Mixed Topic Worksheet Grades 1/2/3: Day 091
- 1
Question 1. A solid has 5 faces.
Two of the faces are triangles.
The other three faces are rectangles.
Write down the name of the solid.Identifying 3D Shapes▶ Show worked answerHide worked answer
- B1: triangular prism
Answer: triangular prism[1 mark] - 2
Question 2. Write down the coefficient of x in the expression 7x + 4.
Key Vocabulary▶ Show worked answerHide worked answer
- B1: 7
Answer: 7[1 mark] - 3
Question 3. Find dfrac23 of 45.
Finding a Fraction of an Amount▶ Show worked answerHide worked answer
- M1: 45 ÷ 3 = 15
- A1: 30
Answer: 30[2 marks] - 4
Question 4. Here are the times, in seconds, of two runners in five races.
Ali: 12.4 12.9 12.1 13.0 12.6
Ben: 12.2 12.8 12.5 12.3 12.7
The runner with the smaller range is more consistent.
Who is more consistent?
You must show your working.Range from a List▶ Show worked answerHide worked answer
- M1: Ali's range is 13.0 - 12.1 = 0.9
- M1: Ben's range is 12.8 - 12.2 = 0.6
- A1: Ben, since 0.6 is less than 0.9
Answer: Ben (ranges 0.9 and 0.6)[3 marks] - 5
Question 5. A model is made from two cuboids. The diagram shows the plan of the model. The lengths are in centimetres. The lower cuboid is 3 cm high. The upper cuboid is 4 cm by 4 cm and 2 cm high. It stands on the lower cuboid at its left-hand end. The front of the model is the bottom edge of the plan.
(a) Draw a sketch of the front elevation of the model. Label its lengths. [2]
(b) Work out the area of the front elevation of the model. [2]Sketching Projections▶ Show worked answerHide worked answer
- (a) B2: 8 by 3 rectangle with a 4 by 2 rectangle on its left-hand end (B1 for one block wrong)
- (b) M1: 8 × 3 + 4 × 2
- (b) A1: 32
Answer: (a) 8 by 3 rectangle with a 4 by 2 rectangle on top at the left; (b) 32[4 marks]
Mixed Topic Worksheet Grades 1/2/3: Day 091
- 1
Question 1. A solid has 5 faces.
[1 mark]
Two of the faces are triangles.
The other three faces are rectangles.
Write down the name of the solid.Identifying 3D Shapes▶ Show worked answerHide worked answer
- B1: triangular prism
Answer: triangular prism - 2
Question 2. Write down the coefficient of x in the expression 7x + 4.
[1 mark]Key Vocabulary▶ Show worked answerHide worked answer
- B1: 7
Answer: 7 - 3
Question 3. Find dfrac23 of 45.
[2 marks]Finding a Fraction of an Amount▶ Show worked answerHide worked answer
- M1: 45 ÷ 3 = 15
- A1: 30
Answer: 30 - 4
Question 4. Here are the times, in seconds, of two runners in five races.
[3 marks]
Ali: 12.4 12.9 12.1 13.0 12.6
Ben: 12.2 12.8 12.5 12.3 12.7
The runner with the smaller range is more consistent.
Who is more consistent?
You must show your working.Range from a List▶ Show worked answerHide worked answer
- M1: Ali's range is 13.0 - 12.1 = 0.9
- M1: Ben's range is 12.8 - 12.2 = 0.6
- A1: Ben, since 0.6 is less than 0.9
Answer: Ben (ranges 0.9 and 0.6) - 5
Question 5. A model is made from two cuboids. The diagram shows the plan of the model. The lengths are in centimetres. The lower cuboid is 3 cm high. The upper cuboid is 4 cm by 4 cm and 2 cm high. It stands on the lower cuboid at its left-hand end. The front of the model is the bottom edge of the plan.
[4 marks]
(a) Draw a sketch of the front elevation of the model. Label its lengths. [2]
(b) Work out the area of the front elevation of the model. [2]Sketching Projections▶ Show worked answerHide worked answer
- (a) B2: 8 by 3 rectangle with a 4 by 2 rectangle on its left-hand end (B1 for one block wrong)
- (b) M1: 8 × 3 + 4 × 2
- (b) A1: 32
Answer: (a) 8 by 3 rectangle with a 4 by 2 rectangle on top at the left; (b) 32
Mixed Topic Worksheet Grades 1/2/3: Day 091
- 1
Question 1. A solid has 5 faces.
Two of the faces are triangles.
The other three faces are rectangles.
Write down the name of the solid.Identifying 3D Shapes▶ Show worked answerHide worked answer
- B1: triangular prism
Answer: triangular prism[1 mark] - 2
Question 2. Write down the coefficient of x in the expression 7x + 4.
Key Vocabulary▶ Show worked answerHide worked answer
- B1: 7
Answer: 7[1 mark] - 3
Question 3. Find dfrac23 of 45.
Finding a Fraction of an Amount▶ Show worked answerHide worked answer
- M1: 45 ÷ 3 = 15
- A1: 30
Answer: 30[2 marks] - 4
Question 4. Here are the times, in seconds, of two runners in five races.
Ali: 12.4 12.9 12.1 13.0 12.6
Ben: 12.2 12.8 12.5 12.3 12.7
The runner with the smaller range is more consistent.
Who is more consistent?
You must show your working.Range from a List▶ Show worked answerHide worked answer
- M1: Ali's range is 13.0 - 12.1 = 0.9
- M1: Ben's range is 12.8 - 12.2 = 0.6
- A1: Ben, since 0.6 is less than 0.9
Answer: Ben (ranges 0.9 and 0.6)[3 marks] - 5
Question 5. A model is made from two cuboids. The diagram shows the plan of the model. The lengths are in centimetres. The lower cuboid is 3 cm high. The upper cuboid is 4 cm by 4 cm and 2 cm high. It stands on the lower cuboid at its left-hand end. The front of the model is the bottom edge of the plan.
(a) Draw a sketch of the front elevation of the model. Label its lengths. [2]
(b) Work out the area of the front elevation of the model. [2]Sketching Projections▶ Show worked answerHide worked answer
- (a) B2: 8 by 3 rectangle with a 4 by 2 rectangle on its left-hand end (B1 for one block wrong)
- (b) M1: 8 × 3 + 4 × 2
- (b) A1: 32
Answer: (a) 8 by 3 rectangle with a 4 by 2 rectangle on top at the left; (b) 32[4 marks]