Mixed Topic Worksheet Grades 4/5: Day 030
- 1
Question 1. The diagram shows a semicircle with a radius of 7 cm.
Work out the area of the semicircle.
Give your answer to 1 decimal place.Area of a Semicircle▶ Show worked answerHide worked answer
- M1: 1/2 × π × 7²
- A1: 77.0
Answer: 77.0 cm²[2 marks] - 2
Question 2. A line of best fit has equation y = 3x + 4.
Use the equation to estimate the value of y when x = 6.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 3 × 6
- A1: 22
Answer: 22[2 marks] - 3
Question 3. Marc takes part in two races.
The tree diagram shows the probabilities that he finishes in the top three.
Work out the probability that Marc finishes in the top three in at most one of the two races.Fundamentals of Tree Diagrams▶ Show worked answerHide worked answer
- M1: 0.7 × 0.4
- M1: 1 - 0.28
- A1: 0.72
Answer: 0.72[3 marks] - 4
Question 4. The diagram shows an equilateral triangle with sides of length 5.5 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 = 5.5 × sin 60°
- A1: 4.8
Answer: 4.8 cm[2 marks] - 5
Question 5. The exchange rate is £1 = €1.15
Complete the statement.
£square = €138Currency Conversions▶ Show worked answerHide worked answer
- M1: 138 ÷ 1.15
- A1: 120
Answer: 120[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 030
- 1
Question 1. The diagram shows a semicircle with a radius of 7 cm.
[2 marks]
Work out the area of the semicircle.
Give your answer to 1 decimal place.Area of a Semicircle▶ Show worked answerHide worked answer
- M1: 1/2 × π × 7²
- A1: 77.0
Answer: 77.0 cm² - 2
Question 2. A line of best fit has equation y = 3x + 4.
[2 marks]
Use the equation to estimate the value of y when x = 6.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 3 × 6
- A1: 22
Answer: 22 - 3
Question 3. Marc takes part in two races.
[3 marks]
The tree diagram shows the probabilities that he finishes in the top three.
Work out the probability that Marc finishes in the top three in at most one of the two races.Fundamentals of Tree Diagrams▶ Show worked answerHide worked answer
- M1: 0.7 × 0.4
- M1: 1 - 0.28
- A1: 0.72
Answer: 0.72 - 4
Question 4. The diagram shows an equilateral triangle with sides of length 5.5 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 = 5.5 × sin 60°
- A1: 4.8
Answer: 4.8 cm - 5
Question 5. The exchange rate is £1 = €1.15
[2 marks]
Complete the statement.
£square = €138Currency Conversions▶ Show worked answerHide worked answer
- M1: 138 ÷ 1.15
- A1: 120
Answer: 120
Mixed Topic Worksheet Grades 4/5: Day 030
- 1
Question 1. The diagram shows a semicircle with a radius of 7 cm.
Work out the area of the semicircle.
Give your answer to 1 decimal place.Area of a Semicircle▶ Show worked answerHide worked answer
- M1: 1/2 × π × 7²
- A1: 77.0
Answer: 77.0 cm²[2 marks] - 2
Question 2. A line of best fit has equation y = 3x + 4.
Use the equation to estimate the value of y when x = 6.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 3 × 6
- A1: 22
Answer: 22[2 marks] - 3
Question 3. Marc takes part in two races.
The tree diagram shows the probabilities that he finishes in the top three.
Work out the probability that Marc finishes in the top three in at most one of the two races.Fundamentals of Tree Diagrams▶ Show worked answerHide worked answer
- M1: 0.7 × 0.4
- M1: 1 - 0.28
- A1: 0.72
Answer: 0.72[3 marks] - 4
Question 4. The diagram shows an equilateral triangle with sides of length 5.5 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 = 5.5 × sin 60°
- A1: 4.8
Answer: 4.8 cm[2 marks] - 5
Question 5. The exchange rate is £1 = €1.15
Complete the statement.
£square = €138Currency Conversions▶ Show worked answerHide worked answer
- M1: 138 ÷ 1.15
- A1: 120
Answer: 120[2 marks]