Algebra – numbers, operations and patterns (weergawe 2)
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 |
|---|---|
| 47 × 9 = 423 | |
| The HCF of 24 and 36 is 12 | |
| 0,65 = 13/20 | |
| All prime numbers are odd | |
| 38 472 rounded to the nearest 100 is 38 500 | |
| 25% or 720 = 190 |
Answer
1. True 2. True 3. True 4. False 5. True 6. False
Marking tip: 1 mark each.
QUESTION 2 • Short questions
[5]
2.1
Calculate: 680 + 420
(1)
Answer
1100
2.2
Calculate: 1500 − 835
(1)
Answer
665
2.3
Write 5/8 as a percentage.
(1)
Answer
62,5%
2.4
What is the place value of the 0 in 70 508?
(1)
Answer
Thousands
2.5
Write the largest number using the digits 8, 7, 5, 0.
(1)
Answer
8750
QUESTION 3 • Rounding and expanded notation
[4]
3.1
Round 38 472 off to the nearest 1 000.
(1)
Answer
38 000
3.2
Round 38 472 off to the nearest 100.
(1)
Answer
38 500
3.3
Write 70 508 in expanded notation.
(2)
Answer
70 000 + 500 + 8
Marking tip: 1 mark per step.
QUESTION 4 • Multiples and factors
[6]
4.1
Write down all the factors of 30.
(2)
Answer
1, 2, 3, 5, 6, 10, 15, 30
Marking tip: 1 mark each.
4.2
Write down the first 5 multiples of 7.
(2)
Answer
7, 14, 21, 28, 35
Marking tip: 1 mark each.
4.3
What is the LCM of 6 and 9?
(1)
Answer
18
4.4
What is the HCF of 24 and 36?
(1)
Answer
12
QUESTION 5 • Multiply and divide
[6]
5.1
Calculate 478 × 36 using long multiplication. Show all your working.
(3)
Answer
478 × 6 = 2 868; 478 × 30 = 14 340; 17 208
Marking tip: 1 mark per step.
5.2
Calculate 6 048 ÷ 28 using long division.
(3)
Answer
6 048 ÷ 28 = 216
Marking tip: 1 mark per step.
QUESTION 6 • Fractions, decimals and percentages
[10]
6.1
Calculate: 3/4 + 1/6
(2)
Answer
9/12 + 2/12 = 11/12
Marking tip: 1 mark per step.
6.2
Calculate: 7/8 − 1/3
(2)
Answer
21/24 − 8/24 = 13/24
Marking tip: 1 mark per step.
6.3
Write 0,65 as a common fraction in simplest form.
(2)
Answer
65/100 = 13/20
Marking tip: 1 mark per step.
6.4
Calculate: 4,7 + 15,26
(2)
Answer
19,96
Marking tip: 1 mark per step.
6.5
Calculate 25% of R720.
(2)
Answer
R180
Marking tip: 1 mark per step.
QUESTION 7 • Numeric patterns
[4]
7.1
Extend the pattern: 7 ; 15 ; 31 ; 63 ; ______ ; ______
(2)
Answer
127 ; 255
Marking tip: 1 mark per step.
7.2
What is the rule of the pattern 6 ; 11 ; 16 ; 21 ?
(2)
Answer
+ 5 (add 5 each time)
Marking tip: 1 mark per step.
QUESTION 8 • Ratio and rate
[6]
8.1
Write the ratio 18 : 30 in simplest form.
(1)
Answer
3 : 5
8.2
Divide R960 in the ratio 3 : 5.
(3)
Answer
3 + 5 = 8; 960 ÷ 8 = 120; R360 and R600
Marking tip: 1 mark per step.
8.3
A baker uses 4 cups of flour for 16 biscuits. How many cups for 24 biscuits?
(2)
Answer
16 ÷ 4 = 4; 24 ÷ 4 = 6
Marking tip: 1 mark per step.
QUESTION 9 • Problem solving
[3]
9.1
Karli buys a book for R92,75 and a pen for R35,4. She pays with a R200 note. How much change does she get?
(3)
Answer
92,75 + 35,4 = R128,15; 200 − 128,15 = R71,85
Marking tip: 1 mark per step.