Algebra – numbers, operations and patterns
Mathematics • Grade 6
Total50 marks
Time60 minutes
Questions26
Name:
Class: Date:
Instructions
- Read all the questions carefully before you begin writing.
- Answer all the questions on the question paper itself.
- Show all your working where the question asks for it.
- Write neatly. Work that cannot be read cannot be marked.
- You may use a pencil and a ruler for drawings.
- Calculators are not allowed.
Sit down with pen and paper. Work through the whole paper before you show the answers — that is how a real test feels.
The answers are right at the bottom of the page.
QUESTION 1 • True or false
[6]
1.1
State whether each statement is TRUE or FALSE.
(6)
| Statement | True / False |
|---|---|
| 7 × 8 = 54 | |
| The HCF of 8 and 12 is 4 | |
| 0,5 = ½ | |
| All prime numbers are odd | |
| 3 465 rounded to the nearest 100 is 3 500 | |
| 25% of 80 is 25 |
Answer
1. False 2. True 3. True 4. False 5. True 6. False
Marking tip: 1 mark each.
QUESTION 2 • Short questions
[5]
2.1
Write the largest number that can be made with the digits 4, 7, 1 and 9.
(1)
Answer
9 741
2.2
What is the place value of the 6 in 46 208?
(1)
Answer
Thousands
2.3
Calculate: 450 + 380
(1)
Answer
830
2.4
Calculate: 1 200 − 675
(1)
Answer
525
2.5
Write ¾ as a percentage.
(1)
Answer
75%
QUESTION 3 • Rounding and expanded notation
[4]
3.1
Round 27 486 off to the nearest 1 000.
(1)
Answer
27 000
3.2
Round 27 486 off to the nearest 100.
(1)
Answer
27 500
3.3
Write 60 403 in expanded notation.
(2)
Answer
60 000 + 400 + 3
Marking tip: 1 mark per step.
QUESTION 4 • Multiples and factors
[6]
4.1
Write down all the factors of 24.
(2)
Answer
1, 2, 3, 4, 6, 8, 12, 24
Marking tip: 1 mark per step.
4.2
Write down the first five multiples of 6.
(2)
Answer
6, 12, 18, 24, 30
Marking tip: 1 mark per step.
4.3
What is the LCM of 4 and 6?
(1)
Answer
12
4.4
What is the HCF of 18 and 27?
(1)
Answer
9
QUESTION 5 • Multiply and divide
[6]
5.1
Calculate 346 × 27 using long multiplication. Show all your working.
(3)
Answer
346 × 7 = 2 422; 346 × 20 = 6 920; total = 9 342
Marking tip: 1 mark per step.
5.2
Calculate 5 184 ÷ 24 using long division.
(3)
Answer
5 184 ÷ 24 = 216
Marking tip: 1 mark per step.
QUESTION 6 • Fractions, decimals and percentages
[10]
6.1
Calculate: ⅔ + ⅛
(2)
Answer
16/24 + 3/24 = 19/24
Marking tip: 1 mark per step.
6.2
Calculate: ⅞ − ¼
(2)
Answer
5/8 − 2/8 = 3/8
Marking tip: 1 mark per step.
6.3
Write 0,45 as a common fraction in simplest form.
(2)
Answer
45/100 = 9/20
Marking tip: 1 mark per step.
6.4
Calculate: 3,6 + 12,85
(2)
Answer
16,45
Marking tip: 1 mark per step.
6.5
Calculate 15% of R640.
(2)
Answer
R96
Marking tip: 1 mark per step.
QUESTION 7 • Numeric patterns
[4]
7.1
Extend the pattern: 5 ; 11 ; 23 ; 47 ; ______ ; ______
(2)
Answer
95 ; 191. The rule is × 2 + 1.
Marking tip: 1 mark per step.
7.2
What is the rule of the pattern 4 ; 9 ; 14 ; 19 ?
(2)
Answer
+ 5 (add 5 each time)
Marking tip: 1 mark per step.
QUESTION 8 • Ratio and rate
[6]
8.1
Write the ratio 15 : 25 in simplest form.
(1)
Answer
3 : 5
8.2
Divide R840 in the ratio 2 : 5.
(3)
Answer
2 + 5 = 7 parts; 840 ÷ 7 = 120; R240 and R600
Marking tip: 1 mark per step.
8.3
A baker uses 3 cups of flour for 12 biscuits. How many cups for 20 biscuits?
(2)
Answer
12 ÷ 3 = 4 biscuits per cup; 20 ÷ 4 = 5 cups
Marking tip: 1 mark per step.
QUESTION 9 • Problem solving
[3]
9.1
Karli buys a book for R85,50 and a pen for R24,75. She pays with a R200 note. How much change does she get?
(3)
Answer
85,50 + 24,75 = R110,25; 200 − 110,25 = R89,75
Marking tip: 1 mark per step.