This document contains the answers to a practice paper with sections on mathematics, word problems, and multi-step calculations. Section A contains 20 multiple choice questions with the answers provided. Section B has 32 two-mark questions showing work. Section C consists of 5 four-mark multi-part word problems covering topics like number of days to sell items, calculating costs, and finding total sums. The document provides the full worked out steps and solutions for all questions on the practice paper.
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2. 31 $1.50 + $1 = $2.50
$2.50 x 10 = $25
$40 - $25 = $15
32 5 1 10 1 11
+ = + =
8 16 16 16 16
16 11 5
- =
16 16 16
33 One line parallel to AB
34
= 432 =4
÷ = 432 ÷ 4 = 108
35 Isaac: $120 x 2 = $240
$240 + $120 = $360
1
of $360 = $360 ÷ 2 = $180
2
36 2620 m + 2448 m = 5068m
2153 m + 2766 m = 4919m = 4 km 919 m
37 4.45p.m. --- 5.45p.m. (1 hr)
5.45 p.m. --- 6.15p.m. (30 min)
1 hr + 30 min = 1 h 30 min
38 4250 mℓ x 2 = 8500 mℓ
1340 mℓ x 2 = 2680 mℓ
8500 mℓ + 2680 mℓ = 11180 mℓ
11180 mℓ = 11 ℓ 180 mℓ
39 7cm x 7cm = 49 cm²
49 cm² x 3 = 147 cm²
or
49 cm² ÷ 2 = 24.5 cm²
49 cm² + 49 cm² + 24.5 cm² + 24.5 cm² = 147 cm²
40 1 kg = $12 g
500g = $12 ÷ 2= $6
$12 x 6 = $72
6 kg 500g : $72 + $6 = $78
$100 - $78 = $22
2
3. Section C (5 x 4 marks = 20 marks)
41.
(a) 8 x 16 = 128
208 – 128 = 80
80 watches are left after 16 days.
(b) 80 ÷ 8 = 10
or
10 x 8 = 80
It will take him 10 days to sell the remaining watches.
42. 1 chocolate cake: 4 kg ÷ 2 = 2 kg
3 chocolate cake: 2 kg x 3 = 6 kg
4 chocolate cake: 2 kg x 4 = 8 kg
2 apple pies:
8 kg 500 g – 6 kg = 8500 g – 6000 g
= 2500 g
1 apple pie:
2500 g ÷ 2 = 1250 g or 1 kg 250 g
4 chocolate cakes and 1 apple pie:
8 kg + 1 kg 250 g = 9 kg 250 g
3
4. 43.
(a) 224 ÷ 7 = 32
He got 32 packets of sweet.
(b) 32 – 24 = 8
8 packets of sweets were left.
8 x 7 = 56
8 1
=
32 4
1
of the packets of sweets was left.
4
44.
150 m x 3 m = 450 m²
450 m² ÷ 50 = 9
9 x $54 = $486
It would cost Mr Lee $486 to paint the wall.
45.
Kate
?
Paul
Tom
Paul: $100 + $128 = $228
Tom: $228 + $100 = $328
$328 x 2 = $656
$100 + $228 + $656 = $984
The total sum is $984.
4