Real quiz problems often look straightforward, but the trap is usually a small step: a sign error in algebra, an incorrect fraction simplification, or reading a word problem too literally. Here are a few practice-style examples you can use to build that “points protection” mindset.
These aren’t pulled from any single school, and they’re not meant to predict your exact quiz. They’re meant to train the same muscles.
Example set: proportional and percent reasoning
1) Find 70% of 40.
70% = 0.70, so 0.70 × 40 = 28.
2) A shirt costs $50 after a 20% discount. What is the sale price?
20% off means you pay 80%: 0.80 × 50 = 40.
3) If 12 out of 18 students passed, what percent passed?
12 ÷ 18 = 2 ÷ 3. 2/3 ≈ 0.666..., so percent ≈ 66.7%.
Example set: linear equations
4) Solve: 3x + 5 = 20.
3x = 15, so x = 5.
5) Solve: 2(x − 3) = 14.
x − 3 = 7, so x = 10.
6) Solve: (x/4) + 6 = 9.
x/4 = 3, so x = 12.
Example set: basic geometry
7) Find the area of a rectangle with length 9 and width 6.
Area = 9 × 6 = 54 square units.
8) A triangle has angles 40°, 60°, and x°. Find x.
Angles in a triangle sum to 180°, so x = 180 − 100 = 80°.
