Mixed Topic Worksheet Grades 4/5: Day 063
- 1
Question 1. Year 10 and Year 11 students answered Yes or No to a question.
Complete the totals in the two-way table.Constructing Two-Way Tables▶ Show worked answerHide worked answer
- B1: Year 10 total 23 and Year 11 total 27
- B1: Yes total 25 and No total 25
- B1: overall total 50
Answer: Year 10 total 23; Year 11 total 27; Yes total 25; No total 25; overall total 50[3 marks] - 2
Question 2. Work out dfrac23 + dfrac35
Give your answer as a mixed number in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: dfrac23=dfrac1015, dfrac35=dfrac915
- A1: 1dfrac415
Answer: 1dfrac415[2 marks] - 3
Question 3. The diagram shows an isosceles triangle.
Ben works out the perimeter of the triangle.
7 + 10 = 17 cm
Ben's answer is not correct.
Work out the correct perimeter.Perimeter of Triangles▶ Show worked answerHide worked answer
- M1: 7 + 7 + 10
- A1: 24
Answer: 24 cm[2 marks] - 4
Question 4. Ali says that x = 8 satisfies -5 < 2x - 3 ≤ 13. Is Ali correct? You must show your working.
Solving Compound Inequalities▶ Show worked answerHide worked answer
- M1: 2 × 8 - 3 = 13
- A1: Yes, because -5 < 13 and 13 ≤ 13
Answer: Yes. 2 × 8 - 3 = 13, and -5 < 13 ≤ 13[2 marks] - 5
Question 5. A speed-time graph for a car is a straight line sloping down from 20 m/s at 5 seconds to 0 m/s at 10 seconds.
(a) Describe the motion of the car between 5 and 10 seconds. [1]
(b) Work out the size of its deceleration. [1]Key Regions on Speed-Time Graphs▶ Show worked answerHide worked answer
- B1: (a) slowing down at a constant rate until it stops
- B1: (b) 20 ÷ 5 = 4 m/s²
Answer: (a) Slowing down at a constant rate to a stop; (b) 4 m/s²[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 063
- 1
Question 1. Year 10 and Year 11 students answered Yes or No to a question.
[3 marks]
Complete the totals in the two-way table.Constructing Two-Way Tables▶ Show worked answerHide worked answer
- B1: Year 10 total 23 and Year 11 total 27
- B1: Yes total 25 and No total 25
- B1: overall total 50
Answer: Year 10 total 23; Year 11 total 27; Yes total 25; No total 25; overall total 50 - 2
Question 2. Work out dfrac23 + dfrac35
[2 marks]
Give your answer as a mixed number in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: dfrac23=dfrac1015, dfrac35=dfrac915
- A1: 1dfrac415
Answer: 1dfrac415 - 3
Question 3. The diagram shows an isosceles triangle.
[2 marks]
Ben works out the perimeter of the triangle.
7 + 10 = 17 cm
Ben's answer is not correct.
Work out the correct perimeter.Perimeter of Triangles▶ Show worked answerHide worked answer
- M1: 7 + 7 + 10
- A1: 24
Answer: 24 cm - 4
Question 4. Ali says that x = 8 satisfies -5 < 2x - 3 ≤ 13. Is Ali correct? You must show your working.
[2 marks]Solving Compound Inequalities▶ Show worked answerHide worked answer
- M1: 2 × 8 - 3 = 13
- A1: Yes, because -5 < 13 and 13 ≤ 13
Answer: Yes. 2 × 8 - 3 = 13, and -5 < 13 ≤ 13 - 5
Question 5. A speed-time graph for a car is a straight line sloping down from 20 m/s at 5 seconds to 0 m/s at 10 seconds.
[2 marks]
(a) Describe the motion of the car between 5 and 10 seconds. [1]
(b) Work out the size of its deceleration. [1]Key Regions on Speed-Time Graphs▶ Show worked answerHide worked answer
- B1: (a) slowing down at a constant rate until it stops
- B1: (b) 20 ÷ 5 = 4 m/s²
Answer: (a) Slowing down at a constant rate to a stop; (b) 4 m/s²
Mixed Topic Worksheet Grades 4/5: Day 063
- 1
Question 1. Year 10 and Year 11 students answered Yes or No to a question.
Complete the totals in the two-way table.Constructing Two-Way Tables▶ Show worked answerHide worked answer
- B1: Year 10 total 23 and Year 11 total 27
- B1: Yes total 25 and No total 25
- B1: overall total 50
Answer: Year 10 total 23; Year 11 total 27; Yes total 25; No total 25; overall total 50[3 marks] - 2
Question 2. Work out dfrac23 + dfrac35
Give your answer as a mixed number in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: dfrac23=dfrac1015, dfrac35=dfrac915
- A1: 1dfrac415
Answer: 1dfrac415[2 marks] - 3
Question 3. The diagram shows an isosceles triangle.
Ben works out the perimeter of the triangle.
7 + 10 = 17 cm
Ben's answer is not correct.
Work out the correct perimeter.Perimeter of Triangles▶ Show worked answerHide worked answer
- M1: 7 + 7 + 10
- A1: 24
Answer: 24 cm[2 marks] - 4
Question 4. Ali says that x = 8 satisfies -5 < 2x - 3 ≤ 13. Is Ali correct? You must show your working.
Solving Compound Inequalities▶ Show worked answerHide worked answer
- M1: 2 × 8 - 3 = 13
- A1: Yes, because -5 < 13 and 13 ≤ 13
Answer: Yes. 2 × 8 - 3 = 13, and -5 < 13 ≤ 13[2 marks] - 5
Question 5. A speed-time graph for a car is a straight line sloping down from 20 m/s at 5 seconds to 0 m/s at 10 seconds.
(a) Describe the motion of the car between 5 and 10 seconds. [1]
(b) Work out the size of its deceleration. [1]Key Regions on Speed-Time Graphs▶ Show worked answerHide worked answer
- B1: (a) slowing down at a constant rate until it stops
- B1: (b) 20 ÷ 5 = 4 m/s²
Answer: (a) Slowing down at a constant rate to a stop; (b) 4 m/s²[2 marks]