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Gambar dibawah ini untuk pertanyaan 1-5:

1. In which month is the greatest number of new members obtained?

The number of new members needs to be added for each month: February: 20+20+17+15+12=84 March: 22+19+17+14+11=83 April: 19+18+16+15+14=82 May: 21+18+17+15+11=82 June: 20+18+16+14+13=81 February has the greatest number (84) of new members obtained.

2. In April what percentage (to the nearest whole number) of the new members are Super?

The number of Super new members is 18. The total number of new members in April is 82. The percentage of new members in April that registered at Super is: 18/82x100=21.9̇5121̇%, this rounded to the nearest whole number is 22%.

3. Over the 5 month period, what is the average number of Deluxe new members per month?

Over 5 months there were 12+11+15+11+16=65 new members. The average number of Deluxe new members over the 5 month period is: 65/5=13.

4. In May, what is the ratio of Super new members to Off Peak new members?

The number of Super new members in May is 21. The number of Off Peak new members in May is 15. The ratio of Super new members to Off Peak new members is 21:15 which can be simplified to 7:5 by dividing both numbers by 3. The answer is (7:5).

5. What is the best approximation to the percentage increase in Standard new members between February and March?

The number of Standard new members in February is 20. The number of Standard new members in March is 22. There is a ²²⁻²⁰⁄₂₀×100=10% percentage increase in Standard new members between February and March. The answer is (10%).

Gambar dibawah ini untuk pertanyaan 6-10:

6. Which company’s shares contribute the greatest value to the portfolio on 1st January?

The contribution value is calculated by multiplying the number of shares by the price per share. This is done for each company taking the price per share at 1st Jan: Media: 8,000×250p=£20,000 Insurance: 6,500×350p=£22,750 Retail: 9,000×440p=£39,600 Energy: 13,500×300p=£40,500 Leisure: 20,000×190p=£38,000 The shares of Energy contribute the greatest values to the portfolio on the 1st January. The answer is (Energy).

7. Which company produced the greatest percentage increase in the price per share over the year?

The price per share at 1st Jan and 31st Dec for each company is needed for the calculations. The percentage increases in the price per share for each company are as follows: Media: ²⁹⁰⁻²⁵⁰⁄₂₅₀×100=16% Insurance: ³⁸⁰⁻³⁵⁰⁄₃₅₀×100=8.6% Retail: ⁵¹⁰⁻⁴⁴⁰⁄₄₄₀×100=15.9% Energy: ³⁵⁵⁻³⁰⁰⁄₃₀₀×100=18.3% Leisure: ²³⁰⁻¹⁹⁰⁄₁₉₀×100=21.1% Leisure produced the greatest percentage increase in the price per share over the year. The answer is (Leisure).

8. In June, half of the shares in Insurance are sold at 402p per share. The money received is reinvested in the same company on 31st December. How many shares does the client hold in Insurance at the end of the year?

Half the number of shares: 6,500÷2=3,250. Proceeds from half of the shares: 3,250×402p=130,6500p. The number of shares bought on the 31st December: 130,6500p÷380p=3,438.2≈3,438. The total number of Insurance shares (held all year + bought on the 31st Dec): 3,250+3,438=6,688. The answer is (6,688).

9. Between 1st January and 1st May the share price of Retail falls by 10%. What percentage increase in the price per share takes place between 1st May and 31st December?

A fall of 10% in the price per share means that on the 1st May shares are worth 90% of their value on the 1st January: 90% of 440p=0.9×440p=396p. The price per share in Retail on the 1st May is 396p. The price per share in Retail on the 31st December is 510p. The percentage change between 1st May and 31st December in the price per share is: ⁵¹⁰⁻³⁹⁶⁄₃₉₆×100=28.78%. The answer is (28.78%).

10. Which of the following ratios best represents the ratio of the number of shares held in Retail and in Energy on 1st January?

The number of shares held in Retail on the 1st January is 9,000. The number of shares held in Energy on the 1st January is 13,500. The ratio of the number of shares held in Retail and in Energy on the 1st January is: 9,000:13,500 which simplified (both numbers divided by 4,500) is the same as 2:3. The answer is (2:3).

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