Hard Math & Logic Quiz Questions for Kids (with Answers)

Tap a question to reveal the answer. 25 questions below.

1. 1. What is 12% of 250?Show answer

   • 25
   • 30 — correct
   • 35
   • 40

   10% of 250 = 25. 2% = 5. Total 12% = 30.

   🏷️ Mental percent tricks save time shopping!

2. 2. What is the value of 2 + 3 × (4 + 1)?Show answer

   • 25
   • 17 — correct
   • 20
   • 30

   (4+1)=5, 3×5=15, 2+15=17.

   📐 Order of operations prevents maths miscommunication!

3. 3. Solve: 3x − 5 = 16Show answer

   • 5
   • 6
   • 7 — correct
   • 8

   3x = 21, so x = 7.

   ⚖️ Equations balance — do the same to both sides!

4. 4. A shirt costs £40. It is reduced by 20%. What is the sale price?Show answer

   • £8
   • £28
   • £32 — correct
   • £36

   20% of 40 = 8. Sale price = 40 − 8 = £32.

   🛍️ Black Friday deals all use percentage maths!

5. 5. What is the circumference of a circle with radius 7 cm? (Use π ≈ 3.14, round to nearest whole)Show answer

   • 22 cm
   • 44 cm — correct
   • 49 cm
   • 154 cm

   C ≈ 2 × 3.14 × 7 = 43.96 ≈ 44 cm.

   🥧 Pi (π) is the ratio of any circle's circumference to its diameter!

6. 6. Simplify: 4/6 + 2/3Show answer

   • 6/9
   • 1
   • 4/3 — correct
   • 8/6

   4/6 + 4/6 = 8/6 = 4/3.

   🧮 Improper fractions are greater than 1!

7. 7. A car travels 240 km in 3 hours. What is its average speed?Show answer

   • 60 km/h
   • 70 km/h
   • 80 km/h — correct
   • 90 km/h

   240 ÷ 3 = 80 km/h.

   🚗 Speed limits use the same distance-over-time maths!

8. 8. What is 0.75 ÷ 0.25?Show answer

   • 2
   • 3 — correct
   • 4
   • 5

   0.75 ÷ 0.25 = 3.

   🔢 Scaling decimals to whole numbers simplifies division!

9. 9. How many different 2-letter codes from {A,B,C} if order matters and no repeats?Show answer

   • 6 — correct
   • 9
   • 3
   • 12

   3 × 2 = 6 codes (AB, AC, BA, BC, CA, CB).

   🔐 Password maths uses combinatorics!

10. 10. √144 = 12Show answer

    Answer: True

    12 × 12 = 144, so √144 = 12.

    📐 Square roots undo squaring!

11. 11. The ratio of boys to girls in a class is 2:3. If there are 12 boys, how many girls?Show answer

    • 15
    • 18 — correct
    • 20
    • 24

    One part = 6. Girls = 3 × 6 = 18.

    📊 Ratios appear in maps, recipes, and sports stats!

12. 12. What is the area of a triangle with base 10 cm and height 6 cm?Show answer

    • 16 cm²
    • 30 cm² — correct
    • 60 cm²
    • 120 cm²

    Area = ½ × 10 × 6 = 30 cm².

    🏕️ Triangular shapes distribute weight efficiently!

13. 13. If 5 workers finish a job in 8 days, how long for 10 workers (same rate)?Show answer

    • 4 days — correct
    • 6 days
    • 8 days
    • 16 days

    Doubling workers halves the time: 4 days.

    📈 Inverse proportion appears in speed-time-distance problems!

14. 14. What is 3/5 expressed as a percentage?Show answer

    • 35%
    • 60% — correct
    • 65%
    • 80%

    3/5 = 0.6 = 60%.

    📊 Test scores are often fractions turned into percents!

15. 15. Solve: 2(x + 4) = 18Show answer

    • 3
    • 4
    • 5 — correct
    • 6

    x + 4 = 9, so x = 5.

    🔍 Distributive property links 2(x+4) to 2x+8!

16. 16. A dice is rolled. What is P(rolling an even number)?Show answer

    • 1/6
    • 1/3
    • 1/2 — correct
    • 2/3

    3 even outcomes out of 6 = 1/2.

    🎲 Fair dice give equal probability to each face!

17. 17. What is the mean of: 10, 12, 14, 18?Show answer

    • 12
    • 13
    • 13.5 — correct
    • 14

    Sum = 54. Mean = 54 ÷ 4 = 13.5.

    📊 Weather averages use means every day!

18. 18. Convert 3/8 to a decimal.Show answer

    • 0.25
    • 0.375 — correct
    • 0.4
    • 0.625

    3 ÷ 8 = 0.375.

    🔢 Some decimals repeat forever — 1/3 = 0.333...!

19. 19. What is 15 × 15?Show answer

    • 200
    • 215
    • 225 — correct
    • 250

    15² = 225.

    🧮 Squaring numbers ending in 5 has a quick mental trick!

20. 20. Interior angles of a quadrilateral sum to?Show answer

    • 180°
    • 270°
    • 360° — correct
    • 540°

    Any quadrilateral's interior angles add to 360°.

    🏠 Room corners are quadrilaterals — four 90° corners = 360°!

21. 21. A price rises from £50 to £65. What is the percentage increase?Show answer

    • 15%
    • 25%
    • 30% — correct
    • 35%

    15/50 = 0.3 = 30% increase.

    📈 Inflation reports use percentage change!

22. 22. What is log₂(8) if you know 2³ = 8?Show answer

    • 2
    • 3 — correct
    • 4
    • 8

    2³ = 8, so log₂(8) = 3.

    💻 Logarithms measure how many times you multiply!

23. 23. How many ways to arrange the letters A and B (2 letters, both used)?Show answer

    • 1
    • 2 — correct
    • 3
    • 4

    AB and BA — 2 arrangements.

    🔤 Anagram puzzles use permutation counting!

24. 24. A rectangular prism is 4×3×2 cm. What is its volume?Show answer

    • 9 cm³
    • 12 cm³
    • 24 cm³ — correct
    • 48 cm³

    4 × 3 × 2 = 24 cm³.

    📦 Shipping boxes are priced partly by volume!

25. 25. If today is Wednesday, what day will it be 100 days from now?Show answer

    • Friday — correct
    • Saturday
    • Sunday
    • Monday

    100 = 14×7 + 2. Two days after Wednesday is Friday.

    📅 Modular arithmetic powers calendar and computer science!

Hard Math & Logic Quiz Questions for Kids (with Answers)