Mixed Topic Worksheet Grades 4/5: Day 051
- 1
Question 1. In the diagram, AB is parallel to CD.
(a) Work out the size of the angle marked x. [1]
(b) Give a reason for your answer. [1]Alternate Angles▶ Show worked answerHide worked answer
- (a) B1: x = 66^°
- (b) B1: alternate angles are equal
Answer: (a) 66^°; (b) alternate angles are equal[2 marks] - 2
Question 2. Convert 5000 mm³ to cm³.
Volume Conversions▶ Show worked answerHide worked answer
- M1: 5000 ÷ (10 × 10 × 10)
- A1: 5
Answer: 5 cm³[2 marks] - 3
Question 3. Write dfrac56 as an equivalent fraction with denominator 18.
Common Denominators▶ Show worked answerHide worked answer
- M1: 18 ÷ 6 = 3
- A1: dfrac1518
Answer: dfrac1518[2 marks] - 4
Question 4. Work out the highest common factor (HCF) of 72 and 120.
Venn Diagram Method▶ Show worked answerHide worked answer
- M1: 72 = 2³ × 3²
- M1: 120 = 2³ × 3 × 5, with 2, 2, 2 and 3 in the overlap of the Venn diagram
- A1: 2³ × 3 = 24
Answer: 24[3 marks] - 5
Question 5. Work out the equation of the straight line through (1, 9) and (4, 3).
Equations of a Straight Line Using Two Points▶ Show worked answerHide worked answer
- M1: gradient dfrac3 - 94 - 1 = -2
- M1: 9 = -2 × 1 + c
- A1: y = -2x + 11
Answer: y = -2x + 11[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 051
- 1
Question 1. In the diagram, AB is parallel to CD.
[2 marks]
(a) Work out the size of the angle marked x. [1]
(b) Give a reason for your answer. [1]Alternate Angles▶ Show worked answerHide worked answer
- (a) B1: x = 66^°
- (b) B1: alternate angles are equal
Answer: (a) 66^°; (b) alternate angles are equal - 2
Question 2. Convert 5000 mm³ to cm³.
[2 marks]Volume Conversions▶ Show worked answerHide worked answer
- M1: 5000 ÷ (10 × 10 × 10)
- A1: 5
Answer: 5 cm³ - 3
Question 3. Write dfrac56 as an equivalent fraction with denominator 18.
[2 marks]Common Denominators▶ Show worked answerHide worked answer
- M1: 18 ÷ 6 = 3
- A1: dfrac1518
Answer: dfrac1518 - 4
Question 4. Work out the highest common factor (HCF) of 72 and 120.
[3 marks]Venn Diagram Method▶ Show worked answerHide worked answer
- M1: 72 = 2³ × 3²
- M1: 120 = 2³ × 3 × 5, with 2, 2, 2 and 3 in the overlap of the Venn diagram
- A1: 2³ × 3 = 24
Answer: 24 - 5
Question 5. Work out the equation of the straight line through (1, 9) and (4, 3).
[3 marks]Equations of a Straight Line Using Two Points▶ Show worked answerHide worked answer
- M1: gradient dfrac3 - 94 - 1 = -2
- M1: 9 = -2 × 1 + c
- A1: y = -2x + 11
Answer: y = -2x + 11
Mixed Topic Worksheet Grades 4/5: Day 051
- 1
Question 1. In the diagram, AB is parallel to CD.
(a) Work out the size of the angle marked x. [1]
(b) Give a reason for your answer. [1]Alternate Angles▶ Show worked answerHide worked answer
- (a) B1: x = 66^°
- (b) B1: alternate angles are equal
Answer: (a) 66^°; (b) alternate angles are equal[2 marks] - 2
Question 2. Convert 5000 mm³ to cm³.
Volume Conversions▶ Show worked answerHide worked answer
- M1: 5000 ÷ (10 × 10 × 10)
- A1: 5
Answer: 5 cm³[2 marks] - 3
Question 3. Write dfrac56 as an equivalent fraction with denominator 18.
Common Denominators▶ Show worked answerHide worked answer
- M1: 18 ÷ 6 = 3
- A1: dfrac1518
Answer: dfrac1518[2 marks] - 4
Question 4. Work out the highest common factor (HCF) of 72 and 120.
Venn Diagram Method▶ Show worked answerHide worked answer
- M1: 72 = 2³ × 3²
- M1: 120 = 2³ × 3 × 5, with 2, 2, 2 and 3 in the overlap of the Venn diagram
- A1: 2³ × 3 = 24
Answer: 24[3 marks] - 5
Question 5. Work out the equation of the straight line through (1, 9) and (4, 3).
Equations of a Straight Line Using Two Points▶ Show worked answerHide worked answer
- M1: gradient dfrac3 - 94 - 1 = -2
- M1: 9 = -2 × 1 + c
- A1: y = -2x + 11
Answer: y = -2x + 11[3 marks]