Mixed Topic Worksheet Grades 4/5: Day 021
- 1
Question 1. Convert 0.65 litres to millilitres.
Standard Unit Conversions▶ Show worked answerHide worked answer
- M1: 0.65 × 1000
- A1: 650
Answer: 650 ml[2 marks] - 2
Question 2. The diagram shows an equilateral triangle.
Work out the perimeter of the triangle.Perimeter of Triangles▶ Show worked answerHide worked answer
- M1: 3 × 11
- A1: 33
Answer: 33 cm[2 marks] - 3
Question 3. A line of best fit for children aged 5 to 15 gives shoe size = 0.8 × age + 1.
Maia uses it to predict that a 40-year-old has shoe size 33.
Comment on her prediction. [2]Danger of Extrapolation▶ Show worked answerHide worked answer
- B1: 40 is outside the range of the data (5 to 15), so this is extrapolation
- B1: so the prediction is unreliable (feet stop growing)
Answer: Unreliable: 40 is far outside the ages 5 to 15 in the data (extrapolation)[2 marks] - 4
Question 4. Solve 8x - 5 = 3x + 20
Solving Harder Equations▶ Show worked answerHide worked answer
- M1: Collects the x terms and the numbers: 5x = 25
- A1: x = 5
Answer: x = 5[2 marks] - 5
Question 5. 40 students were asked about sport.
24 students play football.
15 students play rugby.
6 students play football and rugby.
Complete the Venn diagram.Sets & Venn Diagrams▶ Show worked answerHide worked answer
- B1: 6 in the overlap
- B1: 24 - 6 = 18 football only and 15 - 6 = 9 rugby only
- B1: 40 - 18 - 6 - 9 = 7 outside both circles
Answer: Overlap 6; football only 18; rugby only 9; outside 7[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 021
- 1
Question 1. Convert 0.65 litres to millilitres.
[2 marks]Standard Unit Conversions▶ Show worked answerHide worked answer
- M1: 0.65 × 1000
- A1: 650
Answer: 650 ml - 2
Question 2. The diagram shows an equilateral triangle.
[2 marks]
Work out the perimeter of the triangle.Perimeter of Triangles▶ Show worked answerHide worked answer
- M1: 3 × 11
- A1: 33
Answer: 33 cm - 3
Question 3. A line of best fit for children aged 5 to 15 gives shoe size = 0.8 × age + 1.
[2 marks]
Maia uses it to predict that a 40-year-old has shoe size 33.
Comment on her prediction. [2]Danger of Extrapolation▶ Show worked answerHide worked answer
- B1: 40 is outside the range of the data (5 to 15), so this is extrapolation
- B1: so the prediction is unreliable (feet stop growing)
Answer: Unreliable: 40 is far outside the ages 5 to 15 in the data (extrapolation) - 4
Question 4. Solve 8x - 5 = 3x + 20
[2 marks]Solving Harder Equations▶ Show worked answerHide worked answer
- M1: Collects the x terms and the numbers: 5x = 25
- A1: x = 5
Answer: x = 5 - 5
Question 5. 40 students were asked about sport.
[3 marks]
24 students play football.
15 students play rugby.
6 students play football and rugby.
Complete the Venn diagram.Sets & Venn Diagrams▶ Show worked answerHide worked answer
- B1: 6 in the overlap
- B1: 24 - 6 = 18 football only and 15 - 6 = 9 rugby only
- B1: 40 - 18 - 6 - 9 = 7 outside both circles
Answer: Overlap 6; football only 18; rugby only 9; outside 7
Mixed Topic Worksheet Grades 4/5: Day 021
- 1
Question 1. Convert 0.65 litres to millilitres.
Standard Unit Conversions▶ Show worked answerHide worked answer
- M1: 0.65 × 1000
- A1: 650
Answer: 650 ml[2 marks] - 2
Question 2. The diagram shows an equilateral triangle.
Work out the perimeter of the triangle.Perimeter of Triangles▶ Show worked answerHide worked answer
- M1: 3 × 11
- A1: 33
Answer: 33 cm[2 marks] - 3
Question 3. A line of best fit for children aged 5 to 15 gives shoe size = 0.8 × age + 1.
Maia uses it to predict that a 40-year-old has shoe size 33.
Comment on her prediction. [2]Danger of Extrapolation▶ Show worked answerHide worked answer
- B1: 40 is outside the range of the data (5 to 15), so this is extrapolation
- B1: so the prediction is unreliable (feet stop growing)
Answer: Unreliable: 40 is far outside the ages 5 to 15 in the data (extrapolation)[2 marks] - 4
Question 4. Solve 8x - 5 = 3x + 20
Solving Harder Equations▶ Show worked answerHide worked answer
- M1: Collects the x terms and the numbers: 5x = 25
- A1: x = 5
Answer: x = 5[2 marks] - 5
Question 5. 40 students were asked about sport.
24 students play football.
15 students play rugby.
6 students play football and rugby.
Complete the Venn diagram.Sets & Venn Diagrams▶ Show worked answerHide worked answer
- B1: 6 in the overlap
- B1: 24 - 6 = 18 football only and 15 - 6 = 9 rugby only
- B1: 40 - 18 - 6 - 9 = 7 outside both circles
Answer: Overlap 6; football only 18; rugby only 9; outside 7[3 marks]