diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
new file mode 100644
index 0000000..1a74362
--- /dev/null
+++ b/.github/workflows/tests.yml
@@ -0,0 +1,44 @@
+# Lint and test idscope with both kinds of Qt binding, without a display.
+name: tests
+
+on:
+  push:
+    branches: [main]
+  pull_request:
+  workflow_dispatch:
+
+jobs:
+  test:
+    name: Python ${{ matrix.python }}, ${{ matrix.qt }}
+    runs-on: ubuntu-latest
+    timeout-minutes: 30
+    strategy:
+      fail-fast: false
+      matrix:
+        include:
+          # imas-core, which imas-python needs, has wheels from Python 3.10 on
+          - python: "3.10"
+            qt: PyQt5
+          - python: "3.12"
+            qt: PySide6
+    env:
+      QT_QPA_PLATFORM: offscreen
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions/setup-python@v5
+        with:
+          python-version: ${{ matrix.python }}
+          cache: pip
+          cache-dependency-path: pyproject.toml
+      - name: Libraries that Qt loads
+        run: |
+          sudo apt-get update
+          sudo apt-get install -y libegl1 libgl1 libxkbcommon0 libfontconfig1
+      - name: Install
+        run: |
+          python -m pip install --upgrade pip
+          python -m pip install -e ".[test]" ${{ matrix.qt }} pyflakes
+      - name: pyflakes
+        run: python -m pyflakes src tests
+      - name: pytest
+        run: python -m pytest -q
diff --git a/README.md b/README.md
index 812343c..d63b770 100644
--- a/README.md
+++ b/README.md
@@ -1,5 +1,7 @@
 # idscope
 
+[![tests](https://github.com/icyspirit/idscope/actions/workflows/tests.yml/badge.svg)](https://github.com/icyspirit/idscope/actions/workflows/tests.yml)
+
 A lightweight [jScope](https://www.mdsplus.org/index.php/Documentation:Tutorial:GUIs:jScope)-like
 viewer for [IMAS](https://imas.iter.org) IDS data. It reads data with
 [imas-python](https://github.com/iterorganization/IMAS-Python) and draws it with
@@ -357,7 +359,8 @@ QT_QPA_PLATFORM=offscreen pytest
 ```
 
 The tests create synthetic data (netCDF and HDF5) and use the ITER 134173/106 training
-data bundled with imas-python.
+data bundled with imas-python. GitHub Actions runs them, and pyflakes, on every pull
+request, with PyQt5 (Python 3.10) and with PySide6 (Python 3.12).
 
 Code layout: `idscope.data` (sources, signal paths, extraction; no Qt),
 `idscope.config` (YAML configuration), `idscope.templates` (YAML templates),