Mixed Topic Worksheet Grades 4/5: Day 031
- 1
Question 1. Sam rounds 0.03482 to 2 significant figures.
He writes 0.03.
Sam is wrong.
Write down the correct answer.Rounding to Significant Figures▶ Show worked answerHide worked answer
- M1: the first significant figure is 3 and the second is 4
- A1: 0.035
Answer: 0.035[2 marks] - 2
Question 2. The diagram shows a trapezium.
Work out the perimeter of the trapezium.Perimeter of Trapeziums▶ Show worked answerHide worked answer
- M1: 11 + 4 + 6 + 3
- A1: 24
Answer: 24 cm[2 marks] - 3
Question 3. 8 machines take 7.5 hours to complete an order.
All the machines work at the same rate.
Work out the time 10 machines take to complete the order.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 8 × 7.5 (machine-hours for the order)
- A1: 6 hours
Answer: 6 hours[2 marks] - 4
Question 4. Event A and event B are independent.
The probability of event A is 0.5
The probability that both A and B happen is 0.2
Work out the probability of event B.Independence▶ Show worked answerHide worked answer
- M1: 0.2 ÷ 0.5
- A1: 0.4
Answer: 0.4[2 marks] - 5
Question 5. A is the point (1, 2).
B is the point (9, 8).
Work out the distance between A and B.Distance Between Two Points▶ Show worked answerHide worked answer
- M1: (9 - 1)² + (8 - 2)²
- M1: √8² + 6² = √100
- A1: 10
Answer: 10[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 031
- 1
Question 1. Sam rounds 0.03482 to 2 significant figures.
[2 marks]
He writes 0.03.
Sam is wrong.
Write down the correct answer.Rounding to Significant Figures▶ Show worked answerHide worked answer
- M1: the first significant figure is 3 and the second is 4
- A1: 0.035
Answer: 0.035 - 2
Question 2. The diagram shows a trapezium.
[2 marks]
Work out the perimeter of the trapezium.Perimeter of Trapeziums▶ Show worked answerHide worked answer
- M1: 11 + 4 + 6 + 3
- A1: 24
Answer: 24 cm - 3
Question 3. 8 machines take 7.5 hours to complete an order.
[2 marks]
All the machines work at the same rate.
Work out the time 10 machines take to complete the order.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 8 × 7.5 (machine-hours for the order)
- A1: 6 hours
Answer: 6 hours - 4
Question 4. Event A and event B are independent.
[2 marks]
The probability of event A is 0.5
The probability that both A and B happen is 0.2
Work out the probability of event B.Independence▶ Show worked answerHide worked answer
- M1: 0.2 ÷ 0.5
- A1: 0.4
Answer: 0.4 - 5
Question 5. A is the point (1, 2).
[3 marks]
B is the point (9, 8).
Work out the distance between A and B.Distance Between Two Points▶ Show worked answerHide worked answer
- M1: (9 - 1)² + (8 - 2)²
- M1: √8² + 6² = √100
- A1: 10
Answer: 10
Mixed Topic Worksheet Grades 4/5: Day 031
- 1
Question 1. Sam rounds 0.03482 to 2 significant figures.
He writes 0.03.
Sam is wrong.
Write down the correct answer.Rounding to Significant Figures▶ Show worked answerHide worked answer
- M1: the first significant figure is 3 and the second is 4
- A1: 0.035
Answer: 0.035[2 marks] - 2
Question 2. The diagram shows a trapezium.
Work out the perimeter of the trapezium.Perimeter of Trapeziums▶ Show worked answerHide worked answer
- M1: 11 + 4 + 6 + 3
- A1: 24
Answer: 24 cm[2 marks] - 3
Question 3. 8 machines take 7.5 hours to complete an order.
All the machines work at the same rate.
Work out the time 10 machines take to complete the order.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 8 × 7.5 (machine-hours for the order)
- A1: 6 hours
Answer: 6 hours[2 marks] - 4
Question 4. Event A and event B are independent.
The probability of event A is 0.5
The probability that both A and B happen is 0.2
Work out the probability of event B.Independence▶ Show worked answerHide worked answer
- M1: 0.2 ÷ 0.5
- A1: 0.4
Answer: 0.4[2 marks] - 5
Question 5. A is the point (1, 2).
B is the point (9, 8).
Work out the distance between A and B.Distance Between Two Points▶ Show worked answerHide worked answer
- M1: (9 - 1)² + (8 - 2)²
- M1: √8² + 6² = √100
- A1: 10
Answer: 10[3 marks]