diff --git a/lib/std/math.zig b/lib/std/math.zig
index de77663d5b..6076f0e4e7 100644
--- a/lib/std/math.zig
+++ b/lib/std/math.zig
@@ -1,3 +1,4 @@
+const builtin = @import("builtin");
 const std = @import("std.zig");
 const assert = std.debug.assert;
 const mem = std.mem;
@@ -506,6 +507,12 @@ pub fn shl(comptime T: type, a: T, shift_amt: anytype) T {
 }
 
 test "shl" {
+    if ((builtin.zig_backend == .stage1 or builtin.zig_backend == .stage2_llvm) and
+        builtin.cpu.arch == .aarch64)
+    {
+        // https://github.com/ziglang/zig/issues/12012
+        return error.SkipZigTest;
+    }
     try testing.expect(shl(u8, 0b11111111, @as(usize, 3)) == 0b11111000);
     try testing.expect(shl(u8, 0b11111111, @as(usize, 8)) == 0);
     try testing.expect(shl(u8, 0b11111111, @as(usize, 9)) == 0);
@@ -546,6 +553,12 @@ pub fn shr(comptime T: type, a: T, shift_amt: anytype) T {
 }
 
 test "shr" {
+    if ((builtin.zig_backend == .stage1 or builtin.zig_backend == .stage2_llvm) and
+        builtin.cpu.arch == .aarch64)
+    {
+        // https://github.com/ziglang/zig/issues/12012
+        return error.SkipZigTest;
+    }
     try testing.expect(shr(u8, 0b11111111, @as(usize, 3)) == 0b00011111);
     try testing.expect(shr(u8, 0b11111111, @as(usize, 8)) == 0);
     try testing.expect(shr(u8, 0b11111111, @as(usize, 9)) == 0);
@@ -578,6 +591,12 @@ pub fn rotr(comptime T: type, x: T, r: anytype) T {
 }
 
 test "rotr" {
+    if ((builtin.zig_backend == .stage1 or builtin.zig_backend == .stage2_llvm) and
+        builtin.cpu.arch == .aarch64)
+    {
+        // https://github.com/ziglang/zig/issues/12012
+        return error.SkipZigTest;
+    }
     try testing.expect(rotr(u8, 0b00000001, @as(usize, 0)) == 0b00000001);
     try testing.expect(rotr(u8, 0b00000001, @as(usize, 9)) == 0b10000000);
     try testing.expect(rotr(u8, 0b00000001, @as(usize, 8)) == 0b00000001);
@@ -606,6 +625,12 @@ pub fn rotl(comptime T: type, x: T, r: anytype) T {
 }
 
 test "rotl" {
+    if ((builtin.zig_backend == .stage1 or builtin.zig_backend == .stage2_llvm) and
+        builtin.cpu.arch == .aarch64)
+    {
+        // https://github.com/ziglang/zig/issues/12012
+        return error.SkipZigTest;
+    }
     try testing.expect(rotl(u8, 0b00000001, @as(usize, 0)) == 0b00000001);
     try testing.expect(rotl(u8, 0b00000001, @as(usize, 9)) == 0b00000010);
     try testing.expect(rotl(u8, 0b00000001, @as(usize, 8)) == 0b00000001);
@@ -1622,6 +1647,12 @@ fn testSign() !void {
 }
 
 test "sign" {
+    if ((builtin.zig_backend == .stage1 or builtin.zig_backend == .stage2_llvm) and
+        builtin.cpu.arch == .aarch64)
+    {
+        // https://github.com/ziglang/zig/issues/12012
+        return error.SkipZigTest;
+    }
     try testSign();
     comptime try testSign();
 }
diff --git a/lib/std/simd.zig b/lib/std/simd.zig
index 19205e13fb..1a71bd7069 100644
--- a/lib/std/simd.zig
+++ b/lib/std/simd.zig
@@ -160,6 +160,12 @@ pub fn extract(
 }
 
 test "vector patterns" {
+    if ((builtin.zig_backend == .stage1 or builtin.zig_backend == .stage2_llvm) and
+        builtin.cpu.arch == .aarch64)
+    {
+        // https://github.com/ziglang/zig/issues/12012
+        return error.SkipZigTest;
+    }
     const base = @Vector(4, u32){ 10, 20, 30, 40 };
     const other_base = @Vector(4, u32){ 55, 66, 77, 88 };