Mixed Topic Worksheet Grades 4/5: Day 098
- 1
Question 1. On one day a zoo has 120 child visitors and 360 adult visitors.
The zoo wants a sample of 20 visitors that matches the mix of children and adults.
Work out how many child visitors should be in the sample.Identifying Biased Samples▶ Show worked answerHide worked answer
- M1: 120 ÷ 480 = 1/4 (or 480 ÷ 20 = 24 visitors for each in the sample)
- A1: 5
Answer: 5[2 marks] - 2
Question 2. A pack of 6 pens costs £3.60.
Work out the cost of one pen.Like-for-Like Comparisons▶ Show worked answerHide worked answer
- M1: 3.60 ÷ 6
- A1: £0.60
Answer: £0.60[2 marks] - 3
Question 3. Work out 3⁰ + 4⁰ + 5¹
Powers of Zero & One▶ Show worked answerHide worked answer
- M1: 3⁰ = 1 and 4⁰ = 1
- A1: 7
Answer: 7[2 marks] - 4
Question 4. Work out the size of angle x.
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = cos⁻¹(13/15)
- A1: 29.9
Answer: 29.9°[2 marks] - 5
Question 5. Here is a pyramid with a square base of side 4.8 cm.
The slant height of each triangular face is 7.5 cm.
Work out the total surface area of the pyramid.
Give your answer to 1 decimal place.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4.8 × 4.8 and 4 × 1/2 × 4.8 × 7.5
- A1: 95.0
Answer: 95.0 cm²[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 098
- 1
Question 1. On one day a zoo has 120 child visitors and 360 adult visitors.
[2 marks]
The zoo wants a sample of 20 visitors that matches the mix of children and adults.
Work out how many child visitors should be in the sample.Identifying Biased Samples▶ Show worked answerHide worked answer
- M1: 120 ÷ 480 = 1/4 (or 480 ÷ 20 = 24 visitors for each in the sample)
- A1: 5
Answer: 5 - 2
Question 2. A pack of 6 pens costs £3.60.
[2 marks]
Work out the cost of one pen.Like-for-Like Comparisons▶ Show worked answerHide worked answer
- M1: 3.60 ÷ 6
- A1: £0.60
Answer: £0.60 - 3
Question 3. Work out 3⁰ + 4⁰ + 5¹
[2 marks]Powers of Zero & One▶ Show worked answerHide worked answer
- M1: 3⁰ = 1 and 4⁰ = 1
- A1: 7
Answer: 7 - 4
Question 4. Work out the size of angle x.
[2 marks]
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = cos⁻¹(13/15)
- A1: 29.9
Answer: 29.9° - 5
Question 5. Here is a pyramid with a square base of side 4.8 cm.
[2 marks]
The slant height of each triangular face is 7.5 cm.
Work out the total surface area of the pyramid.
Give your answer to 1 decimal place.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4.8 × 4.8 and 4 × 1/2 × 4.8 × 7.5
- A1: 95.0
Answer: 95.0 cm²
Mixed Topic Worksheet Grades 4/5: Day 098
- 1
Question 1. On one day a zoo has 120 child visitors and 360 adult visitors.
The zoo wants a sample of 20 visitors that matches the mix of children and adults.
Work out how many child visitors should be in the sample.Identifying Biased Samples▶ Show worked answerHide worked answer
- M1: 120 ÷ 480 = 1/4 (or 480 ÷ 20 = 24 visitors for each in the sample)
- A1: 5
Answer: 5[2 marks] - 2
Question 2. A pack of 6 pens costs £3.60.
Work out the cost of one pen.Like-for-Like Comparisons▶ Show worked answerHide worked answer
- M1: 3.60 ÷ 6
- A1: £0.60
Answer: £0.60[2 marks] - 3
Question 3. Work out 3⁰ + 4⁰ + 5¹
Powers of Zero & One▶ Show worked answerHide worked answer
- M1: 3⁰ = 1 and 4⁰ = 1
- A1: 7
Answer: 7[2 marks] - 4
Question 4. Work out the size of angle x.
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = cos⁻¹(13/15)
- A1: 29.9
Answer: 29.9°[2 marks] - 5
Question 5. Here is a pyramid with a square base of side 4.8 cm.
The slant height of each triangular face is 7.5 cm.
Work out the total surface area of the pyramid.
Give your answer to 1 decimal place.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4.8 × 4.8 and 4 × 1/2 × 4.8 × 7.5
- A1: 95.0
Answer: 95.0 cm²[2 marks]