Mixed Topic Worksheet Grades 6/7: Day 016
- 1
Question 1. Here is a sphere. Work out the volume of the sphere.
Give your answer to 3 significant figures.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 16 ÷ 2 = 8
- M1: 4/3 × π × 8³
- A1: 2140
Answer: 2140[3 marks] - 2
Question 2. The table shows information about the heights, in cm, of 45 plants.
(a) Complete the cumulative frequency column of the table. [2]
(b) Work out the number of plants with a height of 30 cm or less. [1]Filling in Cumulative Frequency Tables▶ Show worked answerHide worked answer
- (a) M1: 6 + 14 for the second class, then 20 + 12 for the third
- (a) A1: 20, 32 and 41 correct
- (b) B1: the cumulative frequency for the class ending at 30
Answer: (a) 6, 20, 32, 41, 45; (b) 32[3 marks] - 3
Question 3. f(x) = dfrac2x + 73
Work out the value of x when f(x) = 9Fundamentals of Functions▶ Show worked answerHide worked answer
- M1: 2x + 7 = 9 × 3
- M1: 2x = 27 - 7
- A1: x = 10
Answer: 10[3 marks] - 4
Question 4. Triangle ABC is isosceles.
AB = AC = 10 cm
Angle BAC = 40^°
Work out the area of triangle ABC.
Give your answer to 1 decimal place.Using the Area Rule with Isosceles Triangles▶ Show worked answerHide worked answer
- M1: 1/2 × 10 × 10 × sin 40^°
- A1: 32.1
Answer: 32.1 cm²[2 marks] - 5
Question 5. The cumulative frequency graph gives information about the heights, in cm, of 80 seedlings.
Use the graph to find an estimate for the interquartile range of the heights.Cumulative Frequency Median & IQR▶ Show worked answerHide worked answer
- M1: reads the lower quartile at a cumulative frequency of 20 (24 cm) and the upper quartile at 60 (40 cm)
- A1: 40 - 24 = 16 cm (accept 14 to 18)
Answer: 16 cm (accept 14 to 18)[2 marks]
Mixed Topic Worksheet Grades 6/7: Day 016
- 1
Question 1. Here is a sphere. Work out the volume of the sphere.
[3 marks]
Give your answer to 3 significant figures.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 16 ÷ 2 = 8
- M1: 4/3 × π × 8³
- A1: 2140
Answer: 2140 - 2
Question 2. The table shows information about the heights, in cm, of 45 plants.
[3 marks]
(a) Complete the cumulative frequency column of the table. [2]
(b) Work out the number of plants with a height of 30 cm or less. [1]Filling in Cumulative Frequency Tables▶ Show worked answerHide worked answer
- (a) M1: 6 + 14 for the second class, then 20 + 12 for the third
- (a) A1: 20, 32 and 41 correct
- (b) B1: the cumulative frequency for the class ending at 30
Answer: (a) 6, 20, 32, 41, 45; (b) 32 - 3
Question 3. f(x) = dfrac2x + 73
[3 marks]
Work out the value of x when f(x) = 9Fundamentals of Functions▶ Show worked answerHide worked answer
- M1: 2x + 7 = 9 × 3
- M1: 2x = 27 - 7
- A1: x = 10
Answer: 10 - 4
Question 4. Triangle ABC is isosceles.
[2 marks]
AB = AC = 10 cm
Angle BAC = 40^°
Work out the area of triangle ABC.
Give your answer to 1 decimal place.Using the Area Rule with Isosceles Triangles▶ Show worked answerHide worked answer
- M1: 1/2 × 10 × 10 × sin 40^°
- A1: 32.1
Answer: 32.1 cm² - 5
Question 5. The cumulative frequency graph gives information about the heights, in cm, of 80 seedlings.
[2 marks]
Use the graph to find an estimate for the interquartile range of the heights.Cumulative Frequency Median & IQR▶ Show worked answerHide worked answer
- M1: reads the lower quartile at a cumulative frequency of 20 (24 cm) and the upper quartile at 60 (40 cm)
- A1: 40 - 24 = 16 cm (accept 14 to 18)
Answer: 16 cm (accept 14 to 18)
Mixed Topic Worksheet Grades 6/7: Day 016
- 1
Question 1. Here is a sphere. Work out the volume of the sphere.
Give your answer to 3 significant figures.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 16 ÷ 2 = 8
- M1: 4/3 × π × 8³
- A1: 2140
Answer: 2140[3 marks] - 2
Question 2. The table shows information about the heights, in cm, of 45 plants.
(a) Complete the cumulative frequency column of the table. [2]
(b) Work out the number of plants with a height of 30 cm or less. [1]Filling in Cumulative Frequency Tables▶ Show worked answerHide worked answer
- (a) M1: 6 + 14 for the second class, then 20 + 12 for the third
- (a) A1: 20, 32 and 41 correct
- (b) B1: the cumulative frequency for the class ending at 30
Answer: (a) 6, 20, 32, 41, 45; (b) 32[3 marks] - 3
Question 3. f(x) = dfrac2x + 73
Work out the value of x when f(x) = 9Fundamentals of Functions▶ Show worked answerHide worked answer
- M1: 2x + 7 = 9 × 3
- M1: 2x = 27 - 7
- A1: x = 10
Answer: 10[3 marks] - 4
Question 4. Triangle ABC is isosceles.
AB = AC = 10 cm
Angle BAC = 40^°
Work out the area of triangle ABC.
Give your answer to 1 decimal place.Using the Area Rule with Isosceles Triangles▶ Show worked answerHide worked answer
- M1: 1/2 × 10 × 10 × sin 40^°
- A1: 32.1
Answer: 32.1 cm²[2 marks] - 5
Question 5. The cumulative frequency graph gives information about the heights, in cm, of 80 seedlings.
Use the graph to find an estimate for the interquartile range of the heights.Cumulative Frequency Median & IQR▶ Show worked answerHide worked answer
- M1: reads the lower quartile at a cumulative frequency of 20 (24 cm) and the upper quartile at 60 (40 cm)
- A1: 40 - 24 = 16 cm (accept 14 to 18)
Answer: 16 cm (accept 14 to 18)[2 marks]