GRADE: 8
SUBJECT: MATHEMATICS
TERM THREE
FORMAL ASSESSMENT TASK – CONTROLLED TEST
Name: _______________________________________________________
Class: ___________________________ Date: ______________________
School: __________________________ Teacher:___________________
FAT
Activity/Form
3.2
TEST
TOTAL
Learner’s
mark
50
Learner’s %
Question 1
1.1
Calculate the following without the use of a calculator. You need to show all
calculations. Leave your answers in its simplest form.
1.1.1 18,01 × 1000
1
(1)
1
1.1.2 3 (3 + 5)
1
1.1.3 √64 − (√9)
(2)
2
(3)
1
2
1
1.1.4
(3)
−3
1.2
Write down the values of the marked points (A, B and C) in decimal form. (3)
[12]
Question 2
Study the flow diagram below and answer the following questions:
-5
15
9
-3
3
-1
-3
1
2.1
Find the rule that describes the function.
(1)
2.2
If the output value of the above function is − 27 , determine the input value.
(2)
2.3
Write down the range of this function.
(2)
1
[5]
Question 3
The following set of data is a record of the number of days it took to sell a specific range of
toys.
18
3.1
3.2
3.3
3.4
3.5
3.6
26
25
19
17
7
22
21
20
19
Arrange the data in ascending order
Find the mean of the data.
Find the mode.
Find the median.
What is the range?
What is the frequency of the mode
(1)
(2)
(1)
(2)
(2)
(1)
[9]
Question 4
4.1
Use the theorem of Pythagoras in the diagram below and complete the following :
𝑐
𝑏 2 = ...............................
B
A
𝑎
𝑏
C
(1)
A
4.2
Use the accompanying figure to calculate:
4.2.1
𝑎
(3)
4.2.2
𝑏
(4)
8cm
B
10𝑐𝑚
𝑎
D
𝑏
9cm
[8]
C
Question 5
Formulas:
𝐴=𝑙×𝑏
1
𝐴 = 𝑏ℎ
2
𝐴 = 𝜋𝑟 2
𝐶 = 2𝜋𝑟
𝑃 = 2𝑙 + 2𝑏
𝑃 = 𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑖𝑑𝑒𝑠
𝑆𝐴 = 2𝜋𝑟 2 + 2𝜋𝑟ℎ
𝑆𝐴 = 2𝑙𝑏 + 2𝑏ℎ + 2𝑙ℎ
𝑉 = 𝜋𝑟 2 𝐻
𝑉 =𝑙×𝑏×ℎ
5.1
𝑉=
1
𝑏ℎ × 𝐻
2
Find the perimeter of the following figures below:
5.1.2
Radius =28mm
9 cm
5.1.1
(2)
5.2
(3)
Find the area of the shaded region for the following shape which is made up of a
rectangle and a triangle:
2cm
3cm
6cm
(5)
5.3
The measurement of a condensed milk can are given in the diagram alongside:
5.3.1 Calculate the volume of the can.
(3)
5.3.2 Determine the surface area of the metal
used to manufacture the can .
(3)
8cm
Full cream
condensed
milk
12cm
[16]
TOTAL: 50