Mixed Topic Worksheet Grades 4/5: Day 038
- 1
Question 1. Decrease 70 by 20%.
Percentage Change▶ Show worked answerHide worked answer
- M1: 20% of 70 = 14
- A1: 56
Answer: 56[2 marks] - 2
Question 2. Rearrange 3y = 12x + 6 to the form y = mx + c.
Rearranging to the Form y = mx + c▶ Show worked answerHide worked answer
- M1: divides every term by 3
- A1: y = 4x + 2
Answer: y = 4x + 2[2 marks] - 3
Question 3. A frequency tree shows 200 cars. 120 are petrol and 80 are diesel. 15 petrol and 20 diesel cars are red. One car is chosen at random. Work out the probability that it is red.
Finding Probabilities with Frequency Trees▶ Show worked answerHide worked answer
- M1: red cars =15+20=35
- A1: 35/200=7/40
Answer: 7/40[2 marks] - 4
Question 4. Here is a cylinder with radius 4.5 cm and height 12 cm.
Work out the total surface area of the cylinder.
Give your answer to 1 decimal place.Surface Area of Cylinders▶ Show worked answerHide worked answer
- M1: 2 × π × 4.5² and 2 × π × 4.5 × 12
- A1: 466.5
Answer: 466.5 cm²[2 marks] - 5
Question 5. Solve the simultaneous equations
4x - y = 10
3x + 2y = 2 [3]Solving Linear Simultaneous Equations▶ Show worked answerHide worked answer
- M1: multiply the first equation by 2 and add: 11x = 22
- A1: x = 2
- A1: y = -2
Answer: x = 2, y = -2[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 038
- 1
Question 1. Decrease 70 by 20%.
[2 marks]Percentage Change▶ Show worked answerHide worked answer
- M1: 20% of 70 = 14
- A1: 56
Answer: 56 - 2
Question 2. Rearrange 3y = 12x + 6 to the form y = mx + c.
[2 marks]Rearranging to the Form y = mx + c▶ Show worked answerHide worked answer
- M1: divides every term by 3
- A1: y = 4x + 2
Answer: y = 4x + 2 - 3
Question 3. A frequency tree shows 200 cars. 120 are petrol and 80 are diesel. 15 petrol and 20 diesel cars are red. One car is chosen at random. Work out the probability that it is red.
[2 marks]Finding Probabilities with Frequency Trees▶ Show worked answerHide worked answer
- M1: red cars =15+20=35
- A1: 35/200=7/40
Answer: 7/40 - 4
Question 4. Here is a cylinder with radius 4.5 cm and height 12 cm.
[2 marks]
Work out the total surface area of the cylinder.
Give your answer to 1 decimal place.Surface Area of Cylinders▶ Show worked answerHide worked answer
- M1: 2 × π × 4.5² and 2 × π × 4.5 × 12
- A1: 466.5
Answer: 466.5 cm² - 5
Question 5. Solve the simultaneous equations
[3 marks]
4x - y = 10
3x + 2y = 2 [3]Solving Linear Simultaneous Equations▶ Show worked answerHide worked answer
- M1: multiply the first equation by 2 and add: 11x = 22
- A1: x = 2
- A1: y = -2
Answer: x = 2, y = -2
Mixed Topic Worksheet Grades 4/5: Day 038
- 1
Question 1. Decrease 70 by 20%.
Percentage Change▶ Show worked answerHide worked answer
- M1: 20% of 70 = 14
- A1: 56
Answer: 56[2 marks] - 2
Question 2. Rearrange 3y = 12x + 6 to the form y = mx + c.
Rearranging to the Form y = mx + c▶ Show worked answerHide worked answer
- M1: divides every term by 3
- A1: y = 4x + 2
Answer: y = 4x + 2[2 marks] - 3
Question 3. A frequency tree shows 200 cars. 120 are petrol and 80 are diesel. 15 petrol and 20 diesel cars are red. One car is chosen at random. Work out the probability that it is red.
Finding Probabilities with Frequency Trees▶ Show worked answerHide worked answer
- M1: red cars =15+20=35
- A1: 35/200=7/40
Answer: 7/40[2 marks] - 4
Question 4. Here is a cylinder with radius 4.5 cm and height 12 cm.
Work out the total surface area of the cylinder.
Give your answer to 1 decimal place.Surface Area of Cylinders▶ Show worked answerHide worked answer
- M1: 2 × π × 4.5² and 2 × π × 4.5 × 12
- A1: 466.5
Answer: 466.5 cm²[2 marks] - 5
Question 5. Solve the simultaneous equations
4x - y = 10
3x + 2y = 2 [3]Solving Linear Simultaneous Equations▶ Show worked answerHide worked answer
- M1: multiply the first equation by 2 and add: 11x = 22
- A1: x = 2
- A1: y = -2
Answer: x = 2, y = -2[3 marks]