Exam Questions

3) The number of people at last Saturday’s Norchester City game was 12400. Season ticket holders made up 3/8 of the crowd. How many season ticket holders were there?

To find the number of season ticket holders, we calculate ( \frac{3}{8} \times 12400 = 4650 ). Therefore, there were 4,650 season ticket holders.

4) Write the following in order of size, starting with the smallest. 65% 2/3 0.065 33/50 0.0, 65%, \frac{2}{3}, \frac{33}{50}. To compare these values, we will convert them to decimals: 0.0, 0.065, 0.66 (for 2/3), 0.66 (for 33/50), and 0.65. As a result, the order from smallest to largest is: 0.0, 0.065, 65%, 2/3, 33/50.

5) Work out the following, giving your answers as mixed numbers in their simplest form:

a) 1 1/8 × 2 2/5 = 108/40

b) 1 ¾ divided by 7/9 = 7/4 × 9/7 = 63/28, which simplifies to 9/4 or 2 1/4.

6) Bilal, Eli, Ruth and Jenny split the bill at a restaurant. Bilal pays ¼ of the bill and Eli and Ruth each pay 20% of the bill. Jenny pays £17.50. How much was the bill in total?

To find the total bill, we can set up the equation as follows:

• Let the total bill be represented as x.

• Bilal pays: ( \frac{1}{4}x )

• Eli pays: ( 0.20x )

• Ruth pays: ( 0.20x )

• Jenny pays: £17.50

Therefore, the equation becomes:
( \frac{1}{4}x + 0.20x + 0.20x + 17.50 = x ).

By solving this equation, we can determine the total amount of the bill. To find x, we first combine like terms and isolate x on one side of the equation.