CIE Mathematics Paper-1: Specimen Questions 61 - 63 of 175

Question number: 61

Short Answer Question▾

Write in Short

(a) Solve y=4uv3v and find the value of y when u=3 and v=2.

(b) Factorize 4uv3v .

Explanation

Here,

(a) y=4uv3v

Now, put u=3 and v=2 in equation.

So, y=4(3)(2)3(2)=246

y=30 .

(b) An integer that divides into another integer exactly is called a Factor.

So, Factorization is a method of writing numbers as the product of their factors or divisors.

So, we can factorize 4uv3v as below:

4uv3v=v(4u3).

Question number: 62

Short Answer Question▾

Write in Short

Solve 324÷18 as a single fraction.

Explanation

Here,

324÷18

144÷18

72÷18

72×81

7×4

28

Question number: 63

Essay Question▾

Describe in Detail

Solve 0.0000164

(a) In standard form,

(b) Correct to 1 significant figures,

(c) Correct to 6 decimal places

Explanation

Here, number is 0.0000164

(a) For making standard form of 0.0000164 we need to shift the decimal point left to right five times which will give: 1.64×100000=1.64×105 .

(b) We need to correct 0.0000164 to 1 significant figures (all non-zero digits are called as significant figures) which can be: 0.00002 because here after digit 1 there is 6 which is greater than 5, so 1 will get round up and be 2.

(C) We need to correct 0.0000164 to 6 decimal places which can be: 0.000016 in which we have to consider six numbers after decimal point and the sixth number will be round up on the basis of seventh number.

Here, it means if seventh number is not 5 or more than 5 so sixth number will be as it is.

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