Mixed Topic Worksheet Grades 4/5: Day 087
- 1
Question 1. The diagram shows a semicircle.
(a) Write down the name of the straight edge of the semicircle. [1]
(b) Write down the name of the curved edge of the semicircle. [1]Key Circle Terms▶ Show worked answerHide worked answer
- (a) B1: diameter
- (b) B1: arc
Answer: (a) diameter; (b) arc[2 marks] - 2
Question 2. The table gives information about the masses, in kg, of 28 parcels.
The frequency polygon has been drawn wrongly.
Write down one thing that is wrong with it.Identifying Mistakes with Frequency Polygons▶ Show worked answerHide worked answer
- B1: the axes are not labelled (frequency on the vertical axis, mass in kg on the horizontal axis)
Answer: The axes have no labels[1 mark] - 3
Question 3. Car A travels 135 miles using 15 litres of fuel.
Car B travels 100 miles using 12.5 litres of fuel.
Mia says that Car A is more fuel-efficient than Car B.
Is Mia correct?
You must show your working.Direct Proportion Problems▶ Show worked answerHide worked answer
- M1: 135 ÷ 15 = 9 miles per litre
- M1: 100 ÷ 12.5 = 8 miles per litre
- A1: Yes, 9 is greater than 8
Answer: Yes[3 marks] - 4
Question 4. The Venn diagram shows information about 32 students.
A is the set of students who study art.
B is the set of students who study music.
Work out n(A').Fundamentals of Venn Diagrams▶ Show worked answerHide worked answer
- M1: 7 + 9
- A1: 16
Answer: 16[2 marks] - 5
Question 5. The diagram shows a square and a rectangle.
The perimeter of the square is equal to the perimeter of the rectangle.
Work out the area of the square.Solving Harder Equations▶ Show worked answerHide worked answer
- M1: 4(x + 5) = 2(2x + 1 + x − 3) (perimeters equal)
- M1: 4x + 20 = 6x − 4
- M1: x = 12, side of square 17 cm
- A1: 289
Answer: 289 cm²[4 marks]
Mixed Topic Worksheet Grades 4/5: Day 087
- 1
Question 1. The diagram shows a semicircle.
[2 marks]
(a) Write down the name of the straight edge of the semicircle. [1]
(b) Write down the name of the curved edge of the semicircle. [1]Key Circle Terms▶ Show worked answerHide worked answer
- (a) B1: diameter
- (b) B1: arc
Answer: (a) diameter; (b) arc - 2
Question 2. The table gives information about the masses, in kg, of 28 parcels.
[1 mark]
The frequency polygon has been drawn wrongly.
Write down one thing that is wrong with it.Identifying Mistakes with Frequency Polygons▶ Show worked answerHide worked answer
- B1: the axes are not labelled (frequency on the vertical axis, mass in kg on the horizontal axis)
Answer: The axes have no labels - 3
Question 3. Car A travels 135 miles using 15 litres of fuel.
[3 marks]
Car B travels 100 miles using 12.5 litres of fuel.
Mia says that Car A is more fuel-efficient than Car B.
Is Mia correct?
You must show your working.Direct Proportion Problems▶ Show worked answerHide worked answer
- M1: 135 ÷ 15 = 9 miles per litre
- M1: 100 ÷ 12.5 = 8 miles per litre
- A1: Yes, 9 is greater than 8
Answer: Yes - 4
Question 4. The Venn diagram shows information about 32 students.
[2 marks]
A is the set of students who study art.
B is the set of students who study music.
Work out n(A').Fundamentals of Venn Diagrams▶ Show worked answerHide worked answer
- M1: 7 + 9
- A1: 16
Answer: 16 - 5
Question 5. The diagram shows a square and a rectangle.
[4 marks]
The perimeter of the square is equal to the perimeter of the rectangle.
Work out the area of the square.Solving Harder Equations▶ Show worked answerHide worked answer
- M1: 4(x + 5) = 2(2x + 1 + x − 3) (perimeters equal)
- M1: 4x + 20 = 6x − 4
- M1: x = 12, side of square 17 cm
- A1: 289
Answer: 289 cm²
Mixed Topic Worksheet Grades 4/5: Day 087
- 1
Question 1. The diagram shows a semicircle.
(a) Write down the name of the straight edge of the semicircle. [1]
(b) Write down the name of the curved edge of the semicircle. [1]Key Circle Terms▶ Show worked answerHide worked answer
- (a) B1: diameter
- (b) B1: arc
Answer: (a) diameter; (b) arc[2 marks] - 2
Question 2. The table gives information about the masses, in kg, of 28 parcels.
The frequency polygon has been drawn wrongly.
Write down one thing that is wrong with it.Identifying Mistakes with Frequency Polygons▶ Show worked answerHide worked answer
- B1: the axes are not labelled (frequency on the vertical axis, mass in kg on the horizontal axis)
Answer: The axes have no labels[1 mark] - 3
Question 3. Car A travels 135 miles using 15 litres of fuel.
Car B travels 100 miles using 12.5 litres of fuel.
Mia says that Car A is more fuel-efficient than Car B.
Is Mia correct?
You must show your working.Direct Proportion Problems▶ Show worked answerHide worked answer
- M1: 135 ÷ 15 = 9 miles per litre
- M1: 100 ÷ 12.5 = 8 miles per litre
- A1: Yes, 9 is greater than 8
Answer: Yes[3 marks] - 4
Question 4. The Venn diagram shows information about 32 students.
A is the set of students who study art.
B is the set of students who study music.
Work out n(A').Fundamentals of Venn Diagrams▶ Show worked answerHide worked answer
- M1: 7 + 9
- A1: 16
Answer: 16[2 marks] - 5
Question 5. The diagram shows a square and a rectangle.
The perimeter of the square is equal to the perimeter of the rectangle.
Work out the area of the square.Solving Harder Equations▶ Show worked answerHide worked answer
- M1: 4(x + 5) = 2(2x + 1 + x − 3) (perimeters equal)
- M1: 4x + 20 = 6x − 4
- M1: x = 12, side of square 17 cm
- A1: 289
Answer: 289 cm²[4 marks]