helper_;
 };
 
-}  // namespace tree
-}  // namespace xgboost
+}  // namespace xgboost::tree
 #endif  // XGBOOST_TREE_COMMON_ROW_PARTITIONER_H_
diff --git a/tests/cpp/common/test_partition_builder.cc b/tests/cpp/common/test_partition_builder.cc
index 4e6d800a7..08dd345f2 100644
--- a/tests/cpp/common/test_partition_builder.cc
+++ b/tests/cpp/common/test_partition_builder.cc
@@ -1,15 +1,17 @@
+/**
+ * Copyright 2020-2023 by XGBoost contributors
+ */
 #include <gtest/gtest.h>
-#include <vector>
+
 #include <string>
 #include <utility>
+#include <vector>
 
-#include "../../../src/common/row_set.h"
 #include "../../../src/common/partition_builder.h"
+#include "../../../src/common/row_set.h"
 #include "../helpers.h"
 
-namespace xgboost {
-namespace common {
-
+namespace xgboost::common {
 TEST(PartitionBuilder, BasicTest) {
   constexpr size_t kBlockSize = 16;
   constexpr size_t kNodes = 5;
@@ -74,6 +76,4 @@ TEST(PartitionBuilder, BasicTest) {
     ASSERT_EQ(n_right, (kBlockSize - rows_for_left_node[nid]) * tasks[nid]);
   }
 }
-
-}  // namespace common
-}  // namespace xgboost
+}  // namespace xgboost::common
diff --git a/tests/cpp/tree/test_approx.cc b/tests/cpp/tree/test_approx.cc
index 308ae0823..6f2b83511 100644
--- a/tests/cpp/tree/test_approx.cc
+++ b/tests/cpp/tree/test_approx.cc
@@ -148,78 +148,5 @@ TEST(Approx, PartitionerColSplit) {
   RunWithInMemoryCommunicator(kWorkers, TestColumnSplitPartitioner, n_samples, base_rowid, Xy,
                               &hess, min_value, mid_value, mid_partitioner);
 }
-
-namespace {
-void TestLeafPartition(size_t n_samples) {
-  size_t const n_features = 2, base_rowid = 0;
-  Context ctx;
-  common::RowSetCollection row_set;
-  CommonRowPartitioner partitioner{&ctx, n_samples, base_rowid, false};
-
-  auto Xy = RandomDataGenerator{n_samples, n_features, 0}.GenerateDMatrix(true);
-  std::vector<CPUExpandEntry> candidates{{0, 0}};
-  candidates.front().split.loss_chg = 0.4;
-  RegTree tree;
-  std::vector<float> hess(n_samples, 0);
-  // emulate sampling
-  auto not_sampled = [](size_t i) {
-    size_t const kSampleFactor{3};
-    return i % kSampleFactor != 0;
-  };
-  for (size_t i = 0; i < hess.size(); ++i) {
-    if (not_sampled(i)) {
-      hess[i] = 1.0f;
-    }
-  }
-
-  std::vector<size_t> h_nptr;
-  float split_value{0};
-  for (auto const& page : Xy->GetBatches<GHistIndexMatrix>({Context::kCpuId, 64})) {
-    bst_feature_t const split_ind = 0;
-    auto ptr = page.cut.Ptrs()[split_ind + 1];
-    split_value = page.cut.Values().at(ptr / 2);
-    GetSplit(&tree, split_value, &candidates);
-    partitioner.UpdatePosition(&ctx, page, candidates, &tree);
-    std::vector<bst_node_t> position;
-    partitioner.LeafPartition(&ctx, tree, hess, &position);
-    std::sort(position.begin(), position.end());
-    size_t beg = std::distance(
-        position.begin(),
-        std::find_if(position.begin(), position.end(), [&](bst_node_t nidx) { return nidx >= 0; }));
-    std::vector<size_t> nptr;
-    common::RunLengthEncode(position.cbegin() + beg, position.cend(), &nptr);
-    std::transform(nptr.begin(), nptr.end(), nptr.begin(), [&](size_t x) { return x + beg; });
-    auto n_uniques = std::unique(position.begin() + beg, position.end()) - (position.begin() + beg);
-    ASSERT_EQ(nptr.size(), n_uniques + 1);
-    ASSERT_EQ(nptr[0], beg);
-    ASSERT_EQ(nptr.back(), n_samples);
-
-    h_nptr = nptr;
-  }
-
-  if (h_nptr.front() == n_samples) {
-    return;
-  }
-
-  ASSERT_GE(h_nptr.size(), 2);
-
-  for (auto const& page : Xy->GetBatches<SparsePage>()) {
-    auto batch = page.GetView();
-    size_t left{0};
-    for (size_t i = 0; i < batch.Size(); ++i) {
-      if (not_sampled(i) && batch[i].front().fvalue < split_value) {
-        left++;
-      }
-    }
-    ASSERT_EQ(left, h_nptr[1] - h_nptr[0]);  // equal to number of sampled assigned to left
-  }
-}
-}  // anonymous namespace
-
-TEST(Approx, LeafPartition) {
-  for (auto n_samples : {0ul, 1ul, 128ul, 256ul}) {
-    TestLeafPartition(n_samples);
-  }
-}
 }  // namespace tree
 }  // namespace xgboost
diff --git a/tests/cpp/tree/test_common_partitioner.cc b/tests/cpp/tree/test_common_partitioner.cc
new file mode 100644
index 000000000..7e47ec289
--- /dev/null
+++ b/tests/cpp/tree/test_common_partitioner.cc
@@ -0,0 +1,93 @@
+/**
+ * Copyright 2022-2023 by XGBoost contributors.
+ */
+#include <gtest/gtest.h>
+#include <xgboost/base.h>                         // for bst_node_t
+#include <xgboost/context.h>                      // for Context
+
+#include <algorithm>                              // for transform
+#include <iterator>                               // for distance
+#include <vector>                                 // for vector
+
+#include "../../../src/common/numeric.h"          // for ==RunLengthEncode
+#include "../../../src/common/row_set.h"          // for RowSetCollection
+#include "../../../src/data/gradient_index.h"     // for GHistIndexMatrix
+#include "../../../src/tree/common_row_partitioner.h"
+#include "../../../src/tree/hist/expand_entry.h"  // for CPUExpandEntry
+#include "../helpers.h"                           // for RandomDataGenerator
+#include "test_partitioner.h"                     // for GetSplit
+
+namespace xgboost::tree {
+namespace {
+void TestLeafPartition(size_t n_samples) {
+  size_t const n_features = 2, base_rowid = 0;
+  Context ctx;
+  common::RowSetCollection row_set;
+  CommonRowPartitioner partitioner{&ctx, n_samples, base_rowid, false};
+
+  auto Xy = RandomDataGenerator{n_samples, n_features, 0}.GenerateDMatrix(true);
+  std::vector<CPUExpandEntry> candidates{{0, 0}};
+  candidates.front().split.loss_chg = 0.4;
+  RegTree tree;
+  std::vector<float> hess(n_samples, 0);
+  // emulate sampling
+  auto not_sampled = [](size_t i) {
+    size_t const kSampleFactor{3};
+    return i % kSampleFactor != 0;
+  };
+  for (size_t i = 0; i < hess.size(); ++i) {
+    if (not_sampled(i)) {
+      hess[i] = 1.0f;
+    }
+  }
+
+  std::vector<size_t> h_nptr;
+  float split_value{0};
+  for (auto const& page : Xy->GetBatches<GHistIndexMatrix>({Context::kCpuId, 64})) {
+    bst_feature_t const split_ind = 0;
+    auto ptr = page.cut.Ptrs()[split_ind + 1];
+    split_value = page.cut.Values().at(ptr / 2);
+    GetSplit(&tree, split_value, &candidates);
+    partitioner.UpdatePosition(&ctx, page, candidates, &tree);
+    std::vector<bst_node_t> position;
+    partitioner.LeafPartition(&ctx, tree, hess, &position);
+    std::sort(position.begin(), position.end());
+    size_t beg = std::distance(
+        position.begin(),
+        std::find_if(position.begin(), position.end(), [&](bst_node_t nidx) { return nidx >= 0; }));
+    std::vector<size_t> nptr;
+    common::RunLengthEncode(position.cbegin() + beg, position.cend(), &nptr);
+    std::transform(nptr.begin(), nptr.end(), nptr.begin(), [&](size_t x) { return x + beg; });
+    auto n_uniques = std::unique(position.begin() + beg, position.end()) - (position.begin() + beg);
+    ASSERT_EQ(nptr.size(), n_uniques + 1);
+    ASSERT_EQ(nptr[0], beg);
+    ASSERT_EQ(nptr.back(), n_samples);
+
+    h_nptr = nptr;
+  }
+
+  if (h_nptr.front() == n_samples) {
+    return;
+  }
+
+  ASSERT_GE(h_nptr.size(), 2);
+
+  for (auto const& page : Xy->GetBatches<SparsePage>()) {
+    auto batch = page.GetView();
+    size_t left{0};
+    for (size_t i = 0; i < batch.Size(); ++i) {
+      if (not_sampled(i) && batch[i].front().fvalue < split_value) {
+        left++;
+      }
+    }
+    ASSERT_EQ(left, h_nptr[1] - h_nptr[0]);  // equal to number of sampled assigned to left
+  }
+}
+}  // anonymous namespace
+
+TEST(CommonRowPartitioner, LeafPartition) {
+  for (auto n_samples : {0ul, 1ul, 128ul, 256ul}) {
+    TestLeafPartition(n_samples);
+  }
+}
+}  // namespace xgboost::tree
diff --git a/tests/cpp/tree/test_partitioner.h b/tests/cpp/tree/test_partitioner.h
index 093aa69eb..fbd98ddf9 100644
--- a/tests/cpp/tree/test_partitioner.h
+++ b/tests/cpp/tree/test_partitioner.h
@@ -1,17 +1,20 @@
-/*!
- * Copyright 2021-2022, XGBoost contributors.
+/**
+ * Copyright 2021-2023 by XGBoost contributors.
  */
 #ifndef XGBOOST_TESTS_CPP_TREE_TEST_PARTITIONER_H_
 #define XGBOOST_TESTS_CPP_TREE_TEST_PARTITIONER_H_
-#include <xgboost/tree_model.h>
+#include <xgboost/context.h>                      // for Context
+#include <xgboost/linalg.h>                       // for Constant, Vector
+#include <xgboost/logging.h>                      // for CHECK
+#include <xgboost/tree_model.h>                   // for RegTree
 
-#include <vector>
+#include <vector>                                 // for vector
 
-#include "../../../src/tree/hist/expand_entry.h"
+#include "../../../src/tree/hist/expand_entry.h"  // for CPUExpandEntry, MultiExpandEntry
 
-namespace xgboost {
-namespace tree {
+namespace xgboost::tree {
 inline void GetSplit(RegTree *tree, float split_value, std::vector<CPUExpandEntry> *candidates) {
+  CHECK(!tree->IsMultiTarget());
   tree->ExpandNode(
       /*nid=*/RegTree::kRoot, /*split_index=*/0, /*split_value=*/split_value,
       /*default_left=*/true, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f,
@@ -21,6 +24,22 @@ inline void GetSplit(RegTree *tree, float split_value, std::vector<CPUExpandEntr
   candidates->front().split.sindex = 0;
   candidates->front().split.sindex |= (1U << 31);
 }
-}  // namespace tree
-}  // namespace xgboost
+
+inline void GetMultiSplitForTest(RegTree *tree, float split_value,
+                                 std::vector<MultiExpandEntry> *candidates) {
+  CHECK(tree->IsMultiTarget());
+  auto n_targets = tree->NumTargets();
+  Context ctx;
+  linalg::Vector<float> base_weight{linalg::Constant(&ctx, 0.0f, n_targets)};
+  linalg::Vector<float> left_weight{linalg::Constant(&ctx, 0.0f, n_targets)};
+  linalg::Vector<float> right_weight{linalg::Constant(&ctx, 0.0f, n_targets)};
+
+  tree->ExpandNode(/*nidx=*/RegTree::kRoot, /*split_index=*/0, /*split_value=*/split_value,
+                   /*default_left=*/true, base_weight.HostView(), left_weight.HostView(),
+                   right_weight.HostView());
+  candidates->front().split.split_value = split_value;
+  candidates->front().split.sindex = 0;
+  candidates->front().split.sindex |= (1U << 31);
+}
+}  // namespace xgboost::tree
 #endif  // XGBOOST_TESTS_CPP_TREE_TEST_PARTITIONER_H_
diff --git a/tests/cpp/tree/test_quantile_hist.cc b/tests/cpp/tree/test_quantile_hist.cc
index 42edc2124..2aa1b8f47 100644
--- a/tests/cpp/tree/test_quantile_hist.cc
+++ b/tests/cpp/tree/test_quantile_hist.cc
@@ -1,25 +1,29 @@
-/*!
- * Copyright 2018-2022 by XGBoost Contributors
+/**
+ * Copyright 2018-2023 by XGBoost Contributors
  */
 #include <gtest/gtest.h>
 #include <xgboost/host_device_vector.h>
 #include <xgboost/tree_updater.h>
 
 #include <algorithm>
+#include <cstddef>  // for size_t
 #include <string>
 #include <vector>
 
+#include "../../../src/tree/common_row_partitioner.h"
+#include "../../../src/tree/hist/expand_entry.h"  // for MultiExpandEntry, CPUExpandEntry
 #include "../../../src/tree/param.h"
 #include "../../../src/tree/split_evaluator.h"
-#include "../../../src/tree/common_row_partitioner.h"
 #include "../helpers.h"
 #include "test_partitioner.h"
 #include "xgboost/data.h"
 
-namespace xgboost {
-namespace tree {
-TEST(QuantileHist, Partitioner) {
-  size_t n_samples = 1024, n_features = 1, base_rowid = 0;
+namespace xgboost::tree {
+template <typename ExpandEntry>
+void TestPartitioner(bst_target_t n_targets) {
+  std::size_t n_samples = 1024, base_rowid = 0;
+  bst_feature_t n_features = 1;
+
   Context ctx;
   ctx.InitAllowUnknown(Args{});
 
@@ -29,7 +33,7 @@ TEST(QuantileHist, Partitioner) {
   ASSERT_EQ(partitioner.Partitions()[0].Size(), n_samples);
 
   auto Xy = RandomDataGenerator{n_samples, n_features, 0}.GenerateDMatrix(true);
-  std::vector<CPUExpandEntry> candidates{{0, 0}};
+  std::vector<ExpandEntry> candidates{{0, 0}};
   candidates.front().split.loss_chg = 0.4;
 
   auto cuts = common::SketchOnDMatrix(Xy.get(), 64, ctx.Threads());
@@ -41,9 +45,13 @@ TEST(QuantileHist, Partitioner) {
     column_indices.InitFromSparse(page, gmat, 0.5, ctx.Threads());
     {
       auto min_value = gmat.cut.MinValues()[split_ind];
-      RegTree tree;
+      RegTree tree{n_targets, n_features};
       CommonRowPartitioner partitioner{&ctx, n_samples, base_rowid, false};
-      GetSplit(&tree, min_value, &candidates);
+      if constexpr (std::is_same<ExpandEntry, CPUExpandEntry>::value) {
+        GetSplit(&tree, min_value, &candidates);
+      } else {
+        GetMultiSplitForTest(&tree, min_value, &candidates);
+      }
       partitioner.UpdatePosition<false, true>(&ctx, gmat, column_indices, candidates, &tree);
       ASSERT_EQ(partitioner.Size(), 3);
       ASSERT_EQ(partitioner[1].Size(), 0);
@@ -53,9 +61,13 @@ TEST(QuantileHist, Partitioner) {
       CommonRowPartitioner partitioner{&ctx, n_samples, base_rowid, false};
       auto ptr = gmat.cut.Ptrs()[split_ind + 1];
       float split_value = gmat.cut.Values().at(ptr / 2);
-      RegTree tree;
-      GetSplit(&tree, split_value, &candidates);
-      auto left_nidx = tree[RegTree::kRoot].LeftChild();
+      RegTree tree{n_targets, n_features};
+      if constexpr (std::is_same<ExpandEntry, CPUExpandEntry>::value) {
+        GetSplit(&tree, split_value, &candidates);
+      } else {
+        GetMultiSplitForTest(&tree, split_value, &candidates);
+      }
+      auto left_nidx = tree.LeftChild(RegTree::kRoot);
       partitioner.UpdatePosition<false, true>(&ctx, gmat, column_indices, candidates, &tree);
 
       auto elem = partitioner[left_nidx];
@@ -65,14 +77,17 @@ TEST(QuantileHist, Partitioner) {
         auto value = gmat.cut.Values().at(gmat.index[*it]);
         ASSERT_LE(value, split_value);
       }
-      auto right_nidx = tree[RegTree::kRoot].RightChild();
+      auto right_nidx = tree.RightChild(RegTree::kRoot);
       elem = partitioner[right_nidx];
       for (auto it = elem.begin; it != elem.end; ++it) {
         auto value = gmat.cut.Values().at(gmat.index[*it]);
-        ASSERT_GT(value, split_value) << *it;
+        ASSERT_GT(value, split_value);
       }
     }
   }
 }
-}  // namespace tree
-}  // namespace xgboost
+
+TEST(QuantileHist, Partitioner) { TestPartitioner<CPUExpandEntry>(1); }
+
+TEST(QuantileHist, MultiPartitioner) { TestPartitioner<MultiExpandEntry>(3); }
+}  // namespace xgboost::tree