Mixed Topic Worksheet Grades 4/5: Day 020
- 1
Question 1. Leo says, "2n is always bigger than n."
Find a value of n that shows Leo is wrong.Substitution▶ Show worked answerHide worked answer
- M1: tries a negative value or zero
- A1: e.g. n = -3: 2n = -6 and -6 < -3
Answer: For example n=-3: 2n=-6, which is less than -3 (or n=0 gives 0 = 0)[2 marks] - 2
Question 2. Work out 4dfrac57 - 1dfrac27
Give your answer as a mixed number in its simplest form.Subtracting Mixed Numbers▶ Show worked answerHide worked answer
- M1: 4 - 1 = 3 and dfrac57-dfrac27=dfrac37
- A1: 3dfrac37
Answer: 3dfrac37[2 marks] - 3
Question 3. Work out the gradient of the straight line through (-2, 1) and (2, 9).
Calculating the Gradient of a Line▶ Show worked answerHide worked answer
- M1: (9 - 1) ÷ (2 - (-2))
- A1: 2
Answer: 2[2 marks] - 4
Question 4. Here is a sphere with radius 6.4 cm.
Work out the surface area of the sphere.
Give your answer to 1 decimal place.Surface Area of Spheres▶ Show worked answerHide worked answer
- M1: 4 × π × 6.4²
- A1: 514.7
Answer: 514.7 cm²[2 marks] - 5
Question 5. The table shows the journey times of 50 pupils to school.
(a) Write down the modal class. [1]
(b) Work out the percentage of the pupils whose journey time is in the modal class. [2]Interpreting Grouped Frequency Tables▶ Show worked answerHide worked answer
- (a) B1: 30 < t ≤ 45
- (b) M1: 20 ÷ 50 × 100
- (b) A1: 40%
Answer: (a) 30 < t ≤ 45; (b) 40%[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 020
- 1
Question 1. Leo says, "2n is always bigger than n."
[2 marks]
Find a value of n that shows Leo is wrong.Substitution▶ Show worked answerHide worked answer
- M1: tries a negative value or zero
- A1: e.g. n = -3: 2n = -6 and -6 < -3
Answer: For example n=-3: 2n=-6, which is less than -3 (or n=0 gives 0 = 0) - 2
Question 2. Work out 4dfrac57 - 1dfrac27
[2 marks]
Give your answer as a mixed number in its simplest form.Subtracting Mixed Numbers▶ Show worked answerHide worked answer
- M1: 4 - 1 = 3 and dfrac57-dfrac27=dfrac37
- A1: 3dfrac37
Answer: 3dfrac37 - 3
Question 3. Work out the gradient of the straight line through (-2, 1) and (2, 9).
[2 marks]Calculating the Gradient of a Line▶ Show worked answerHide worked answer
- M1: (9 - 1) ÷ (2 - (-2))
- A1: 2
Answer: 2 - 4
Question 4. Here is a sphere with radius 6.4 cm.
[2 marks]
Work out the surface area of the sphere.
Give your answer to 1 decimal place.Surface Area of Spheres▶ Show worked answerHide worked answer
- M1: 4 × π × 6.4²
- A1: 514.7
Answer: 514.7 cm² - 5
Question 5. The table shows the journey times of 50 pupils to school.
[3 marks]
(a) Write down the modal class. [1]
(b) Work out the percentage of the pupils whose journey time is in the modal class. [2]Interpreting Grouped Frequency Tables▶ Show worked answerHide worked answer
- (a) B1: 30 < t ≤ 45
- (b) M1: 20 ÷ 50 × 100
- (b) A1: 40%
Answer: (a) 30 < t ≤ 45; (b) 40%
Mixed Topic Worksheet Grades 4/5: Day 020
- 1
Question 1. Leo says, "2n is always bigger than n."
Find a value of n that shows Leo is wrong.Substitution▶ Show worked answerHide worked answer
- M1: tries a negative value or zero
- A1: e.g. n = -3: 2n = -6 and -6 < -3
Answer: For example n=-3: 2n=-6, which is less than -3 (or n=0 gives 0 = 0)[2 marks] - 2
Question 2. Work out 4dfrac57 - 1dfrac27
Give your answer as a mixed number in its simplest form.Subtracting Mixed Numbers▶ Show worked answerHide worked answer
- M1: 4 - 1 = 3 and dfrac57-dfrac27=dfrac37
- A1: 3dfrac37
Answer: 3dfrac37[2 marks] - 3
Question 3. Work out the gradient of the straight line through (-2, 1) and (2, 9).
Calculating the Gradient of a Line▶ Show worked answerHide worked answer
- M1: (9 - 1) ÷ (2 - (-2))
- A1: 2
Answer: 2[2 marks] - 4
Question 4. Here is a sphere with radius 6.4 cm.
Work out the surface area of the sphere.
Give your answer to 1 decimal place.Surface Area of Spheres▶ Show worked answerHide worked answer
- M1: 4 × π × 6.4²
- A1: 514.7
Answer: 514.7 cm²[2 marks] - 5
Question 5. The table shows the journey times of 50 pupils to school.
(a) Write down the modal class. [1]
(b) Work out the percentage of the pupils whose journey time is in the modal class. [2]Interpreting Grouped Frequency Tables▶ Show worked answerHide worked answer
- (a) B1: 30 < t ≤ 45
- (b) M1: 20 ÷ 50 × 100
- (b) A1: 40%
Answer: (a) 30 < t ≤ 45; (b) 40%[3 marks]