Squares, Cubes & Roots of Fractions — Worksheet & Memo

∑ DANEMATHICS

FREE CAPS MATHS RESOURCES

Grade 8 · Common Fractions

Squares, Cubes & Roots of Fractions

EXAM-STYLE CLASS TEST

Marks

Duration

50 minutes

Questions

Name:

Class:

Date:

Mark

/ 33

Instructions and Information

Answer ALL the questions in this question paper.
Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
Show ALL calculations clearly.
Show all units where applicable.
Number the answers correctly according to the numbering system used in this question paper.
A non-programmable calculator may be used, unless stated otherwise.
Write neatly and legibly.

Question 1

[10 MARKS]

Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.

1.1
(23)² = …
(1)
A)43
B)49
C)29
D)69
1.2
2536 = …
(1)
A)518
B)56
C)256
D)125
1.3
827 = …
(1)
A)23
B)49
C)29
D)83
1.4
(113)² = …
(1)
A)119
B)179
C)223
D)123
1.5
Which one of the following is BIGGER than 14?
(1)
A)(14)²
B)14
C)(14)³
D)15
1.6
916 + (12)² = …
(1)
A)54
B)1
C)32
D)78
1.7
A square has an area of 49100 m². The length of one side is …
(1)
A)7100
B)710
C)4910
D)2450
1.8
Squaring a fraction between 0 and 1 makes it …
(1)
A)bigger
B)smaller
C)stay the same
D)negative
1.9
(35)² × 259 = …
(1)
A)1
B)35
C)925
D)53
1.10
Which one of the following equals 18?
(1)
A)(12)³
B)(14)²
C)14
D)(12)²

Answer grid — circle your answers for Question 1

1.1	A	B	C	D
1.2	A	B	C	D
1.3	A	B	C	D
1.4	A	B	C	D
1.5	A	B	C	D
1.6	A	B	C	D
1.7	A	B	C	D
1.8	A	B	C	D
1.9	A	B	C	D
1.10	A	B	C	D

Question 2

[11 MARKS]

Calculate the following WITHOUT using a calculator. Leave your answers in the simplest form.

2.1
12² + 23²
(4)
2.2
2536, and hence 827
(3)
2.3
4964 − 2764
(4)

Question 3

[12 MARKS]

Answer the questions below.

3.1
Calculate 113².
(3)
3.2
Nomsa writes 113² = 119. Explain her mistake, and calculate the correct answer.
(3)
3.3
A square has an area of 49100 m². Calculate the length of its side, and then its perimeter.
(4)
3.4
Explain why 14 is BIGGER than 14.
(2)

TOTAL: 33 marks

This question paper consists of 3 questions.