Mixed Topic Worksheet Grades 4/5: Day 050
- 1
Question 1. Write 18 as a percentage of 50.
One Number as a Percentage of Another▶ Show worked answerHide worked answer
- M1: 18 ÷ 50 = 0.36
- A1: 36%
Answer: 36%[2 marks] - 2
Question 2. A line of best fit for the cost, c pounds, of a taxi journey of t minutes has equation c = 2t + 6.
The cost of a journey was £30.
Use the equation to estimate the time of the journey.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 30 - 6 = 24
- A1: 12 minutes
Answer: 12 minutes[2 marks] - 3
Question 3. Spinner A is numbered 1, 2 and 3.
Spinner B is numbered 1, 2, 3 and 4.
Both spinners are fair and are spun once.
Ali wins if the total of the two scores is 5 or more.
Beth wins if the two scores are the same.
Who is more likely to win?
You must show your working.Sample Space Diagrams▶ Show worked answerHide worked answer
- M1: dfrac612 for Ali from a list or diagram of the 3 × 4 outcomes
- M1: dfrac312 for Beth
- A1: Ali, with a correct comparison, 0.5 > 0.25
Answer: Ali, as 6/12 = 0.5 is greater than 3/12 = 0.25[3 marks] - 4
Question 4. A sector of a circle has an angle of 150^°.
The length of the arc of the sector is 20 cm.
Work out the radius of the circle.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 150/360 × 2 × π × r = 20
- M1: r = 20 ÷ (150/360 × 2 × π)
- A1: 7.6
Answer: 7.6[3 marks] - 5
Question 5. The time taken, t hours, for a journey is inversely proportional to the average speed, s mph.
The graph of t against s passes through the point (45, 4).
A second journey of the same distance takes 2.4 hours.
Work out the average speed for this journey.Inverse Proportion Graphs▶ Show worked answerHide worked answer
- M1: 45 × 4 = 180
- M1: 180 ÷ 2.4
- A1: 75
Answer: 75 mph[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 050
- 1
Question 1. Write 18 as a percentage of 50.
[2 marks]One Number as a Percentage of Another▶ Show worked answerHide worked answer
- M1: 18 ÷ 50 = 0.36
- A1: 36%
Answer: 36% - 2
Question 2. A line of best fit for the cost, c pounds, of a taxi journey of t minutes has equation c = 2t + 6.
[2 marks]
The cost of a journey was £30.
Use the equation to estimate the time of the journey.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 30 - 6 = 24
- A1: 12 minutes
Answer: 12 minutes - 3
Question 3. Spinner A is numbered 1, 2 and 3.
[3 marks]
Spinner B is numbered 1, 2, 3 and 4.
Both spinners are fair and are spun once.
Ali wins if the total of the two scores is 5 or more.
Beth wins if the two scores are the same.
Who is more likely to win?
You must show your working.Sample Space Diagrams▶ Show worked answerHide worked answer
- M1: dfrac612 for Ali from a list or diagram of the 3 × 4 outcomes
- M1: dfrac312 for Beth
- A1: Ali, with a correct comparison, 0.5 > 0.25
Answer: Ali, as 6/12 = 0.5 is greater than 3/12 = 0.25 - 4
Question 4. A sector of a circle has an angle of 150^°.
[3 marks]
The length of the arc of the sector is 20 cm.
Work out the radius of the circle.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 150/360 × 2 × π × r = 20
- M1: r = 20 ÷ (150/360 × 2 × π)
- A1: 7.6
Answer: 7.6 - 5
Question 5. The time taken, t hours, for a journey is inversely proportional to the average speed, s mph.
[3 marks]
The graph of t against s passes through the point (45, 4).
A second journey of the same distance takes 2.4 hours.
Work out the average speed for this journey.Inverse Proportion Graphs▶ Show worked answerHide worked answer
- M1: 45 × 4 = 180
- M1: 180 ÷ 2.4
- A1: 75
Answer: 75 mph
Mixed Topic Worksheet Grades 4/5: Day 050
- 1
Question 1. Write 18 as a percentage of 50.
One Number as a Percentage of Another▶ Show worked answerHide worked answer
- M1: 18 ÷ 50 = 0.36
- A1: 36%
Answer: 36%[2 marks] - 2
Question 2. A line of best fit for the cost, c pounds, of a taxi journey of t minutes has equation c = 2t + 6.
The cost of a journey was £30.
Use the equation to estimate the time of the journey.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 30 - 6 = 24
- A1: 12 minutes
Answer: 12 minutes[2 marks] - 3
Question 3. Spinner A is numbered 1, 2 and 3.
Spinner B is numbered 1, 2, 3 and 4.
Both spinners are fair and are spun once.
Ali wins if the total of the two scores is 5 or more.
Beth wins if the two scores are the same.
Who is more likely to win?
You must show your working.Sample Space Diagrams▶ Show worked answerHide worked answer
- M1: dfrac612 for Ali from a list or diagram of the 3 × 4 outcomes
- M1: dfrac312 for Beth
- A1: Ali, with a correct comparison, 0.5 > 0.25
Answer: Ali, as 6/12 = 0.5 is greater than 3/12 = 0.25[3 marks] - 4
Question 4. A sector of a circle has an angle of 150^°.
The length of the arc of the sector is 20 cm.
Work out the radius of the circle.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 150/360 × 2 × π × r = 20
- M1: r = 20 ÷ (150/360 × 2 × π)
- A1: 7.6
Answer: 7.6[3 marks] - 5
Question 5. The time taken, t hours, for a journey is inversely proportional to the average speed, s mph.
The graph of t against s passes through the point (45, 4).
A second journey of the same distance takes 2.4 hours.
Work out the average speed for this journey.Inverse Proportion Graphs▶ Show worked answerHide worked answer
- M1: 45 × 4 = 180
- M1: 180 ÷ 2.4
- A1: 75
Answer: 75 mph[3 marks]