Mixed Topic Worksheet Grades 4/5: Day 071
- 1
Question 1. Work out 15.4 - 6.82
Subtracting Decimals▶ Show worked answerHide worked answer
- M1: 15.40 - 6.82 (points in line)
- A1: 8.58
Answer: 8.58[2 marks] - 2
Question 2. Factorise fully 12ab² - 18a²b
Factorising Single Brackets▶ Show worked answerHide worked answer
- M1: a correct common factor such as 6a or 6b or ab
- A1: 6ab(2b - 3a)
Answer: 6ab(2b - 3a)[2 marks] - 3
Question 3. ABC is a right-angled triangle.
Calculate the length of AC.Using Pythagoras to Find a Hypotenuse▶ Show worked answerHide worked answer
- M1: 7² + 24²
- M1: √7² + 24² = √625
- A1: 25 cm
Answer: 25 cm[3 marks] - 4
Question 4. BD is parallel to CE.
AB = 4 cm
BC = 5 cm
Work out the scale factor of the enlargement that maps triangle ABD onto triangle ACE.Calculating Scale Factor▶ Show worked answerHide worked answer
- M1: AC = 4 + 5 = 9 and 9 ÷ 4
- A1: 2.25
Answer: 2.25[2 marks] - 5
Question 5. The straight line mathbfL has equation y = 6x - 11
The point A has coordinates (2, -5)
Find an equation of the straight line that is parallel to mathbfL and passes through A.Properties of Parallel Lines▶ Show worked answerHide worked answer
- M1: gradient 6 and -5 = 6 × 2 + c
- A1: y = 6x - 17
Answer: y = 6x - 17[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 071
- 1
Question 1. Work out 15.4 - 6.82
[2 marks]Subtracting Decimals▶ Show worked answerHide worked answer
- M1: 15.40 - 6.82 (points in line)
- A1: 8.58
Answer: 8.58 - 2
Question 2. Factorise fully 12ab² - 18a²b
[2 marks]Factorising Single Brackets▶ Show worked answerHide worked answer
- M1: a correct common factor such as 6a or 6b or ab
- A1: 6ab(2b - 3a)
Answer: 6ab(2b - 3a) - 3
Question 3. ABC is a right-angled triangle.
[3 marks]
Calculate the length of AC.Using Pythagoras to Find a Hypotenuse▶ Show worked answerHide worked answer
- M1: 7² + 24²
- M1: √7² + 24² = √625
- A1: 25 cm
Answer: 25 cm - 4
Question 4. BD is parallel to CE.
[2 marks]
AB = 4 cm
BC = 5 cm
Work out the scale factor of the enlargement that maps triangle ABD onto triangle ACE.Calculating Scale Factor▶ Show worked answerHide worked answer
- M1: AC = 4 + 5 = 9 and 9 ÷ 4
- A1: 2.25
Answer: 2.25 - 5
Question 5. The straight line mathbfL has equation y = 6x - 11
[2 marks]
The point A has coordinates (2, -5)
Find an equation of the straight line that is parallel to mathbfL and passes through A.Properties of Parallel Lines▶ Show worked answerHide worked answer
- M1: gradient 6 and -5 = 6 × 2 + c
- A1: y = 6x - 17
Answer: y = 6x - 17
Mixed Topic Worksheet Grades 4/5: Day 071
- 1
Question 1. Work out 15.4 - 6.82
Subtracting Decimals▶ Show worked answerHide worked answer
- M1: 15.40 - 6.82 (points in line)
- A1: 8.58
Answer: 8.58[2 marks] - 2
Question 2. Factorise fully 12ab² - 18a²b
Factorising Single Brackets▶ Show worked answerHide worked answer
- M1: a correct common factor such as 6a or 6b or ab
- A1: 6ab(2b - 3a)
Answer: 6ab(2b - 3a)[2 marks] - 3
Question 3. ABC is a right-angled triangle.
Calculate the length of AC.Using Pythagoras to Find a Hypotenuse▶ Show worked answerHide worked answer
- M1: 7² + 24²
- M1: √7² + 24² = √625
- A1: 25 cm
Answer: 25 cm[3 marks] - 4
Question 4. BD is parallel to CE.
AB = 4 cm
BC = 5 cm
Work out the scale factor of the enlargement that maps triangle ABD onto triangle ACE.Calculating Scale Factor▶ Show worked answerHide worked answer
- M1: AC = 4 + 5 = 9 and 9 ÷ 4
- A1: 2.25
Answer: 2.25[2 marks] - 5
Question 5. The straight line mathbfL has equation y = 6x - 11
The point A has coordinates (2, -5)
Find an equation of the straight line that is parallel to mathbfL and passes through A.Properties of Parallel Lines▶ Show worked answerHide worked answer
- M1: gradient 6 and -5 = 6 × 2 + c
- A1: y = 6x - 17
Answer: y = 6x - 17[2 marks]