Most Common Math Quiz with Explanations

1. What is (12 + 8) × 2?

Options:
a) 30
b) 32
c) 36
d) 40

Answer: 40

Explanation:
Follow the order of operations (BODMAS/PEMDAS):

  • Step 1: Add first → (12 + 8) = 20
  • Step 2: Multiply → 20 × 2 = 40

2. Solve for x: 5x – 7 = 18

Options:
a) 3
b) 4
c) 5
d) 6

Answer: 5

Explanation:
To find x, isolate it step by step:

  • Step 1: Add 7 to both sides → 5x = 18 + 7
  • Step 2: Simplify → 5x = 25
  • Step 3: Divide by 5 → x = 25 ÷ 5 = 5

3. The sum of three consecutive even numbers is 54. What is the smallest number?

Options:
a) 14
b) 16
c) 18
d) 20

Answer: 16

Explanation:
Let the three consecutive even numbers be x, x+2, x+4.

  • Equation: x + (x+2) + (x+4) = 54
  • Simplify: 3x + 6 = 54
  • Subtract 6: 3x = 48
  • Divide by 3: x = 16

The smallest number is 16.


4. If a triangle has angles of 40° and 65°, what is the measure of the third angle?

Options:
a) 65°
b) 75°
c) 85°
d) 95°

Answer: 75°

Explanation:
The sum of all angles in a triangle is 180°.

  • Equation: 40° + 65° + ? = 180°
  • Solve: 180° – (40° + 65°) = 75°

5. A store is offering a 25% discount on a $120 item. What is the sale price?

Options:
a) $80
b) $90
c) $95
d) $100

Answer: $90

Explanation:

  • Step 1: Find 25% of $120 → (25/100) × 120 = 30
  • Step 2: Subtract from original price → 120 – 30 = 90

6. If 4 pencils cost $6, how much do 10 pencils cost?

Options:
a) $12
b) $14
c) $15
d) $18

Answer: $15

Explanation:

  • Step 1: Find the cost of 1 pencil → $6 ÷ 4 = $1.50
  • Step 2: Multiply by 10 → 10 × $1.50 = $15

7. A train travels 240 km in 3 hours. What is its average speed?

Options:
a) 60 km/h
b) 70 km/h
c) 75 km/h
d) 80 km/h

Answer: 80 km/h

Explanation:

  • Formula: Speed = Distance ÷ Time
  • Step 1: 240 km ÷ 3 hours = 80 km/h

8. What is the square root of 144?

Options:
a) 10
b) 11
c) 12
d) 13

Answer: 12

Explanation:

  • Step 1: Identify a number that, when multiplied by itself, gives 144.
  • Step 2: 12 × 12 = 144
  • So, √144 = 12

9. Convert 3/4 into a decimal.

Options:
a) 0.25
b) 0.5
c) 0.75
d) 1.25

Answer: 0.75

Explanation:

  • Step 1: Divide 3 by 4 → 3 ÷ 4 = 0.75

10. If the perimeter of a square is 36 cm, what is the length of one side?

Options:
a) 6 cm
b) 8 cm
c) 9 cm
d) 12 cm

Answer: 9 cm

Explanation:

  • Formula: Perimeter of a square = 4 × Side
  • Step 1: Set up the equation → 4s = 36
  • Step 2: Divide by 4 → s = 36 ÷ 4 = 9 cm

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