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Grade 6 Maths: Decimal fractions worksheet

A CAPS Grade 6 Maths worksheet on decimal fractions (Fractions and decimals). 16 questions in three sections that rise in difficulty, 34 marks in all.

CAPS Grade 6MathsFractions and decimals16 questions · 34 marksMemo includedFree
Grade 6 · Maths
Decimal fractions

Fractions and decimals · CAPS Grade 6

/ 34

AWarm-up8 marks

Answer the questions.

1

Write the shaded part of the bar as a fraction and as a decimal.

Answer
(2)
2

In the number 5,34, what is the value of the digit 3?

A3
B0,3
C0,03
D30
(1)
3

0,5 is the same as 12.

TrueFalse
(1)
4

Write each fraction as a decimal.

310 = and 45100 = and 1 710 =

(3)
5

Which decimal is the biggest?

A0,08
B0,7
C0,75
D0,8
(1)

BCore18 marks

Work out the answers. Show your working where there is space.

6

Write these decimals in order, from the smallest to the biggest.

3,5
3,45
3,4
3,05
(2)
7

What decimal does the dot show on the number line?

0,20,250,3
Answer
(1)
8

Complete the table. Round each number.

NumberNearest whole number1 decimal place
6,48
12,95
0,76
(3)
9

Calculate 14,75 + 8,6.

Working
Answer
(2)
10

Calculate 20,5 − 7,85.

Working
Answer
(2)
11

Palesa buys a pen for R8,75, a ruler for R12,50 and a book for R23,90. How much does she spend? How much change does she get from R50?

Working
Answer
(3)
12

A loaf of bread costs R16,95. How much do 4 loaves cost?

Working
Answer
(2)
13

Multiply or divide.

2,35 × 10 = and 2,35 × 100 = and 45,6 ÷ 10 =

(3)

CChallenge8 marks

Think carefully. Show your working.

14

Lerato ran 100 m in 14,28 seconds. Nomsa ran it in 13,9 seconds and Karabo in 14,05 seconds. Who was the fastest? How much faster was she than the slowest runner?

Working
Answer
(3)
15

Sipho says that 0,6 is smaller than 0,45 because 6 is smaller than 45. Is he right? Explain.

(2)
16

A tank holds 12,5 litres of water. Mpho uses 3,75 litres in the morning and 4,5 litres in the afternoon. How much water is left in the tank?

Working
Answer
(3)

Total 34 marks

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Memo (answers and marks)
Grade 6 · Maths
Decimal fractions Memo

Fractions and decimals · CAPS Grade 6 · 34 marks

AWarm-up8 marks

QAnswerMarks
1710 = 0,71 mark for 710 and 1 mark for 0,7.2
2B. 0,31
3True1
4310 = 0,3 and 45100 = 0,45 and 1 710 = 1,73
5D. 0,81

BCore18 marks

QAnswerMarks
6
  1. 3,05
  2. 3,4
  3. 3,45
  4. 3,5
2
70,271
8
NumberNearest whole number1 decimal place
6,4866,5
12,951313,0
0,7610,8
3
923,35Line up the decimal commas: 14,75 + 8,60 = 23,35. 1 mark for the method, 1 mark for the answer.2
1012,65Line up the decimal commas: 20,50 − 7,85 = 12,65. 1 mark for the method, 1 mark for the answer.2
11She spends R45,15 and gets R4,85 change.8,75 + 12,50 + 23,90 = 45,15 (2 marks). 50,00 − 45,15 = 4,85 (1 mark).3
12R67,8016,95 × 4 = 67,80. 1 mark for the method, 1 mark for the answer with the rand sign.2
132,35 × 10 = 23,5 and 2,35 × 100 = 235 and 45,6 ÷ 10 = 4,563

CChallenge8 marks

QAnswerMarks
14Nomsa was the fastest. She was 0,38 seconds faster than Lerato.Nomsa, 13,9 s (1 mark). Slowest is Lerato, 14,28 s (1 mark). 14,28 − 13,90 = 0,38 seconds (1 mark).3
15No. 0,6 = 0,60 and 60 hundredths is more than 45 hundredths, so 0,6 is bigger than 0,45.1 mark for no. 1 mark for a reason: write 0,6 as 0,60 or compare the tenths (6 tenths is more than 4 tenths).2
164,25 litres3,75 + 4,50 = 8,25 litres used (1 mark). 12,50 − 8,25 = 4,25 litres (1 mark). Answer with the unit (1 mark).3

Total 34 marks

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