Mixed Topic Worksheet Grades 4/5: Day 090
- 1
Question 1. Simplify 4 × 3y
Multiplying Algebraic Terms▶ Show worked answerHide worked answer
- B1: multiplies the numbers to give 12y
Answer: 12y[1 mark] - 2
Question 2. Work out the gradient of the straight line that passes through the points (-1, 7) and (3, -5).
Calculating the Gradient of a Line▶ Show worked answerHide worked answer
- M1: dfrac-5 - 73 - (-1) = dfrac-124
- A1: -3
Answer: -3[2 marks] - 3
Question 3. A fair coin is flipped three times. Work out the probability of getting exactly two heads.
Constructing Tree Diagrams▶ Show worked answerHide worked answer
- M1: three orders HHT, HTH, THH, each 1/8
- A1: 3/8
Answer: 3/8[2 marks] - 4
Question 4. The price of a ticket increases from £50 to £70.
Work out the percentage increase.Identifying Percentage Changes▶ Show worked answerHide worked answer
- M1: 70 - 50 = 20
- M1: 20 ÷ 50 × 100 (divide the change by the original and multiply by 100)
- A1: 40%
Answer: 40%[3 marks] - 5
Question 5. Here is a solid hemisphere. Work out the volume of the hemisphere.
Give your answer to 1 decimal place.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 4/3 × π × 9³
- M1: 1/2 × 3053.6
- A1: 1526.8
Answer: 1526.8[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 090
- 1
Question 1. Simplify 4 × 3y
[1 mark]Multiplying Algebraic Terms▶ Show worked answerHide worked answer
- B1: multiplies the numbers to give 12y
Answer: 12y - 2
Question 2. Work out the gradient of the straight line that passes through the points (-1, 7) and (3, -5).
[2 marks]Calculating the Gradient of a Line▶ Show worked answerHide worked answer
- M1: dfrac-5 - 73 - (-1) = dfrac-124
- A1: -3
Answer: -3 - 3
Question 3. A fair coin is flipped three times. Work out the probability of getting exactly two heads.
[2 marks]Constructing Tree Diagrams▶ Show worked answerHide worked answer
- M1: three orders HHT, HTH, THH, each 1/8
- A1: 3/8
Answer: 3/8 - 4
Question 4. The price of a ticket increases from £50 to £70.
[3 marks]
Work out the percentage increase.Identifying Percentage Changes▶ Show worked answerHide worked answer
- M1: 70 - 50 = 20
- M1: 20 ÷ 50 × 100 (divide the change by the original and multiply by 100)
- A1: 40%
Answer: 40% - 5
Question 5. Here is a solid hemisphere. Work out the volume of the hemisphere.
[3 marks]
Give your answer to 1 decimal place.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 4/3 × π × 9³
- M1: 1/2 × 3053.6
- A1: 1526.8
Answer: 1526.8
Mixed Topic Worksheet Grades 4/5: Day 090
- 1
Question 1. Simplify 4 × 3y
Multiplying Algebraic Terms▶ Show worked answerHide worked answer
- B1: multiplies the numbers to give 12y
Answer: 12y[1 mark] - 2
Question 2. Work out the gradient of the straight line that passes through the points (-1, 7) and (3, -5).
Calculating the Gradient of a Line▶ Show worked answerHide worked answer
- M1: dfrac-5 - 73 - (-1) = dfrac-124
- A1: -3
Answer: -3[2 marks] - 3
Question 3. A fair coin is flipped three times. Work out the probability of getting exactly two heads.
Constructing Tree Diagrams▶ Show worked answerHide worked answer
- M1: three orders HHT, HTH, THH, each 1/8
- A1: 3/8
Answer: 3/8[2 marks] - 4
Question 4. The price of a ticket increases from £50 to £70.
Work out the percentage increase.Identifying Percentage Changes▶ Show worked answerHide worked answer
- M1: 70 - 50 = 20
- M1: 20 ÷ 50 × 100 (divide the change by the original and multiply by 100)
- A1: 40%
Answer: 40%[3 marks] - 5
Question 5. Here is a solid hemisphere. Work out the volume of the hemisphere.
Give your answer to 1 decimal place.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 4/3 × π × 9³
- M1: 1/2 × 3053.6
- A1: 1526.8
Answer: 1526.8[3 marks]