Mixed Topic Worksheet Grades 6/7: Day 020
- 1
Question 1. Ali puts money in an account paying 5% compound interest per year.
After 2 years the account holds £2205.
How much did Ali put in?Compound Interest▶ Show worked answerHide worked answer
- M1: multiplier 1.05² = 1.1025
- M1: 2205 / 1.1025
- A1: £2000
Answer: £2000[3 marks] - 2
Question 2. The numbers 5, 7, 8, 9, 11, 12, 13 are changed by replacing 13 with 40. Work out the change in the range and the change in the interquartile range.
Benefits of IQR & Range▶ Show worked answerHide worked answer
- M1: range 8 becomes 35; quartiles stay 7 and 12
- A1: range increases by 27
- B1: IQR stays 5, so change is 0
Answer: Range increases by 27; interquartile range does not change[3 marks] - 3
Question 3. Simplify fully dfracx² + 2x - 24x² - 5x + 4
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: numerator (x + 6)(x - 4)
- M1: denominator (x - 4)(x - 1)
- A1: dfracx + 6x - 1
Answer: dfracx + 6x - 1[3 marks] - 4
Question 4. Simplify √12 × √27
Six Laws of Surds▶ Show worked answerHide worked answer
- M1: √324 or 2√3 × 3√3
- A1: 18
Answer: 18[2 marks] - 5
Question 5. A=x : x² ≤ 30, x is an integer. Work out n(A).
Sets & Inequalities▶ Show worked answerHide worked answer
- M1: -5 ≤ x ≤ 5 (as 5²=25 and 6²=36)
- A1: 11
Answer: 11[2 marks]
Mixed Topic Worksheet Grades 6/7: Day 020
- 1
Question 1. Ali puts money in an account paying 5% compound interest per year.
[3 marks]
After 2 years the account holds £2205.
How much did Ali put in?Compound Interest▶ Show worked answerHide worked answer
- M1: multiplier 1.05² = 1.1025
- M1: 2205 / 1.1025
- A1: £2000
Answer: £2000 - 2
Question 2. The numbers 5, 7, 8, 9, 11, 12, 13 are changed by replacing 13 with 40. Work out the change in the range and the change in the interquartile range.
[3 marks]Benefits of IQR & Range▶ Show worked answerHide worked answer
- M1: range 8 becomes 35; quartiles stay 7 and 12
- A1: range increases by 27
- B1: IQR stays 5, so change is 0
Answer: Range increases by 27; interquartile range does not change - 3
Question 3. Simplify fully dfracx² + 2x - 24x² - 5x + 4
[3 marks]Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: numerator (x + 6)(x - 4)
- M1: denominator (x - 4)(x - 1)
- A1: dfracx + 6x - 1
Answer: dfracx + 6x - 1 - 4
Question 4. Simplify √12 × √27
[2 marks]Six Laws of Surds▶ Show worked answerHide worked answer
- M1: √324 or 2√3 × 3√3
- A1: 18
Answer: 18 - 5
Question 5. A=x : x² ≤ 30, x is an integer. Work out n(A).
[2 marks]Sets & Inequalities▶ Show worked answerHide worked answer
- M1: -5 ≤ x ≤ 5 (as 5²=25 and 6²=36)
- A1: 11
Answer: 11
Mixed Topic Worksheet Grades 6/7: Day 020
- 1
Question 1. Ali puts money in an account paying 5% compound interest per year.
After 2 years the account holds £2205.
How much did Ali put in?Compound Interest▶ Show worked answerHide worked answer
- M1: multiplier 1.05² = 1.1025
- M1: 2205 / 1.1025
- A1: £2000
Answer: £2000[3 marks] - 2
Question 2. The numbers 5, 7, 8, 9, 11, 12, 13 are changed by replacing 13 with 40. Work out the change in the range and the change in the interquartile range.
Benefits of IQR & Range▶ Show worked answerHide worked answer
- M1: range 8 becomes 35; quartiles stay 7 and 12
- A1: range increases by 27
- B1: IQR stays 5, so change is 0
Answer: Range increases by 27; interquartile range does not change[3 marks] - 3
Question 3. Simplify fully dfracx² + 2x - 24x² - 5x + 4
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: numerator (x + 6)(x - 4)
- M1: denominator (x - 4)(x - 1)
- A1: dfracx + 6x - 1
Answer: dfracx + 6x - 1[3 marks] - 4
Question 4. Simplify √12 × √27
Six Laws of Surds▶ Show worked answerHide worked answer
- M1: √324 or 2√3 × 3√3
- A1: 18
Answer: 18[2 marks] - 5
Question 5. A=x : x² ≤ 30, x is an integer. Work out n(A).
Sets & Inequalities▶ Show worked answerHide worked answer
- M1: -5 ≤ x ≤ 5 (as 5²=25 and 6²=36)
- A1: 11
Answer: 11[2 marks]