Order of Operations: Getting BODMAS Right — Worksheet & Memo

∑ DANEMATHICS

FREE CAPS MATHS RESOURCES

Grade 8 · Number & Integers

Order of Operations: Getting BODMAS Right

EXAM-STYLE CLASS TEST

Marks

Duration

50 minutes

Questions

Name:

Class:

Date:

Mark

/ 32

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
Calculate: 5 + 3 × 4
(1)
A)32
B)17
C)12
D)20
1.2
Calculate: 20 − 8 ÷ 2
(1)
A)6
B)16
C)12
D)4
1.3
Calculate: (6 + 2)² ÷ 4
(1)
A)10
B)16
C)34
D)20
1.4
Calculate: 4² − 6 ÷ (−2)
(1)
A)19
B)13
C)−5
D)11
1.5
In BODMAS, which pair is worked from LEFT TO RIGHT as they appear?
(1)
A)brackets and orders
B)division and multiplication
C)orders and addition
D)addition and brackets
1.6
Calculate: 18 ÷ (3 + 6) × 2
(1)
A)1
B)4
C)12
D)9
1.7
Calculate: 3 + 2 × (8 − 5)²
(1)
A)21
B)45
C)27
D)81
1.8
Which one of the following equals 10?
(1)
A)2 + 4 × 2
B)(2 + 4) × 2
C)2 × 4 − 2
D)20 − 4 × 2
1.9
A learner writes 12 − 4 + 3 = 5. The mistake is that they …
(1)
A)should have multiplied
B)did the ADDITION before the subtraction
C)should have used brackets
D)subtracted twice
1.10
Calculate: 36 + 2 × 3²
(1)
A)24
B)72
C)144
D)30

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. Show the order in which you worked.

2.1
3² + 4 × 2 − 5
(3)
2.2
50 − 2(3 + 4)²
(4)
2.3
18 − 3 × 42² − 1
(4)

Question 3

[11 MARKS]

Answer the questions below.

3.1
Calculate: −6 + 3(−4) − 3(4)(2 + 3)(−3)
(4)
3.2
Insert brackets to make each statement true:
(a) 4 + 6 ÷ 2 = 5 (b) 3 × 2 + 5 = 21
(4)
3.3
Two learners calculate 2 + 3 × 4. Thabo gets 20 and Naledi gets 14. State who is correct and explain the other's mistake.
(3)

TOTAL: 32 marks

This question paper consists of 3 questions.