diff --git a/src/webgpu/api/operation/limits/max_combined_limits.spec.ts b/src/webgpu/api/operation/limits/max_combined_limits.spec.ts
new file mode 100644
index 00000000000..8bc54b647f2
--- /dev/null
+++ b/src/webgpu/api/operation/limits/max_combined_limits.spec.ts
@@ -0,0 +1,246 @@
+export const description = `
+Test that with the limits set to their maximum we can actually use
+the maximum number of storage buffers, storage textures, and fragment outputs
+at the same time.
+
+In particular, OpenGL ES 3.1 has GL_MAX_COMBINED_SHADER_OUTPUT_RESOURCES which
+the spec says is the combination of storage textures, storage buffers, and
+fragment shader outputs. This test checks that the whatever values the WebGPU
+implementation allows, all of them are useable.
+`;
+
+import { makeTestGroup } from '../../../../common/framework/test_group.js';
+import { range } from '../../../../common/util/util.js';
+import { kTextureFormatInfo } from '../../../format_info.js';
+import { GPUTest, MaxLimitsTestMixin, TextureTestMixin } from '../../../gpu_test.js';
+import { TexelView } from '../../../util/texture/texel_view.js';
+
+export const g = makeTestGroup(TextureTestMixin(MaxLimitsTestMixin(GPUTest)));
+
+g.test('max_storage_buffer_texture_frag_outputs')
+  .desc(
+    `
+    Use the maximum number of storage buffer, storage texture, and fragment stage outputs
+    `
+  )
+  .params(u => u.combine('format', ['r8uint', 'rgba8uint', 'rgba32uint'] as const))
+  .fn(t => {
+    const { format } = t.params;
+    const { device } = t;
+
+    const kWidth = 4;
+    const kHeight = 4;
+
+    const info = kTextureFormatInfo[format];
+    const numColorAttachments = Math.min(
+      device.limits.maxColorAttachments,
+      device.limits.maxColorAttachmentBytesPerSample / info.colorRender.byteCost
+    );
+    const numStorageBuffers =
+      device.limits.maxStorageBuffersInFragmentStage ??
+      device.limits.maxStorageBuffersPerShaderStage;
+    const numStorageTextures =
+      device.limits.maxStorageTexturesInFragmentStage ??
+      device.limits.maxStorageTexturesPerShaderStage;
+
+    const code = `
+${range(
+  numStorageBuffers,
+  i => `@group(0) @binding(${i}) var<storage, read_write> sb${i}: array<vec4u>;`
+).join('\n')}
+
+${range(
+  numStorageTextures,
+  i => `@group(1) @binding(${i}) var st${i}: texture_storage_2d<rgba32uint, write>;`
+).join('\n')}
+
+struct FragOut {
+${range(numColorAttachments, i => `  @location(${i}) f${i}: vec4u,`).join('\n')}
+};
+
+@vertex fn vs(@builtin(vertex_index) vNdx: u32) -> @builtin(position) vec4f {
+  let pos = array(
+    vec2f(-1,  3),
+    vec2f( 3, -1),
+    vec2f(-1, -1),
+  );
+  return vec4f(pos[vNdx], 0, 1);
+}
+
+@fragment fn fs(@builtin(position) position: vec4f) -> FragOut {
+  let p = vec4u(position);
+  let ndx = p.y * ${kWidth} + p.x;
+
+${range(numStorageBuffers, i => `  sb${i}[ndx] = p + ${i};`).join('\n')}
+
+${range(numStorageTextures, i => `  textureStore(st${i}, p.xy, p + ${i} * 2);`).join('\n')}
+
+  var fragOut: FragOut;
+${range(numColorAttachments, i => `  fragOut.f${i} = vec4u(p + ${i} * 3);`).join('\n')}
+  return fragOut;
+}
+    `;
+
+    t.debug(code);
+    const module = device.createShaderModule({ code });
+    const pipeline = device.createRenderPipeline({
+      layout: 'auto',
+      vertex: { module },
+      fragment: {
+        module,
+        targets: range(numColorAttachments, i => ({ format })),
+      },
+      depthStencil: {
+        depthWriteEnabled: true,
+        depthCompare: 'less',
+        format: 'depth24plus-stencil8',
+      },
+    });
+
+    const size = kWidth * kHeight * 4 * 4;
+    const usage = GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_SRC;
+    const storageBuffers = range(numStorageBuffers, i => t.createBufferTracked({ size, usage }));
+
+    const storageTextures = range(numStorageTextures, i =>
+      t.createTextureTracked({
+        format: 'rgba32uint',
+        size: [kWidth, kHeight],
+        usage: GPUTextureUsage.STORAGE_BINDING | GPUTextureUsage.COPY_SRC,
+      })
+    );
+
+    const targets = range(numColorAttachments, i =>
+      t.createTextureTracked({
+        format,
+        size: [kWidth, kHeight],
+        usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.COPY_SRC,
+      })
+    );
+
+    const bindGroup0 = device.createBindGroup({
+      layout: pipeline.getBindGroupLayout(0),
+      entries: storageBuffers.map((buffer, i) => ({ binding: i, resource: { buffer } })),
+    });
+
+    const bindGroup1 = device.createBindGroup({
+      layout: pipeline.getBindGroupLayout(1),
+      entries: storageTextures.map((storageTexture, i) => ({
+        binding: i,
+        resource: storageTexture.createView(),
+      })),
+    });
+
+    // Note: the depth-stencil attachment is just to add more output.
+    // We do not check its contents.
+    const encoder = device.createCommandEncoder();
+    const pass = encoder.beginRenderPass({
+      colorAttachments: targets.map(texture => ({
+        loadOp: 'clear',
+        storeOp: 'store',
+        view: texture.createView(),
+      })),
+      depthStencilAttachment: {
+        view: t
+          .createTextureTracked({
+            format: 'depth24plus-stencil8',
+            usage: GPUTextureUsage.RENDER_ATTACHMENT,
+            size: [kWidth, kHeight],
+          })
+          .createView(),
+        depthClearValue: 1.0,
+        depthLoadOp: 'clear',
+        depthStoreOp: 'store',
+        stencilClearValue: 0,
+        stencilLoadOp: 'clear',
+        stencilStoreOp: 'store',
+      },
+    });
+    pass.setPipeline(pipeline);
+    pass.setBindGroup(0, bindGroup0);
+    pass.setBindGroup(1, bindGroup1);
+    pass.draw(3);
+    pass.end();
+    device.queue.submit([encoder.finish()]);
+
+    const fillExpected = <T extends Uint32Array | Uint8Array>(expected: T, i: number) => {
+      for (let y = 0; y < kHeight; ++y) {
+        for (let x = 0; x < kWidth; ++x) {
+          const off = (y * kWidth + x) * 4;
+          expected[off + 0] = x + i;
+          expected[off + 1] = y + i;
+          expected[off + 2] = i;
+          expected[off + 3] = 1 + i;
+        }
+      }
+      return expected;
+    };
+
+    const makeExpectedRGBA32Uint = (i: number) => {
+      const expected = new Uint32Array(size / 4);
+      return fillExpected(expected, i);
+    };
+
+    const makeExpectedRGBA8Uint = (i: number) => {
+      const expected = new Uint8Array(kWidth * kHeight * 4);
+      return fillExpected(expected, i);
+    };
+
+    const makeExpectedR8Uint = (i: number) => {
+      const temp = makeExpectedRGBA8Uint(i);
+      const expected = new Uint8Array(kWidth * kHeight);
+      for (let i = 0; i < expected.length; ++i) {
+        expected[i] = temp[i * 4];
+      }
+      return expected;
+    };
+
+    storageBuffers.forEach((buffer, i) => {
+      t.expectGPUBufferValuesEqual(buffer, makeExpectedRGBA32Uint(i));
+    });
+
+    storageTextures.forEach((texture, i) => {
+      t.expectTexelViewComparisonIsOkInTexture(
+        { texture },
+        TexelView.fromTextureDataByReference(
+          'rgba32uint',
+          new Uint8Array(makeExpectedRGBA32Uint(i * 2).buffer),
+          {
+            bytesPerRow: kWidth * 16,
+            rowsPerImage: kHeight,
+            subrectOrigin: [0, 0],
+            subrectSize: [kWidth, kHeight],
+          }
+        ),
+        [kWidth, kHeight]
+      );
+    });
+
+    targets.forEach((texture, i) => {
+      let expected;
+      let bytesPerRow;
+      switch (format) {
+        case 'r8uint':
+          expected = makeExpectedR8Uint(i * 3);
+          bytesPerRow = kWidth;
+          break;
+        case 'rgba8uint':
+          expected = makeExpectedRGBA8Uint(i * 3);
+          bytesPerRow = kWidth * 4;
+          break;
+        case 'rgba32uint':
+          expected = new Uint8Array(makeExpectedRGBA32Uint(i * 3).buffer);
+          bytesPerRow = kWidth * 16;
+          break;
+      }
+      t.expectTexelViewComparisonIsOkInTexture(
+        { texture },
+        TexelView.fromTextureDataByReference(format, expected, {
+          bytesPerRow,
+          rowsPerImage: kHeight,
+          subrectOrigin: [0, 0],
+          subrectSize: [kWidth, kHeight],
+        }),
+        [kWidth, kHeight]
+      );
+    });
+  });