Edexcel GCSE Maths: Number

A bracelet increases in value by $8\%$8% in the first year and by a further $5\%$5% in the second year. After these two increases the bracelet is worth £680.40.

(a) Work out the value of the bracelet at the start of the first year. (3 marks)

(b) A different bracelet was bought for £500. Its value increases by $4\%$4% compound interest each year. Work out its value after 3 years. (2 marks)

(a) Write $360$360 as a product of its prime factors, giving your answer in index form. (2 marks)

(b) Find the highest common factor (HCF) and the lowest common multiple (LCM) of $360$360 and $84$84. (2 marks)

(a) Show that

$2\frac{2}{3} \div 1\frac{1}{5} = 2\frac{2}{9}.$232​÷151​=292​. (3 marks)

(b) Work out $\dfrac{5}{6} - \dfrac{3}{8}$65​−83​, giving your answer as a fraction in its simplest form. (1 mark)

A square has an area of $48\ \text{cm}^2$48 cm2.

Show that the exact length of one side of the square is $4\sqrt{3}\ \text{cm}$43​ cm, and find the exact perimeter of the square, giving your answer in the form $a\sqrt{3}\ \text{cm}$a3​ cm. (3 marks)

A rectangle has length $12.4\ \text{cm}$12.4 cm and width $7.5\ \text{cm}$7.5 cm. Both measurements are given correct to the nearest $0.1\ \text{cm}$0.1 cm.

Work out the upper bound for the area of the rectangle. (2 marks)

Write $0.0042$0.0042 in standard form. (1 mark)