CIE Mathematics Paper-1: Specimen Questions 8 - 9 of 175

Question number: 8

Short Answer Question▾

Write in Short

Write 0.00578

(a) In standard form,

(b) Correct to 2 significant figures,

(c) Correct to 2 decimal places

Explanation

Here, number is 0.00578

(a) For making standard form of 0.00578 we need to shift the decimal point left to right three times which will give: 5.78×1000=5.78×103 .

(b) We need to correct 0.00578 to 2 significant figures (all non-zero digits are called as significant figures) which can be: 0.0058 because here after digit 7 there is 8 which is greater than 5, so 7 will get round up and be 8.

(C) We need to correct 0.00578 to 2 decimal places which can be: 0.01 in which we have to consider two numbers after decimal point and the second number will be round up on the basis of third number.

Here, it means if third number is 5 or more than 5 then second number will be round up and be 1 from 0.

Question number: 9

Short Answer Question▾

Write in Short

A United Kingdom £5 Coin is a cylinder with a diameter of 38.61 millimeters and a thickness of 2.89 millimeters. Calculate, in cubic millimeters, the volume of the coin.

[The volume of a cylinder, radius r, height h, is πr2h . ]

A United Kingdom £5 Coin

A United Kingdom £5 Coin

Showing the United Kingdom £5 Coin with diameter of 38.61 millimeters and a thickness of 2.89 millimeters

Explanation

Here, coin is having the shape like a cylinder with a diameter of 38.61 millimeters and a thickness of 2.89 millimeters.

We need to find the volume of the coin, so formula of a cylinder: πr2h , which is given,

Where r=radius=diameter2=38.612=19.305mm.

So, volume of coin = 3.14×19.3052×2.89=3381.95mm3

Share