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Overberg Education District
GRADE 8
SBA TASK 1: ASSIGNMENT 1
MATHEMATICS
February 2014
MARKS: 65
TIME: 2 periods
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INSTRUCTIONS AND INFORMATION
1.
Answer all the questions on folio paper and number your answers according to the
numbering system in the question paper.
2.
Do NOT use a calculator.
3.
Show ALL calculations clearly.
4.
Round off ALL answer to TWO decimal places unless stated differently.
5.
Show all units where applicable.
6.
Write neatly and legibly.
7.
Leave a line open between each sum.
QUESTION 1
1. Use the calendar of February 2014 above and answer the questions that follow:
1.1
1.2
1.3
1.4
1.5
What is the date of the third Sunday in February?
(1)
List all the prime numbers in the calendar.
(3)
List all the square numbers in the calendar.
(2)
List the factors of 28 in the calendar.
(2)
Name ONE property of the numbers that we see on Fridays in the calendar of
February 2014?
(1)
3
2. The product of two numbers is 342. If one of the numbers is 18, work out the
value of the other number without using your calculator. Show all your steps.
(3)
3. Write 1764 as a product of its prime factors. Show all your steps.
(3)
4. If 210 = 1024, calculate without your calculator, √1024. Show all your steps.
(3)
5. Without using your calculator, determine the value of:
5.1
5.2
175 − 21 ÷ 7 + (3 + 2 × 2)
16% of R 345
(3)
(3)
6. Find the following
6.1
6.2
The HCF (Highest Common Factor) of 18 and 20.
The LCM (Lowest Common Multiple) of 18 and 20
(1)
(2)
7. Sam has eight (8) shells and Thandeka has 12 shells. What is the ratio, in simplest
form, of Sam’s shells to Thandeka shells?
(2)
8. Calculate the following:
8.1
8.2
A motor travels a distance of 340 km at an average speed of
85km/h. How long does it take the motor vehicle to cover the distance? (3)
The vehicle’s petrol tank has a capacity of 40 litre. Will the vehicle be
able to cover the full distance of 340 km with one petrol tank if the petrol
usage is 14 km/h? Show all your steps.
(3)
9. Replace the □ with either < sign or > or = sign:
210 000 □ 13 million
(1)
10. Calculate:
10.1
10.2
-52 +16
314 – (-25) + 1 – 29
(1)
(2)
11. Simplify the following by using the exponent laws (where applicable, leave answers
in exponential form):
11.1
11.2
11.3
11.4
11.5
23 × 25
37 ÷ 33
(2𝑦 3 )3
√34
3
√23
(1)
(1)
(2)
(2)
(2)
4
12. Replace □ with a < sign or > or = sign:
12.1
12.2
102 □ 92
(−3)0 □ 30
(1)
(1)
13. Simplify (Leave answers in exponential form where necessary):
13.1
13.2
13.3
(𝑛 × 𝑛3 )3
(3)
2
(𝑛2 × 𝑛3)
52 × 53
(2)
32 × 30
3
√−27 + (5 − 2)2
(3)
1
13.4
√2
13.5
The circumference if the earth is 40 075,16 km. Write this number in
Scientific Notation.
(2)
4
(2)
14. Correct the following calculation:
√36 + 64) + (6 − 4)2 = 10 + (36 – 16) ÷ 4
= 10 + 5
= 15
(2)
15. You enlarge a photo on your computer screen. In the beginning breadth of the photo is
5 cm. Every time you enlarge the photo, the breadth doubles. You enlarge the photo
three (3) times. What is the final breadth of the photo on your computer screen? (2)
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