Mixed Topic Worksheet Grades 4/5: Day 070
- 1
Question 1. Simplify the ratio 15 : 20.
Simplifying Ratios▶ Show worked answerHide worked answer
- B1: 3 : 4
Answer: 3 : 4[1 mark] - 2
Question 2. xa × x⁵ = x¹¹. Work out the value of a.
Simplifying Powers▶ Show worked answerHide worked answer
- M1: a + 5 = 11
- A1: 6
Answer: 6[2 marks] - 3
Question 3. The diagram shows a trapezium.
Work out the perimeter of the trapezium in centimetres.Perimeter of Trapeziums▶ Show worked answerHide worked answer
- M1: 1.5 m = 150 cm
- M1: 150 + 80 + 90 + 70
- A1: 390
Answer: 390 cm[3 marks] - 4
Question 4. The mean height of 5 girls is 156 cm.
The heights of four of the girls are
150 cm 158 cm 162 cm 155 cm
Work out the height of the fifth girl.Reverse Mean from a List▶ Show worked answerHide worked answer
- M1: 5 x 156 = 780
- M1: 780 - (150 + 158 + 162 + 155)
- A1: 155 cm
Answer: 155 cm[3 marks] - 5
Question 5. A ladder of length 6 m leans against a vertical wall.
The ladder makes an angle of 72^° with the horizontal ground.
Work out how far up the wall the ladder reaches.
Give your answer to 1 decimal place.Fundamentals of SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: sin 72° = height/6
- M1: height = 6 × sin 72°
- A1: 5.7
Answer: 5.7 m[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 070
- 1
Question 1. Simplify the ratio 15 : 20.
[1 mark]Simplifying Ratios▶ Show worked answerHide worked answer
- B1: 3 : 4
Answer: 3 : 4 - 2
Question 2. xa × x⁵ = x¹¹. Work out the value of a.
[2 marks]Simplifying Powers▶ Show worked answerHide worked answer
- M1: a + 5 = 11
- A1: 6
Answer: 6 - 3
Question 3. The diagram shows a trapezium.
[3 marks]
Work out the perimeter of the trapezium in centimetres.Perimeter of Trapeziums▶ Show worked answerHide worked answer
- M1: 1.5 m = 150 cm
- M1: 150 + 80 + 90 + 70
- A1: 390
Answer: 390 cm - 4
Question 4. The mean height of 5 girls is 156 cm.
[3 marks]
The heights of four of the girls are
150 cm 158 cm 162 cm 155 cm
Work out the height of the fifth girl.Reverse Mean from a List▶ Show worked answerHide worked answer
- M1: 5 x 156 = 780
- M1: 780 - (150 + 158 + 162 + 155)
- A1: 155 cm
Answer: 155 cm - 5
Question 5. A ladder of length 6 m leans against a vertical wall.
[3 marks]
The ladder makes an angle of 72^° with the horizontal ground.
Work out how far up the wall the ladder reaches.
Give your answer to 1 decimal place.Fundamentals of SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: sin 72° = height/6
- M1: height = 6 × sin 72°
- A1: 5.7
Answer: 5.7 m
Mixed Topic Worksheet Grades 4/5: Day 070
- 1
Question 1. Simplify the ratio 15 : 20.
Simplifying Ratios▶ Show worked answerHide worked answer
- B1: 3 : 4
Answer: 3 : 4[1 mark] - 2
Question 2. xa × x⁵ = x¹¹. Work out the value of a.
Simplifying Powers▶ Show worked answerHide worked answer
- M1: a + 5 = 11
- A1: 6
Answer: 6[2 marks] - 3
Question 3. The diagram shows a trapezium.
Work out the perimeter of the trapezium in centimetres.Perimeter of Trapeziums▶ Show worked answerHide worked answer
- M1: 1.5 m = 150 cm
- M1: 150 + 80 + 90 + 70
- A1: 390
Answer: 390 cm[3 marks] - 4
Question 4. The mean height of 5 girls is 156 cm.
The heights of four of the girls are
150 cm 158 cm 162 cm 155 cm
Work out the height of the fifth girl.Reverse Mean from a List▶ Show worked answerHide worked answer
- M1: 5 x 156 = 780
- M1: 780 - (150 + 158 + 162 + 155)
- A1: 155 cm
Answer: 155 cm[3 marks] - 5
Question 5. A ladder of length 6 m leans against a vertical wall.
The ladder makes an angle of 72^° with the horizontal ground.
Work out how far up the wall the ladder reaches.
Give your answer to 1 decimal place.Fundamentals of SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: sin 72° = height/6
- M1: height = 6 × sin 72°
- A1: 5.7
Answer: 5.7 m[3 marks]