CIE Mathematics Paper-1: Specimen Questions 161 - 163 of 175

Question number: 161

Essay Question▾

Describe in Detail

There is a sale of 60 % discount on a shop of clothes. Vicky bought shirts of £30 in this sale.

(a) How much did Vicky paid?

(b) The next day, all items were sold at 70 % of the original price. How much more would Vicky have saved if he had waited until the next day to buy the shirts?

Explanation

Here,

(a) Price of shirts is £30 and sale is of 60 %.

So, 30×60100=18£ he saved.

So, he paid 3018=12£ .

(b) Next day, all items were sold at 70 % of the original price.

So, 30×70100=21£ , so he will saved 2118=3£ more than saved in 60 % discount.

Question number: 162

Short Answer Question▾

Write in Short

Solve the simultaneous equations 3a+2b=7anda2b=5.

Explanation

Here,

Simultaneous equations are those who have the unique solutions.

Equations are 3a+2b=7(I)

a2b=5(II)

Now, add equation (II) into (I),

3a+2b+a2b=7+5

4a=12

a=3

Now, put a=3 into a2b=5.

So, 32b=52b=2b=1

Thus, a=3andb=1.

Question number: 163

Short Answer Question▾

Write in Short

In the right-angled triangle ABC, AC = 10 meters and angle AB=350 . Calculate the length of BC.

A right angled triangle has an angle and length of diagonal

A right angled triangle has an angle and length of diagonal

Find the length of a side BC of triangle ABC by using given values

Explanation

Here, triangle ABC is right angled triangle,

Angle CAB=350 and AC = 10 m is given,

So, sin350=BCAC0.57=BC10BC=5.7m.

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