diff --git a/dev/tasks/macros.jinja b/dev/tasks/macros.jinja
index 4cf4830cf65..9da09d971b0 100644
--- a/dev/tasks/macros.jinja
+++ b/dev/tasks/macros.jinja
@@ -353,8 +353,8 @@ on:
   {# use filter to cast to string and convert to lowercase to match yaml boolean #}
   {% set is_fork = (not is_upstream_b)|lower %}
 
-{% set r_release = '4.2' %}
-{% set r_oldrel = '4.1' %}
+{% set r_release = {"ver": "4.2", "rt" : "42"} %}
+{% set r_oldrel = {"ver": "4.1", "rt" : "40"} %}
 
 {%- macro github_set_env(env) -%}
   {% if env is defined %}
diff --git a/dev/tasks/python-wheels/github.osx.arm64.yml b/dev/tasks/python-wheels/github.osx.arm64.yml
index e5be422e2c3..a02661f4920 100644
--- a/dev/tasks/python-wheels/github.osx.arm64.yml
+++ b/dev/tasks/python-wheels/github.osx.arm64.yml
@@ -58,7 +58,7 @@ jobs:
       - name: Install Vcpkg
         env:
           MACOSX_DEPLOYMENT_TARGET: "11.0"
-        run: arch -arm64 arrow/ci/scripts/install_vcpkg.sh $VCPKG_ROOT $VCPKG_VERSION
+        run:  arrow/ci/scripts/install_vcpkg.sh $VCPKG_ROOT $VCPKG_VERSION
 
       - name: Add Vcpkg to PATH
         run: echo ${VCPKG_ROOT} >> $GITHUB_PATH
@@ -67,7 +67,7 @@ jobs:
         env:
           VCPKG_DEFAULT_TRIPLET: arm64-osx-static-release
         run: |
-           arch -arm64 vcpkg install \
+            vcpkg install \
             --clean-after-build \
             --x-install-root=${VCPKG_ROOT}/installed \
             --x-manifest-root=arrow/ci/vcpkg \
@@ -85,14 +85,14 @@ jobs:
           $PYTHON -m venv build-arm64-env
           source build-arm64-env/bin/activate
           pip install --upgrade pip wheel
-          arch -arm64 arrow/ci/scripts/python_wheel_macos_build.sh arm64 $(pwd)/arrow $(pwd)/build
+           arrow/ci/scripts/python_wheel_macos_build.sh arm64 $(pwd)/arrow $(pwd)/build
 
       {% if arch == "universal2" %}
       - name: Install AMD64 Packages
         env:
           VCPKG_DEFAULT_TRIPLET: amd64-osx-static-release
         run: |
-           arch -arm64 vcpkg install \
+            vcpkg install \
             --clean-after-build \
             --x-install-root=${VCPKG_ROOT}/installed \
             --x-manifest-root=arrow/ci/vcpkg \
@@ -138,10 +138,10 @@ jobs:
           # libffi has to be installed on the m1 runner which causes issues with 
           # the cffi wheel. We build cffi with the flags pointing to the correct libffi location.
           LDFLAGS=-L$(brew --prefix libffi)/lib CFLAGS=-I$(brew --prefix libffi)/include \
-            arch -arm64 pip install cffi --no-binary :all:
-          arch -arm64 pip install -r arrow/python/requirements-wheel-test.txt
-          PYTHON=python arch -arm64 arrow/ci/scripts/install_gcs_testbench.sh default
-          arch -arm64 arrow/ci/scripts/python_wheel_unix_test.sh $(pwd)/arrow
+             pip install cffi --no-binary :all:
+           pip install -r arrow/python/requirements-wheel-test.txt
+          PYTHON=python  arrow/ci/scripts/install_gcs_testbench.sh default
+           arrow/ci/scripts/python_wheel_unix_test.sh $(pwd)/arrow
 
       {% if arch == "universal2" %}
       - name: Test Wheel on AMD64
diff --git a/dev/tasks/r/github.macos.autobrew.yml b/dev/tasks/r/github.macos.autobrew.yml
index fd5492873db..2664455479a 100644
--- a/dev/tasks/r/github.macos.autobrew.yml
+++ b/dev/tasks/r/github.macos.autobrew.yml
@@ -31,8 +31,8 @@ jobs:
             - macos-11
             - macos-10.13 # self-hosted
           r-version:
-            - {{ macros.r_release }}
-            - {{ macros.r_oldrel }}
+            - "{{ macros.r_release.ver }}"
+            - "{{ macros.r_oldrel.ver }}"
     steps:
       {{ macros.github_checkout_arrow()|indent }}
       - name: Configure autobrew script
diff --git a/dev/tasks/r/github.packages.yml b/dev/tasks/r/github.packages.yml
index 090735f0fa1..13f7c9438e8 100644
--- a/dev/tasks/r/github.packages.yml
+++ b/dev/tasks/r/github.packages.yml
@@ -130,31 +130,36 @@ jobs:
 
   r-packages:
     needs: [source, windows-cpp]
-    name: {{ '${{ matrix.platform }} ${{ matrix.r_version.r }}' }}
-    runs-on: {{ '${{ matrix.platform }}' }}
+    name: {{ '${{ matrix.platform.name }} ${{ matrix.r_version.r }}' }}
+    runs-on: {{ '${{ matrix.platform.runs_on }}' }}
     strategy:
       fail-fast: false
       matrix:
         platform:
-          - windows-latest
-          - macos-10.13 # self-hosted
-          # - devops-managed # No M1 until the runner application runs native
+          - { runs_on: 'windows-latest', name: "Windows"}
+          - { runs_on: ["self-hosted", "macos-10.13"], name: "macOS High Sierra"}
+          - { runs_on: ["self-hosted", "macOS", "arm64", "devops-managed"], name: "macOS Big Sur" }
         r_version:
-          - { rtools: 40, r: "4.1" }
-          - { rtools: 42, r: "4.2" }
+          - { rtools: "{{ macros.r_release.rt }}", r: "{{ macros.r_release.ver }}" }
+          - { rtools: "{{ macros.r_oldrel.rt }}", r: "{{ macros.r_oldrel.ver }}" }
     steps:
       - uses: r-lib/actions/setup-r@v2
-        if: matrix.platform != 'macos-10.13'
+        # expression marker prevents the ! being parsed as yaml tag
+        if: {{ "${{ !contains(matrix.platform.runs_on, 'self-hosted') }}" }}
         with:
           r-version: {{ '${{ matrix.r_version.r }}' }}
           rtools-version: {{ '${{ matrix.r_version.rtools }}' }}
           Ncpus: 2
       - name: Setup R Self-Hosted
-        if: matrix.platform == 'macos-10.13'
+        if: contains(matrix.platform.runs_on, 'self-hosted')
         run: |
+          if [ "{{ "${{ contains(matrix.platform.runs_on, 'arm64') }}" }}" == "true" ]; then
+            rig_arch="-arm64"
+          fi
           # rig is a system utility that allows for switching
           # between pre-installed R version on the self-hosted runners
-          rig default {{ '${{ matrix.r_version.r }}' }}
+          rig default {{ '${{ matrix.r_version.r }}' }}$rig_arch
+
           rig system setup-user-lib
           rig system add-pak 
       {{ macros.github_setup_local_r_repo(false, true)|indent }}
@@ -163,7 +168,8 @@ jobs:
         shell: bash
         run: |
           tar -xzf repo/src/contrib/arrow_*.tar.gz arrow/DESCRIPTION
-      - uses: r-lib/actions/setup-r-dependencies@v2
+      - name: Install dependencies
+        uses: r-lib/actions/setup-r-dependencies@v2
         with:
            working-directory: 'arrow'
            extra-packages: cpp11
diff --git a/dev/tasks/tasks.yml b/dev/tasks/tasks.yml
index ae3c613902b..c2ea45eb1db 100644
--- a/dev/tasks/tasks.yml
+++ b/dev/tasks/tasks.yml
@@ -958,6 +958,8 @@ tasks:
       - r-pkg__bin__windows__contrib__4.2__arrow_[0-9\.]+\.zip
       - r-pkg__bin__macosx__contrib__4.1__arrow_[0-9\.]+\.tgz
       - r-pkg__bin__macosx__contrib__4.2__arrow_[0-9\.]+\.tgz
+      - r-pkg__bin__macosx__big-sur-arm64__contrib__4.1__arrow_[0-9\.]+\.tgz
+      - r-pkg__bin__macosx__big-sur-arm64__contrib__4.2__arrow_[0-9\.]+\.tgz
       - r-pkg__src__contrib__arrow_[0-9\.]+\.tar\.gz
 
 
@@ -1085,7 +1087,6 @@ tasks:
       env:
         PYTEST_ADDOPTS: "-k 'not test_cancellation'"
       github_runner: ["self-hosted", "macOS", "arm64"]
-      arch_emulation: arm64
       target: "wheels"
 
   ######################## Windows verification ##############################
diff --git a/dev/tasks/verify-rc/github.macos.arm64.yml b/dev/tasks/verify-rc/github.macos.arm64.yml
index 10f684e6ac1..79cdf4479eb 100644
--- a/dev/tasks/verify-rc/github.macos.arm64.yml
+++ b/dev/tasks/verify-rc/github.macos.arm64.yml
@@ -46,5 +46,5 @@ jobs:
           export PATH="$(brew --prefix node@16)/bin:$PATH"
           export PATH="$(brew --prefix ruby)/bin:$PATH"
           export PKG_CONFIG_PATH="$(brew --prefix ruby)/lib/pkgconfig"
-          arch -{{ arch_emulation|default("arm64") }} arrow/dev/release/verify-release-candidate.sh \
+          arrow/dev/release/verify-release-candidate.sh \
             {{ release|default("") }} {{ rc|default("") }}