Mixed Topic Worksheet Grades 4/5: Day 064
- 1
Question 1. A recipe uses dfrac74 kg of flour. The scales show decimals. Convert dfrac74 to a decimal.
Converting Improper Fractions to Decimals▶ Show worked answerHide worked answer
- M1: 7 ÷ 4 (or 1dfrac34)
- A1: 1.75
Answer: 1.75[2 marks] - 2
Question 2. Does the point (2, 7) lie on the line y = 3x + 1?
You must show your working.Identifying If a Point Is on a Line▶ Show worked answerHide worked answer
- M1: substitute x = 2 into 3x + 1
- A1: y = 7, so the point is on the line
Answer: Yes. When x = 2, y = 3 × 2 + 1 = 7[2 marks] - 3
Question 3. Here are the first four terms of a sequence.
2 qquad 6 qquad 18 qquad 54 qquad ldots
Write down the next term of the sequence.Types of Sequences▶ Show worked answerHide worked answer
- M1: each term is the previous term multiplied by 3 (6 ÷ 2)
- A1: 162
Answer: 162[2 marks] - 4
Question 4. A pie chart shows how 90 people travel to work. The angle of the sector for cycling is 52°.
Work out the number of people who cycle.Drawing Pie Charts▶ Show worked answerHide worked answer
- M1: 52 ÷ 360 × 90
- A1: 13
Answer: 13[2 marks] - 5
Question 5. Here is a cone. Work out the volume of the cone.
Give your answer to 3 significant figures.Volume of Cones▶ Show worked answerHide worked answer
- M1: 12 ÷ 2 = 6
- M1: 1/3 × π × 6² × 11
- A1: 415
Answer: 415[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 064
- 1
Question 1. A recipe uses dfrac74 kg of flour. The scales show decimals. Convert dfrac74 to a decimal.
[2 marks]Converting Improper Fractions to Decimals▶ Show worked answerHide worked answer
- M1: 7 ÷ 4 (or 1dfrac34)
- A1: 1.75
Answer: 1.75 - 2
Question 2. Does the point (2, 7) lie on the line y = 3x + 1?
[2 marks]
You must show your working.Identifying If a Point Is on a Line▶ Show worked answerHide worked answer
- M1: substitute x = 2 into 3x + 1
- A1: y = 7, so the point is on the line
Answer: Yes. When x = 2, y = 3 × 2 + 1 = 7 - 3
Question 3. Here are the first four terms of a sequence.
[2 marks]
2 qquad 6 qquad 18 qquad 54 qquad ldots
Write down the next term of the sequence.Types of Sequences▶ Show worked answerHide worked answer
- M1: each term is the previous term multiplied by 3 (6 ÷ 2)
- A1: 162
Answer: 162 - 4
Question 4. A pie chart shows how 90 people travel to work. The angle of the sector for cycling is 52°.
[2 marks]
Work out the number of people who cycle.Drawing Pie Charts▶ Show worked answerHide worked answer
- M1: 52 ÷ 360 × 90
- A1: 13
Answer: 13 - 5
Question 5. Here is a cone. Work out the volume of the cone.
[3 marks]
Give your answer to 3 significant figures.Volume of Cones▶ Show worked answerHide worked answer
- M1: 12 ÷ 2 = 6
- M1: 1/3 × π × 6² × 11
- A1: 415
Answer: 415
Mixed Topic Worksheet Grades 4/5: Day 064
- 1
Question 1. A recipe uses dfrac74 kg of flour. The scales show decimals. Convert dfrac74 to a decimal.
Converting Improper Fractions to Decimals▶ Show worked answerHide worked answer
- M1: 7 ÷ 4 (or 1dfrac34)
- A1: 1.75
Answer: 1.75[2 marks] - 2
Question 2. Does the point (2, 7) lie on the line y = 3x + 1?
You must show your working.Identifying If a Point Is on a Line▶ Show worked answerHide worked answer
- M1: substitute x = 2 into 3x + 1
- A1: y = 7, so the point is on the line
Answer: Yes. When x = 2, y = 3 × 2 + 1 = 7[2 marks] - 3
Question 3. Here are the first four terms of a sequence.
2 qquad 6 qquad 18 qquad 54 qquad ldots
Write down the next term of the sequence.Types of Sequences▶ Show worked answerHide worked answer
- M1: each term is the previous term multiplied by 3 (6 ÷ 2)
- A1: 162
Answer: 162[2 marks] - 4
Question 4. A pie chart shows how 90 people travel to work. The angle of the sector for cycling is 52°.
Work out the number of people who cycle.Drawing Pie Charts▶ Show worked answerHide worked answer
- M1: 52 ÷ 360 × 90
- A1: 13
Answer: 13[2 marks] - 5
Question 5. Here is a cone. Work out the volume of the cone.
Give your answer to 3 significant figures.Volume of Cones▶ Show worked answerHide worked answer
- M1: 12 ÷ 2 = 6
- M1: 1/3 × π × 6² × 11
- A1: 415
Answer: 415[3 marks]