Mixed Topic Worksheet Grades 4/5: Day 096
- 1
Question 1. The diagram shows a semicircle.
Work out the perimeter of the semicircle.
Give your answer to 1 decimal place.Perimeter of a Semicircle▶ Show worked answerHide worked answer
- M1: π × 10 ÷ 2 + 10
- A1: 25.7
Answer: 25.7 cm[2 marks] - 2
Question 2. The tally chart shows how each of some pupils travels to school. Complete the frequency column.
Working with Tally Charts▶ Show worked answerHide worked answer
- B1: any two frequencies correct
- B1: all four frequencies correct
Answer: Walk 8, Bus 11, Car 6, Cycle 3[2 marks] - 3
Question 3. Work out dfrac512 + dfrac718
Give your answer as a fraction in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: dfrac512=dfrac1536, dfrac718=dfrac1436
- M1: 15 + 14 = 29
- A1: dfrac2936
Answer: dfrac2936[3 marks] - 4
Question 4. Work out the distance between the points C(1, 2) and D(4, 6).
Finding the Distance Between Two Points▶ Show worked answerHide worked answer
- M1: √3² + 4²
- A1: 5
Answer: 5[2 marks] - 5
Question 5. ABC is a right-angled triangle.
The right angle is at B.
Angle ACB = 50^°
AB = 9.2 cm
Work out the length of AC.
Give your answer to 1 decimal place.Fundamentals of SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: sin 50° = 9.2/AC
- M1: AC = 9.2 ÷ sin 50°
- A1: 12.0
Answer: 12.0 cm[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 096
- 1
Question 1. The diagram shows a semicircle.
[2 marks]
Work out the perimeter of the semicircle.
Give your answer to 1 decimal place.Perimeter of a Semicircle▶ Show worked answerHide worked answer
- M1: π × 10 ÷ 2 + 10
- A1: 25.7
Answer: 25.7 cm - 2
Question 2. The tally chart shows how each of some pupils travels to school. Complete the frequency column.
[2 marks]Working with Tally Charts▶ Show worked answerHide worked answer
- B1: any two frequencies correct
- B1: all four frequencies correct
Answer: Walk 8, Bus 11, Car 6, Cycle 3 - 3
Question 3. Work out dfrac512 + dfrac718
[3 marks]
Give your answer as a fraction in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: dfrac512=dfrac1536, dfrac718=dfrac1436
- M1: 15 + 14 = 29
- A1: dfrac2936
Answer: dfrac2936 - 4
Question 4. Work out the distance between the points C(1, 2) and D(4, 6).
[2 marks]Finding the Distance Between Two Points▶ Show worked answerHide worked answer
- M1: √3² + 4²
- A1: 5
Answer: 5 - 5
Question 5. ABC is a right-angled triangle.
[3 marks]
The right angle is at B.
Angle ACB = 50^°
AB = 9.2 cm
Work out the length of AC.
Give your answer to 1 decimal place.Fundamentals of SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: sin 50° = 9.2/AC
- M1: AC = 9.2 ÷ sin 50°
- A1: 12.0
Answer: 12.0 cm
Mixed Topic Worksheet Grades 4/5: Day 096
- 1
Question 1. The diagram shows a semicircle.
Work out the perimeter of the semicircle.
Give your answer to 1 decimal place.Perimeter of a Semicircle▶ Show worked answerHide worked answer
- M1: π × 10 ÷ 2 + 10
- A1: 25.7
Answer: 25.7 cm[2 marks] - 2
Question 2. The tally chart shows how each of some pupils travels to school. Complete the frequency column.
Working with Tally Charts▶ Show worked answerHide worked answer
- B1: any two frequencies correct
- B1: all four frequencies correct
Answer: Walk 8, Bus 11, Car 6, Cycle 3[2 marks] - 3
Question 3. Work out dfrac512 + dfrac718
Give your answer as a fraction in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: dfrac512=dfrac1536, dfrac718=dfrac1436
- M1: 15 + 14 = 29
- A1: dfrac2936
Answer: dfrac2936[3 marks] - 4
Question 4. Work out the distance between the points C(1, 2) and D(4, 6).
Finding the Distance Between Two Points▶ Show worked answerHide worked answer
- M1: √3² + 4²
- A1: 5
Answer: 5[2 marks] - 5
Question 5. ABC is a right-angled triangle.
The right angle is at B.
Angle ACB = 50^°
AB = 9.2 cm
Work out the length of AC.
Give your answer to 1 decimal place.Fundamentals of SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: sin 50° = 9.2/AC
- M1: AC = 9.2 ÷ sin 50°
- A1: 12.0
Answer: 12.0 cm[3 marks]