Mixed Topic Worksheet Grades 4/5: Day 058
- 1
Question 1. Work out 2.3 × 4.6
Multiplying Decimals▶ Show worked answerHide worked answer
- M1: 23 × 46 (digits multiplied as whole numbers)
- M1: 1058 ÷ 100 (one decimal place in each factor)
- A1: 10.58
Answer: 10.58[3 marks] - 2
Question 2. The scatter graph shows the age and mass of 9 babies. Write down (a) the smallest age [1] (b) the greatest age. [1]
Danger of Extrapolation▶ Show worked answerHide worked answer
- (a) B1: 2 months
- (b) B1: 10 months
Answer: (a) 2 months; (b) 10 months[2 marks] - 3
Question 3. A journey takes 3 hours at an average speed of 50 mph.
Work out the time the same journey takes at an average speed of 75 mph.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 3 × 50 (distance in miles)
- A1: 2 hours
Answer: 2 hours[2 marks] - 4
Question 4. The diagram shows an equilateral triangle with sides of length 8 cm.
Work out the height h of the triangle.
Use trigonometry.
Give your answer to 1 decimal place.Finding the Height of an Equilateral Triangle▶ Show worked answerHide worked answer
- M1: h = 8 × sin 60°
- A1: 6.9
Answer: 6.9 cm[2 marks] - 5
Question 5. Triangle DEF and triangle GHJ are similar.
Work out the length of HJ.Similar Side Lengths▶ Show worked answerHide worked answer
- M1: 12 ÷ 20 = 0.6 and 0.6 × 10
- A1: 6
Answer: 6 cm[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 058
- 1
Question 1. Work out 2.3 × 4.6
[3 marks]Multiplying Decimals▶ Show worked answerHide worked answer
- M1: 23 × 46 (digits multiplied as whole numbers)
- M1: 1058 ÷ 100 (one decimal place in each factor)
- A1: 10.58
Answer: 10.58 - 2
Question 2. The scatter graph shows the age and mass of 9 babies. Write down (a) the smallest age [1] (b) the greatest age. [1]
[2 marks]Danger of Extrapolation▶ Show worked answerHide worked answer
- (a) B1: 2 months
- (b) B1: 10 months
Answer: (a) 2 months; (b) 10 months - 3
Question 3. A journey takes 3 hours at an average speed of 50 mph.
[2 marks]
Work out the time the same journey takes at an average speed of 75 mph.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 3 × 50 (distance in miles)
- A1: 2 hours
Answer: 2 hours - 4
Question 4. The diagram shows an equilateral triangle with sides of length 8 cm.
[2 marks]
Work out the height h of the triangle.
Use trigonometry.
Give your answer to 1 decimal place.Finding the Height of an Equilateral Triangle▶ Show worked answerHide worked answer
- M1: h = 8 × sin 60°
- A1: 6.9
Answer: 6.9 cm - 5
Question 5. Triangle DEF and triangle GHJ are similar.
[2 marks]
Work out the length of HJ.Similar Side Lengths▶ Show worked answerHide worked answer
- M1: 12 ÷ 20 = 0.6 and 0.6 × 10
- A1: 6
Answer: 6 cm
Mixed Topic Worksheet Grades 4/5: Day 058
- 1
Question 1. Work out 2.3 × 4.6
Multiplying Decimals▶ Show worked answerHide worked answer
- M1: 23 × 46 (digits multiplied as whole numbers)
- M1: 1058 ÷ 100 (one decimal place in each factor)
- A1: 10.58
Answer: 10.58[3 marks] - 2
Question 2. The scatter graph shows the age and mass of 9 babies. Write down (a) the smallest age [1] (b) the greatest age. [1]
Danger of Extrapolation▶ Show worked answerHide worked answer
- (a) B1: 2 months
- (b) B1: 10 months
Answer: (a) 2 months; (b) 10 months[2 marks] - 3
Question 3. A journey takes 3 hours at an average speed of 50 mph.
Work out the time the same journey takes at an average speed of 75 mph.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 3 × 50 (distance in miles)
- A1: 2 hours
Answer: 2 hours[2 marks] - 4
Question 4. The diagram shows an equilateral triangle with sides of length 8 cm.
Work out the height h of the triangle.
Use trigonometry.
Give your answer to 1 decimal place.Finding the Height of an Equilateral Triangle▶ Show worked answerHide worked answer
- M1: h = 8 × sin 60°
- A1: 6.9
Answer: 6.9 cm[2 marks] - 5
Question 5. Triangle DEF and triangle GHJ are similar.
Work out the length of HJ.Similar Side Lengths▶ Show worked answerHide worked answer
- M1: 12 ÷ 20 = 0.6 and 0.6 × 10
- A1: 6
Answer: 6 cm[2 marks]