1
Overberg Education District
GRADE 8
TEST 3
MATHEMATICS
September 2014
MARKS: 50
TIME: 1 hour
2
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.
You may use a calculator unless stated differently.
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.
3
QUESTION 1
Show ALL calculations in this question.
1.1
Calculate and simplify. (NO calculators!)
2
1.1.1
+
3
1
6
(2)
1
1.1.2
45 x5
1.1.3
1
1.1.4
13+5 ÷
4
÷
2
(2)
1
(3)
20
3
9
(4)
8
3
1
1.2
How much is 2 4 less than 48 ?
1.3
Between which two whole numbers does -3 8 lie?
1.4
Arrange the following numbers in descending order.
(3)
7
1
3
2
; 5 ; 0,055 ; −0,055 ; −
2
3
; 0,25
1.5
The price of a box Smarties increased from R5 to R6.
Calculate the percentage increase.
1.6
Nina receives R100 pocket money per month. She spends
1
1
(2)
(3)
(3)
1
6
of her pocket money on
pens, 4 on sweets, and 3 on airtime. How much of her pocket money does she spend
altogether?
(3)
[25]
4
QUESTION 2
2.1
In die diagram below ∆ ABC is a right-angled triangle. AB = 15 cm and BC = 20 cm.
A
15 cm
B
20 cm
C
2.1.1 State the theorem of Pythagoras in words.
(2)
2.1.2 Calculate the length of AC. Give reason(s) for any statements you make.
(3)
2.1.3 Calculate the area of ∆ ABC
(3)
5
2.2
The diagram below shows a ladder leaning against a wall. The ladder reaches 12 m up the wall,
and the base of the ladder is 5 m from the wall.
12 m
5m
2.2
Calculate the length of the ladder.
2.3
Calculate the area of the shape below.
A
10 cm
(3)
B
7 cm
C
D
2 cm
F
E
15 cm
(4)
[15]
6
QUESTION 3
The table below shows the results of a survey conducted on the smoking habits of boys and girls.
Smoking habits
Never smoked
Stopped smoking
Smoke now and then
Smoke regularly
Number of boys
15
20
9
11
Number of girls
28
14
22
5
3.1
Calculate the percentage of boys that smoke often.
(3)
3.2
Draw a bar graph to show the smoking habits of girls.
(5)
3.3
The survey was conducted face to face.
Give a reason why the results might not be reliable.
(2)
[10]
TOTAL /50/