Q1 The value of the 4 in the numeral 3495 is expressed as
In 3495 the digits are 3 thousands, 4 hundreds, 9 tens, 5 ones. The 4 sits in the hundreds place, so its value is 4 × 100 = 400.
Number, place value & operations
Q2 Which digit in the number 68 900 has the greatest value?
Read each digit's place value: 6 → 60 000, 8 → 8 000, 9 → 900. The 6 has the greatest value because it's in the ten-thousands place.
Q3 John chose a number, doubled it and subtracted 5 from the answer. The result was 45. What number did John choose?
Work backwards. Add the 5 back: 45 + 5 = 50. Then halve (undo the doubling): 50 ÷ 2 = 25.
Q4 Which of the following lists contains only prime numbers?
A prime number has exactly two factors: 1 and itself. Test each list:
- A — 1 is not prime (only one factor); 15 = 3 × 5. ✗
- B — 9 = 3 × 3; 45 = 9 × 5. ✗
- C — 2, 19, 61 and 97 are all prime. ✓
Q5 The number 2.45 rounded off to the nearest whole number is
The decimal part is 0.45, which is less than 0.5, so we round down to 2.
Fractions
Q6 The sum of 1⁄4 and 2⁄3 is
Common denominator is 12. 1⁄4 = 3⁄12 and 2⁄3 = 8⁄12. Sum = 3⁄12 + 8⁄12 = 11⁄12.
Q7 Ishmael is 3 times as old as his sister Anya. The sum of their ages is 36 years. How old is Ishmael?
Let Anya's age = x. Then Ishmael's age = 3x. Sum: x + 3x = 4x = 36, so x = 9 (Anya). Ishmael = 3 × 9 = 27.
Q8 P is an odd number and Q is an even number. Which of the following statements about P and Q is always FALSE?
Odd ± even = odd (always). Odd × even = even (always). So:
- A sum P + Q is odd → always TRUE.
- B product P × Q is even → always TRUE.
- C difference P − Q is odd, NOT even → always FALSE. ✓
Q9 A unit fraction has a ________ of 1.
A unit fraction is one whole part out of many — for example 1⁄2, 1⁄3, 1⁄10. The numerator (top number) is always 1; the denominator changes.
Q10 8 5⁄7 written as an improper fraction is
Multiply the whole number by the denominator, add the numerator, and put the result over the original denominator: (8 × 7) + 5 = 56 + 5 = 61. So 85⁄7 = 61⁄7.
Q11 If N + 2 results in a prime number, which of the following numbers represents N?
Test each option in N + 2: 14 + 2 = 16 (= 2 × 8, not prime). 19 + 2 = 21 (= 3 × 7, not prime). 21 + 2 = 23 ✓ (prime — only factors 1 and 23).
Q12 The symbol that will make the statement 2/3 ◯ 4/6 true is
4⁄6 simplifies to 2⁄3 (divide top and bottom by 2). So the two fractions are equal.
Q13 The fractions 1⁄3, 6⁄9, 3⁄4, 7⁄12 written in ASCENDING order (smallest to largest) is
Convert each to a decimal: 1⁄3 ≈ 0.333, 6⁄9 = 2⁄3 ≈ 0.667, 3⁄4 = 0.75, 7⁄12 ≈ 0.583. From smallest to largest: 0.333, 0.583, 0.667, 0.75 → 1⁄3, 7⁄12, 6⁄9, 3⁄4.
Q14 1⁄2 ÷ 2⁄3 =
Keep, change, flip — keep the first fraction, change ÷ to ×, flip the second: 1⁄2 × 3⁄2 = 3⁄4.
Q15 The length of a water pipe is 7 m. How many pieces, each measuring 1⁄4 m, can be cut from the pipe?
"How many 1⁄4-m pieces fit in 7 m?" means 7 ÷ 1⁄4 = 7 × 4 = 28 pieces.
Decimals & percentages
Q16 Which of the following lists shows the decimals arranged in DESCENDING order (largest to smallest)?
Compare digit-by-digit from the left. 0.92 > 0.902 > 0.29 > 0.090. (0.92 vs 0.902: tenths are equal at 9, hundredths 2 > 0.)
Q17 The cost of 4 apples is $4.48. What is the cost of 10 similar apples?
Find the cost of one apple: $4.48 ÷ 4 = $1.12. Then 10 apples cost 10 × $1.12 = $11.20.
Q18 In a class, 21⁄2 pans of cake were shared equally among 10 children. What portion of a cake did each child get?
21⁄2 ÷ 10 = 5⁄2 ÷ 10 = 5⁄20 = 1⁄4 = 0.25 of a pan per child.
Q19 3.3% expressed as a decimal is
To turn a percent into a decimal, divide by 100 (move the decimal two places to the left): 3.3 ÷ 100 = 0.033.
Q20 Liam scored 12 of 40 points for the school's basketball team. What percentage of the total points was scored by the other members of the team?
Liam's share = 12 ⁄ 40 = 3⁄10 = 30%. So the others scored 100% − 30% = 70%.
Q21 A furniture store sold chairs at a price of $600 each. A damaged chair was sold for $450. What was the percentage loss on this chair?
Loss = $600 − $450 = $150. Percentage loss = (loss ⁄ original price) × 100 = (150 ⁄ 600) × 100 = 25%.
Ratio & proportion
Q22 7⁄8 expressed as a ratio is
A fraction a⁄b is just the ratio of part to whole, a : b. So 7⁄8 ⇒ 7 : 8.
Q23 To make one costume, a seamstress uses 3 materials, satin, wool and lace, in the ratio 6 : 2 : 3 respectively. How many costumes did she make when she used the materials in the ratio 30 : 10 : 15?
Each costume uses 6 + 2 + 3 = 11 parts. Compare each material in the new ratio to the original: 30 ÷ 6 = 5, 10 ÷ 2 = 5, 15 ÷ 3 = 5. All three give 5, so she made 5 costumes.
Measurement
Q24 A package weighed 1.5 kg. After removing some items from the package, it weighed 1 kg. What was the weight of the items that were removed?
Mass removed = 1.5 − 1 = 0.5 kg. Convert to grams (1 kg = 1 000 g): 0.5 × 1 000 = 500 g.
Q25 The open surface of a plot of land can be BEST described as the
Area measures the surface (in m² or similar). Volume measures 3-D space; perimeter measures the boundary length.
Q26 What is 7:30 p.m. written in the 24-hour format?
For p.m. times, add 12 hours: 7 + 12 = 19. So 7:30 p.m. = 19:30 hrs.
Q27 Kelvin has an equal number of 25-cent coins and 50-cent coins in his piggy bank. Altogether, the coins add up to $9. How many 25-cent coins does he have?
Let x be the number of each kind of coin. Total: 25x + 50x = 900 cents (= $9). 75x = 900, so x = 12. He has 12 of each.
Q28 The area of a square is 144 cm². What is the perimeter, in cm, of the same square?
Side of the square = √144 = 12 cm. Perimeter = 4 × side = 4 × 12 = 48 cm.
Q29 A toy shop sells dolls for $10.25, balls for $2.00, and skipping ropes for $3.50. Alexa bought some items and paid exactly $12.50. This means she bought
Test each option:
- A: $10.25 + $2.00 = $12.25 (no)
- B: 3 × $3.50 + $2.00 = $10.50 + $2.00 = $12.50 ✓
- C: 4 × $2.00 + $3.50 = $8.00 + $3.50 = $11.50 (no)
Q30 Tom measured his pencil using a ruler with markings 2 cm to 6 cm. The length of Tom's pencil is approximately
When measuring with a ruler that doesn't start at zero, take the difference between the two endpoints. The pencil's pointy tip is at the 2 cm mark and its flat end sits at the 5 cm mark, so its length is 5 − 2 = 3 cm.
Q31 The rate of exchange at a bank is BDS$1.00 = EC$1.44. Ashley changed BDS$500.00 into EC dollars. She spent EC$415.00. How many EC dollars did she have left?
Step 1 — convert BDS$500 to EC$: 500 × 1.44 = EC$720. Step 2 — subtract what she spent: 720 − 415 = EC$305.
Q32 What is the missing value? 0.7 km = ____ m
1 km = 1 000 m, so 0.7 km = 0.7 × 1 000 = 700 m.
Q33 A clock shows 3:25 p.m. The time 40 minutes later will be
3:25 + 40 minutes. Add 35 minutes to reach 4:00, then 5 more minutes → 4:05 p.m.
Q34 A motorcycle travels at an average speed of 30 km per hour. How many minutes will it take to travel 20 km?
Time = distance ÷ speed = 20 ⁄ 30 = 2⁄3 of an hour. Convert to minutes: 2⁄3 × 60 = 40 minutes.
Q35 Patrick had a total of $0.89 in coins in his pocket. He lost three 25-cent pieces while playing. How much money did he have left?
Three 25-cent pieces = 3 × $0.25 = $0.75. Money left = $0.89 − $0.75 = $0.14.
Q36 A 12 cm by 4 cm rectangle has its diagonal drawn from the top-left to the bottom-right corner. The triangular region above the diagonal is shaded. Its area is
Area of full rectangle = 12 × 4 = 48 cm². The diagonal cuts the rectangle into two equal triangles, so each shaded triangle has area 48 ÷ 2 = 24 cm².
Q37 A thermometer is marked from −10 °C to 30 °C. The mercury sits between the 20 °C and 30 °C marks, slightly above the halfway point. The thermometer's reading is MOST accurately represented as
The mercury level falls just past the midpoint (25 °C) of the 20–30 °C interval. Of the choices given, 26 °C is the most accurate reading. (20 °C undersells; 25 °C is exactly the midpoint, but the line is clearly above that.)
Geometry & shapes
Q38 Two straight lines cross each other at a single point. The lines can be described as
Lines that cross each other are intersecting. Parallel lines never meet; perpendicular lines meet at a 90° angle (a special kind of intersecting).
Q39 Three plane shapes are shown — I = square, II = pentagon, III = circle. Which of the shapes are polygons?
A polygon is a closed shape made of straight line segments. The square (I) and pentagon (II) qualify. The circle (III) has a curved boundary, so it is not a polygon.
Q40 A cross-shaped net (six rectangular pieces in a "T" / "+" arrangement) labelled Y is shown. The net represents a
The net Y is made of six equal squares arranged in a "+" cross. When folded, each square becomes one face of a cube. (A cuboid would need rectangular faces of two different sizes; a cylinder has curved surfaces and only two flat circular ends.)
Q41 A "bow-tie" shape (two triangles meeting at a point) is shown on a grid. How many lines of symmetry does the shape have?
Imagine folding the shape so the two halves match exactly:
- Horizontal fold (left mirrors right) ✓
- Vertical fold (top mirrors bottom) ✓
Q42 A triangle has angles 97° and 33° marked, with side lengths 10 cm and 12 cm. The triangle is BEST described as
Find the third angle: 180° − 97° − 33° = 50°. The three angles 97°, 50°, 33° are all different, so all three sides are different lengths too — that's a scalene triangle. (Isosceles needs two equal sides; equilateral needs three equal sides + three 60° angles.)
Q43 An angle which measures 185° is described as
Angle classification: acute < 90°, right = 90°, obtuse 90°–180°, straight = 180°, reflex 180°–360°. 185° lies just past 180°, so it's a reflex angle.
Q44 Three solids P, Q, R have these features:
| Shape | Face(s) | Vertices | Edges |
|---|---|---|---|
| P | 6 | 8 | 12 |
| Q | 3 | 0 | 2 |
| R | 1 | 0 | 0 |
Which of the following groups of solids represents the three-dimensional shapes P, Q and R respectively?
P — 6 faces, 8 vertices, 12 edges → matches a cuboid (a cube fits this too, but only "cuboid" appears as the first item in the C option). Q — 3 faces (2 circles + 1 curved surface), 0 vertices, 2 edges (the two circular rims) → a cylinder. R — 1 curved face, 0 vertices, 0 edges → a sphere.
Q45 Which of the following shapes is NOT an example of a parallelogram?
A parallelogram has two pairs of parallel sides. A square (yes), a rhombus (yes — slanted square) and a rectangle all qualify. A kite has two pairs of adjacent equal sides but its opposite sides are not parallel, so it is not a parallelogram.
Statistics & data handling
Q46 The shoe sizes of 10 boys are 7, 8.5, 8, 9, 6, 10, 7, 6, 7, 9. What is the modal shoe size?
The mode is the most-frequent value. Tally the data: 6 appears 2 times, 7 appears 3 times, 8 once, 8.5 once, 9 twice, 10 once. The mode is 7.
Q47 The runs scored by 3 batsmen — Shivdas Chatterpaul: 47, Devon Sammy: ?, Charles Powell: 53. The mean number of runs scored by the 3 batsmen was 55. How many runs did Devon Sammy score?
Total runs = mean × number of values = 55 × 3 = 165. Subtract the two known scores: 165 − 47 − 53 = 65 runs.
Questions 48–50 refer to the bar graph "Number of pupils who joined various clubs in a school." Bars: Science = 15, Art = 40, English = 10, Maths = 30, Drama = 25.
Q48 How many pupils joined the Drama club?
Read the height of the Drama bar — it reaches 25 on the y-axis.
Q49 How many more pupils joined the Science club than the English club?
Science = 15, English = 10. Difference = 15 − 10 = 5 pupils.
Q50 What fraction of the students joined the Maths club?
Total pupils = 15 + 40 + 10 + 30 + 25 = 121. Maths club fraction = 30 ⁄ 120 = 0.25 ≈ 1⁄4 (since 120 ÷ 4 = 30).
Quick answer key
1. B | 2. A | 3. B | 4. C | 5. B | 6. C | 7. A | 8. C | 9. B | 10. B
11. C | 12. C | 13. A | 14. B | 15. C | 16. A | 17. A | 18. B | 19. A | 20. C
21. A | 22. B | 23. C | 24. B | 25. A | 26. A | 27. C | 28. C | 29. B | 30. A
31. C | 32. B | 33. C | 34. B | 35. A | 36. B | 37. C | 38. B | 39. A | 40. A
41. B | 42. A | 43. A | 44. C | 45. A | 46. B | 47. A | 48. C | 49. A | 50. B
Solutions generated by Kairu — Student Hub's AI system, trained by The Student Hub. AI can make mistakes — always cross-check tricky answers with your teacher.