Solution Marutius students Primary School Achievement Certificate (PSAC) Mathematics Mock Practice Paper (Set B)

 

PSAC Mathematics Practice Paper (Set B)

Detailed Solutions & Step-by-Step Marking Guide

Question 1

Add column values straight down:
• Units: 5 + 2 = 7 | Tens: 3 + 4 = 7 | Hundreds: 6 + 1 = 7

Answer: 777

Question 2

Subtract column components from right to left:
• Units: 4 - 1 = 3 | Tens: 6 - 4 = 2 | Hundreds: 7 - 2 = 5

Answer: 523

Question 3

The shape exhibits 4 sides where both opposite pairs are parallel. This properties profile represents a Parallelogram.

Answer: Parallelogram

Question 4

Multiply values directly: 3 × 3 = 9; 3 × 0 = 0; 3 × 4 = 12.

Answer: 1209

Question 5

Find the Highest Common Factor (HCF) of 12 and 30, which is 6. Divide top and bottom parts by 6:
12 ÷ 6 = 2 and 30 ÷ 6 = 5.

Answer: 2/5

Question 6

Since 1 kilometer = 1000 meters: 8.5 × 1000 = 8500 meters.

Answer: 8500

Question 7

• (a) Words to numerals matches 372.
• (b) 2451 outputs textually as: Two thousand, four hundred and fifty-one.

Answers: (a) 372 | (b) Two thousand, four hundred and fifty-one

Question 8

Total rectangular elements grid space count = 12. Total grey modules selected = 5. Fraction = 5/12.

Answer: 5/12

Question 9

Complete short division path: 1736 ÷ 4 = 434.

Answer: 434

Question 10

Add standard numerators directly: (5 + 7) / 17 = 12/17.

Answer: 12/17

Question 11

Evaluate exponential notation parameters: 9 × 9 = 81.

Answer: 81

Question 12

Reflex angles exist strictly between the angular spaces greater than 180° and less than 360°.

Answer: Option 4 (between 180° and 360°)

Question 13

Factors of 12 are [1,2,3,4,6,12] and 18 are [1,2,3,6,9,18]. Intersecting peak factor is 6.

Answer: 6

Question 14

Sort from lowest numeric boundary upward: 2450 < 2504 < 5204 < 5420.

Answer: 2450, 2504, 5204, 5420

Question 15

Linear baseline supplement properties sum to 180°: x = 180° - 65° = 115°.

Answer: 115

Question 16

23 divided by 5 equals 4 whole steps with 3 units remaining: 4 3/5.

Answer: 4 3/5

Question 17

• (a) 4 × 12 = 48 -> two decimal shifts = 0.48.
• (b) 14.8 ÷ 4 evaluates directly to 3.7.

Answers: (a) 0.48 | (b) 3.7

Question 18

In 45 312, the number 5 resides inside the thousands coordinate location columns.

Answer: 5000 (or Thousands)

Question 19

Multiples list comparison intersects at the first common factor checkpoint: 24.

Answer: B (24)

Question 20

The number 29 maintains no distinct divisible integer parameters except 1 and 29.

Answer: C (29)

Question 21

Percentage calculations setup: (3 ÷ 5) × 100 = 60%.

Answer: C (60%)

Question 22

Subtract 2000 from 45 800: 45 800 - 2000 = 43 800.

Answer: A (43 800)

Question 23

Multiply current stamps capacity value: 62 × 3 = 186.

Answer: 186

Question 24

Volume tracking equation: Height = Volume ÷ (Length × Width) = 240 ÷ 40 = 6 cm.

Answer: 6

Question 25

Perimeter profile boundary details: 12 + 12 + Base = 30 -> 24 + Base = 30 -> Base = 6 cm.

Answer: 6

Question 26

15% discount yields 85% real value payment. Original value = 5100 ÷ 0.85 = 6000.

Answer: 6000

Question 27

• (a) Friday tracking values: 210 - (45 + 50 + 35 + 40) = 210 - 170 = 40.
• (b) Pie angle slice translation calculations: (50 ÷ 210) × 360° = 85.71°.

Answers: (a) 40 | (b) 85.71°

Question 28

• (a) Points tracking maps point R onto plane grid location (2, 5).
• (b) Area calculations layout formula: 0.5 × Base (3) × Height (4) = 6 unit squares.

Answers: (a) (2, 5) | (b) 6