IGCSE Mathematics Paper-1: Specimen Questions with Answers 105 - 109 of 175

Explanation

Here,

, so here, we need same fraction in right side as left side.

So,

Explanation

Here, equation is

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Short Answer Question▾

Write in Short

The diagram shows a regular octagon and a rectangle. Calculate the values of .

Explanation

Here, octagon is regular.

So, we can find it’s exterior angle by using the formula , where n = number of sides.

In octagon number of sides = 8, so exterior angle =

So, as shown in figure, its interior angle .

Now, for angle :

(I) As shown in figure:

OR

(II) As shown in figure, total angle is , so

Explanation

Here,

(a) First statement is

• So, and . So, .
• So,

(b) Second statement is .

• So,
• So,

Explanation

Here,

(a) (i) Number 782 correct to one significant figure will be: because in the number after 7 there is 8 which is greater than 5 so 7 will be increased by 1 and be 8 which is significant figure while both 0s are at left side of decimal point which are not significant.

Number 44 correct to one significant figure will be: 40, where 4 is significant figure while 0 is at left side of decimal point which is not significant.

So,

(ii) Answer of will be 20 which is estimate value of

(b) Calculation of will be: 17.77.

Now, 17.77 correct it to three significant figures: 17.8 where 1,7 and 8 are significant.