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Mathematics Quiz Worksheet

QUIZLINO
Set 1 · Mixed
Name:Class / Group:Score:     / 20

Choose the best answer for each question. The answer key is on the last page.

  1. What is the smallest number that is divisible by 12, 15, and 20?
    A. 40 B. 50 C. 60 D. 120
  2. Calculate the sum of 40 and 19.
    A. 64 B. 56 C. 59 D. 61
  3. What is the value of √225?
    A. 12 B. 13 C. 14 D. 15
  4. What is the Least Common Multiple (LCM) of 18 and 24?
    A. 72 B. 432 C. 82 D. 144
  5. What theorem is used to find the length of an unknown side in a right-angled triangle?
    A. Pascal's Theorem B. Pythagoras' Theorem C. Euclid's Theorem D. Binomial Theorem
  6. If there are 6 oranges and 4 lemons in a bowl, how can the ratio of oranges to lemons be most simply expressed?
    A. 2:3 B. 3:2 C. 6:4 D. 4:6
  7. What is the sum of 21 ÷ 7?
    A. 2 B. 3 C. 4 D. 5
  8. Divide the number 60 by 5. What is the quotient?
    A. 17 B. 14 C. 9 D. 12
  9. 20 + (90 ÷ 2) is equal to:
    A. 50 B. 55 C. 65 D. 60
  10. Solve: 144÷12+9.
    A. 19 B. 20 C. 21 D. 22
  11. What is the sum of 18 – 9?
    A. 8 B. 9 C. 10 D. 11
  12. What is the sum of 19 – 21?
    A. -1 B. -2 C. 1 D. 2
  13. If the ratio of boys to girls in a class is 3:5 and there are 40 students, how many are girls?
    A. 15 B. 20 C. 25 D. 30
  14. Identify which of the following numbers is an even number. (Set 24)
    A. 70 B. 73 C. 69 D. 65
  15. Find the area of a rectangular field with length 10 meters and width 6 meters.
    A. 60 sq meters B. 68 sq meters C. 32 sq meters D. 40 sq meters
  16. What is the value of √144 + √81?
    A. 19 B. 20 C. 21 D. 22
  17. What is the sum of all prime numbers between 10 and 20?
    A. 50 B. 60 C. 70 D. 80
  18. Identify which of the following numbers is an even number. (Set 28)
    A. 63 B. 59 C. 67 D. 64
  19. The perimeter of a shape is defined as the total length of its boundary. True or False?
    A. True B. False C. Cannot Say D. None of the Above
  20. How many sides does a dodecahedron have?
    A. 10 B. 11 C. 12 D. 20
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Answer key – Mathematics (Set 1)

  1. C. 60 – The smallest number divisible by 12, 15 and 20 is their LCM. 12 = 2² × 3, 15 = 3 × 5, 20 = 2² × 5, so the LCM = 2² × 3 × 5 = 60. That is why an hour of 60 minutes divides neatly into many equal parts.
  2. C. 59 – 40 + 19 = 59. Adding 19 is the same as adding 20 and taking away 1: 40 + 20 = 60, and 60 − 1 = 59. This trick is useful whenever a number is just below a round ten. Check: 59 − 40 = 19.
  3. D. 15 – √225 = 15, because 15 × 15 = 225. Numbers ending in 25 often have square roots ending in 5. The trick: 1 × 2 = 2, and putting 25 after it gives 225 = 15².
  4. A. 72 – The LCM of 18 and 24 is 72. Prime factors: 18 = 2 × 3² and 24 = 2³ × 3. Taking the highest powers gives 2³ × 3² = 72. Check with the formula: 18 × 24 = 432, and 432 ÷ HCF (6) = 72. Listing multiples of 24 (24, 48, 72) also finds it fast.
  5. B. Pythagoras' Theorem – Pythagoras' theorem finds an unknown side of a right-angled triangle: a² + b² = c², where c is the hypotenuse, the longest side, opposite the right angle. The famous 3-4-5 triangle works because 9 + 16 = 25. Indian mathematician Baudhayana described this rule centuries before Pythagoras.
  6. B. 3:2 – The ratio of oranges to lemons is 6 : 4. Divide both numbers by their highest common factor, 2, to get 3 : 2. That means for every 3 oranges there are 2 lemons. Simplifying a ratio works just like simplifying a fraction.
  7. B. 3 – 21 ÷ 7 = 3, because 7 × 3 = 21. Division asks how many times one number fits into another. A real-life example: 21 days make exactly 3 weeks. Every division fact has a matching multiplication fact.
  8. D. 12 – 60 ÷ 5 = 12. Dividing by 5 is the same as dividing by 10 and then doubling: 60 ÷ 10 = 6, and 6 × 2 = 12. Check by multiplying back: 12 × 5 = 60. This trick works for any number divided by 5.
  9. C. 65 – Division comes before addition in the order of operations, and brackets confirm it here: 90 ÷ 2 = 45, then 20 + 45 = 65. If you added first by mistake, (20 + 90) ÷ 2, you would wrongly get 55, so the order matters.
  10. C. 21 – Division before addition: 144 ÷ 12 = 12, then 12 + 9 = 21. 144 is 12 × 12, a 'gross' or dozen dozens, which makes this division easy to remember.
  11. B. 9 – 18 − 9 = 9 (strictly a difference, since subtraction gives a difference and addition gives a sum). Half of 18 is 9, so taking 9 away leaves the other half. Check: 9 + 9 = 18. Knowing doubles like this makes mental subtraction quicker.
  12. B. -2 – 19 − 21 = −2. When you subtract a bigger number from a smaller one, the answer is negative. On a number line, start at 19 and move 21 steps left: you pass 0 after 19 steps and end 2 steps further, at −2.
  13. C. 25 – Boys : girls = 3 : 5, so there are 3 + 5 = 8 parts. With 40 students, one part = 40 ÷ 8 = 5 students. Girls = 5 × 5 = 25 and boys = 3 × 5 = 15. Check: 25 + 15 = 40.
  14. A. 70 – 70 is even because it ends in 0. Any number ending in 0 is a multiple of 10, and since 10 is even, every multiple of 10 is also even. 70 can be shared into two equal groups of 35 with nothing left over.
  15. A. 60 sq meters – Area of a rectangle = length × width = 10 m × 6 m = 60 m². Area measures the space inside a shape, counted in square units. Picture the field as 10 rows with 6 one-metre squares in each: 60 squares in total. Note that area uses square metres, not metres.
  16. C. 21 – √144 = 12 (since 12 × 12 = 144) and √81 = 9 (since 9 × 9 = 81). Adding them gives 12 + 9 = 21. Note that √144 + √81 is not the same as √(144 + 81) = √225 = 15.
  17. B. 60 – The primes between 10 and 20 are 11, 13, 17 and 19 (12, 14, 15, 16 and 18 are not prime). Their sum is 11 + 13 + 17 + 19 = 60. Pairs like 11 & 13 and 17 & 19 are called twin primes because they differ by 2.
  18. D. 64 – 64 is even because it ends in 4. It divides exactly by 2: 64 ÷ 2 = 32. In fact, 64 can be halved again and again (32, 16, 8, 4, 2, 1), because it is 2⁶. It is also 8 × 8, a perfect square, and 4 × 4 × 4, a perfect cube.
  19. A. True – True. The perimeter is the total length of a shape's boundary, the distance all the way around it. For a rectangle it is 2 × (length + width), and for a circle it is called the circumference. The word comes from the Greek 'peri' (around) and 'metron' (measure).
  20. C. 12 – A dodecahedron has 12 faces; 'dodeca' means twelve in Greek. A regular dodecahedron has 12 pentagon faces, 30 edges and 20 vertices. It is one of the five Platonic solids, and 12-sided dice used in games have this shape.