CIE Mathematics Paper-1: Specimen Questions 94 - 97 of 175

Question number: 94

Short Answer Question▾

Write in Short

A newly developed company earns less profit in starting, then as per year passes it started to earn more profit, then how it would show correlation on scatter diagram.

Positive Negative Zero

Explanation

Here, as year passes Company started to earn more profit means as time increases profit also increases as shown in below diagram.

Company started to earn more profit means as time

Company started to earn more profit means as time

A graph display in detail

So, it shows the positive correlation because it shows the positive gradient.

Question number: 95

Short Answer Question▾

Write in Short

(a) Write down common multiples of 18 and 24

(b) Solve 1512924

Give your answer as a fraction in its lowest terms.

Explanation

Here,

(a) We need to find common multiple of 18 and 24.

So, 18=3×3×2and24=3×2×2×2

So, here common multiples are 3 and 2.

(b) Here, 1512924=5×34×33×38×3=5438=1038=78 .

Question number: 96

Short Answer Question▾

Write in Short

ind value of (112)2 as a fraction.

Explanation

Here, (112)2=(32)2=(23)2=49.

Question number: 97

Essay Question▾

Describe in Detail

Mica buys a box of 40 apples for $10. He sells all the apples in the market for 45 cents each.

(a) Calculate the profit he makes.

(b) Calculate the percentage profit he makes on the cost price.

Explanation

Here, 40apples=$10

(a) He sells as 45 cent per 1 apple.

As we know 1 dollar = 100 cent

So, 10 dollars =? cent

So, 10×100=1000cents.

So, Mica buys 40 apples for 1000 cents (Cost price) and sells 40×45=1800cents (Selling Price).

So, profit=SPCP=18001000=800cents=8$

(b) Percentage of profit of cost price (1000) =800×1001000=80%

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