Mixed Topic Worksheet Grades 4/5: Day 009
- 1
Question 1. Hana invests some money at 4% simple interest per year.
After 3 years she has earned £96 interest.
Work out how much she invested.Simple Interest▶ Show worked answerHide worked answer
- M1: interest each year = 96 / 3 = 32
- M1: 32 / 0.04
- A1: £800
Answer: £800[3 marks] - 2
Question 2. Work out 120% of 250.
Percentages Greater than 100▶ Show worked answerHide worked answer
- M1: 10% = 25, so 20% = 50
- A1: 300
Answer: 300[2 marks] - 3
Question 3. Here is a line PQ.
Use ruler and compasses to construct an angle of 60^° at P.
You must show all your construction lines.Drawing a 60° Angle▶ Show worked answerHide worked answer
- M1: arc centred on P cutting PQ at X, then an arc of the same radius centred on X crossing the first arc at Y
- A1: line from P through Y, making an angle of 60^° with PQ, to within 2 degrees
Answer: An angle of 60^° at P: a line from P through the crossing of two arcs of equal radius[2 marks] - 4
Question 4. The graph of y = x² - 36 crosses the x-axis at two points. Work out the x-coordinates of these two points.
x-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: x² - 36 = 0, so x² = 36
- A1: x = 6 and x = -6
Answer: x = 6 and x = -6[2 marks] - 5
Question 5. Factorise x² - 12x + 36
Factorising Double Brackets▶ Show worked answerHide worked answer
- M1: (-6) × (-6) = 36 and (-6) + (-6) = -12
- A1: (x - 6)(x - 6) or (x - 6)²
Answer: (x - 6)²[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 009
- 1
Question 1. Hana invests some money at 4% simple interest per year.
[3 marks]
After 3 years she has earned £96 interest.
Work out how much she invested.Simple Interest▶ Show worked answerHide worked answer
- M1: interest each year = 96 / 3 = 32
- M1: 32 / 0.04
- A1: £800
Answer: £800 - 2
Question 2. Work out 120% of 250.
[2 marks]Percentages Greater than 100▶ Show worked answerHide worked answer
- M1: 10% = 25, so 20% = 50
- A1: 300
Answer: 300 - 3
Question 3. Here is a line PQ.
[2 marks]
Use ruler and compasses to construct an angle of 60^° at P.
You must show all your construction lines.Drawing a 60° Angle▶ Show worked answerHide worked answer
- M1: arc centred on P cutting PQ at X, then an arc of the same radius centred on X crossing the first arc at Y
- A1: line from P through Y, making an angle of 60^° with PQ, to within 2 degrees
Answer: An angle of 60^° at P: a line from P through the crossing of two arcs of equal radius - 4
Question 4. The graph of y = x² - 36 crosses the x-axis at two points. Work out the x-coordinates of these two points.
[2 marks]x-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: x² - 36 = 0, so x² = 36
- A1: x = 6 and x = -6
Answer: x = 6 and x = -6 - 5
Question 5. Factorise x² - 12x + 36
[2 marks]Factorising Double Brackets▶ Show worked answerHide worked answer
- M1: (-6) × (-6) = 36 and (-6) + (-6) = -12
- A1: (x - 6)(x - 6) or (x - 6)²
Answer: (x - 6)²
Mixed Topic Worksheet Grades 4/5: Day 009
- 1
Question 1. Hana invests some money at 4% simple interest per year.
After 3 years she has earned £96 interest.
Work out how much she invested.Simple Interest▶ Show worked answerHide worked answer
- M1: interest each year = 96 / 3 = 32
- M1: 32 / 0.04
- A1: £800
Answer: £800[3 marks] - 2
Question 2. Work out 120% of 250.
Percentages Greater than 100▶ Show worked answerHide worked answer
- M1: 10% = 25, so 20% = 50
- A1: 300
Answer: 300[2 marks] - 3
Question 3. Here is a line PQ.
Use ruler and compasses to construct an angle of 60^° at P.
You must show all your construction lines.Drawing a 60° Angle▶ Show worked answerHide worked answer
- M1: arc centred on P cutting PQ at X, then an arc of the same radius centred on X crossing the first arc at Y
- A1: line from P through Y, making an angle of 60^° with PQ, to within 2 degrees
Answer: An angle of 60^° at P: a line from P through the crossing of two arcs of equal radius[2 marks] - 4
Question 4. The graph of y = x² - 36 crosses the x-axis at two points. Work out the x-coordinates of these two points.
x-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: x² - 36 = 0, so x² = 36
- A1: x = 6 and x = -6
Answer: x = 6 and x = -6[2 marks] - 5
Question 5. Factorise x² - 12x + 36
Factorising Double Brackets▶ Show worked answerHide worked answer
- M1: (-6) × (-6) = 36 and (-6) + (-6) = -12
- A1: (x - 6)(x - 6) or (x - 6)²
Answer: (x - 6)²[2 marks]