Mathematics gr 8 Test/Assignment T1
edwardsmaths 2022
Grade 8 Mathematics
Test/Assignment
Term 1-2022
Examiner:
Moderator:
Total: 50
Time: 60 min
This paper consists of 3 pages.
INSTRUCTIONS AND INFORMATION
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Read the following instructions carefully before answering the questions.
This question paper consists of 3 questions.
Answer ALL the questions.
Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in determining your
answers.
Answers only will NOT necessarily be awarded full marks.
You may not use an approved scientific calculator (non-programmable and non-graphical), unless
stated otherwise.
If necessary, round off answers to TWO decimal places, unless stated otherwise.
Diagrams are NOT necessarily drawn to scale.
Number the answers correctly according to the numbering system used in this question paper.
Write neatly and legibly.
Question 1
1.1
Write down:
1.1.1
the factors of 18.
(1)
1.1.2
the prime factors of 18 .
(1)
1.1.3
the multiples of 18 smaller than 90 .
(1)
1.1.4
the composite numbers smaller than 18.
(1)
1.1.5
the prime numbers smaller than 18 .
(1)
1.2
A farmer wants to divide 8085 ha of grazing into 9 or 15 camps of equal size. How did he
know, without doing a division calculation, that the 15 camp division is an easier practical
solution than the 9 camp division?
(3)
p. 1 of 3
Mathematics gr 8 Test/Assignment T1
edwardsmaths 2022
1.3
Determine, by inspection, which of the following products are multiples of 30.
1.3.1
22 × 3 × 5
1.3.2
2 × 32 × 5
1.3.3
22 × 53
1.3.4
23 × 32 × 52
1.4
Calculate:
1.4.1
the LCM of 5 and 20
1.4.2
the HCF of 22 × 3 and 2 × 33
1.4.3
√3 × 33 × 25
(2)
1.4.4
0 ÷ (27 + 3)2
(1)
1.4.5
√202 − 122
(2)
(4)
(1)
(1)
[19]
Question 2.
(ALL CALCULATIONS MUST BE DONE WITHOUT USING A CALCULATOR)
2.1.1
Increase R68 in the ratio 7:4
(2)
2.1.2
Decrease 91𝑥 in the ratio 5: 7.
(2)
2.1.3
Divide 182𝑘𝑔 in the ratio 2: 3: 8.
(3)
2.2
A farmer can exchange 72 pigs for 54 sheep at R560 each. What is the price of a pig?
(2)
2.3
The ratio of the number of boys to the number of girls in a class is 4 : 3.
2.3.1
Calculate how many boys there are in the class if there are 42 pupils in the class.
2.3.2
Calculate how many pupils there are in the class if there are 21 girls.
(2)
(3)
[14]
p. 2 of 3
Mathematics gr 8 Test/Assignment T1
edwardsmaths 2022
Question 3
3.1.1
𝐴𝑑𝑑 𝑡ℎ𝑒 𝑎𝑑𝑑𝑖𝑡𝑖𝑣𝑒 𝑖𝑛𝑣𝑒𝑟𝑠𝑒 𝑜𝑓 5 𝑡𝑜 𝑡ℎ𝑒 𝑝𝑟𝑜𝑑𝑢𝑐𝑡 𝑜𝑓 − 1 𝑎𝑛𝑑 − 4.
3.1.2
𝑆𝑢𝑏𝑡𝑟𝑎𝑐𝑡 𝑡ℎ𝑒 𝑝𝑟𝑜𝑑𝑢𝑐𝑡 𝑜𝑓 − 4 𝑎𝑛𝑑 3 𝑓𝑟𝑜𝑚 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 − 4 𝑎𝑛𝑑 3 .
2
(1)
(1)
(1)
3.1.3
𝐹𝑟𝑜𝑚 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 5, −6 𝑎𝑛𝑑 − 4 𝑠𝑢𝑏𝑡𝑟𝑎𝑐𝑡 − (−3) .
3.2
Calculate:
3.2.1
−(−1)3 − (−2)2
(2)
3.2.2
−3 + 3(−5) + 5(−1)2
(2)
3.2.3
−8 ÷ √−8
3.2.4
−12(−1)2 − 33
(2)
3.2.5
−√(11)(12) + (−11)
(2)
3.3
The following temperatures were measured in 5 cities on 01/01/2022.
(2)
3
Maximum °𝐶
Minimum °𝐶
Cape Town
26
6
Pretoria
28
11
Moscow
−5
−20
New York
1
−10
3.3.1
What is the difference between the highest and lowest temperatures listed?
3.3.2
At midday, the temperature in New York was 1°𝐶. Thereafter it decreased by 2°𝐶 per
hour. What was the temperature at 17:00?
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(2)
(2)
[17]