IGCSE Mathematics Paper-1: Specimen Questions with Answers 159 - 161 of 175

Question number: 159

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Essay Question▾

Describe in Detail

Solve:

A trapezoid made by different length lines

A Trapezoid Made by Different Length Lines

Solve:

(a) The perimeter,

(b) The area.

Explanation

Here,

(a) A perimeter can find by adding the length of all shapes or boundaries.

So, here, perimeter =

Where, AB = 18 cm, BC = 14 cm, CD = 12 cm, DA = 14 cm.

So, Perimeter =

(b) Area of Trapezoid ABCD = , where, a and b = two parallel sides, h = height.

So, here, a = 12 cm, b = 18 cm and h = 12 cm.

So, Area A =

Question number: 160

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Essay Question▾

Describe in Detail

Solve

A geometrical shape made by lines

A Geometrical Shape Made by Lines

Find out:

(a) The perimeter,

(b) The area.

Explanation

Here,

A geometrical shape made by different length lines

A Geometrical Shape Made by Different Length Lines

(a) A perimeter can find by adding the length of all shapes or boundaries.

So, here, perimeter =

Where, AB = 10 cm, BC = 22 cm, CD = 10 – 6 = 4 cm, DE = 22 – 14 = 8 cm, EF = 6 cm, FA = 14 cm.

So, Perimeter =

(b) Area of ABCDEF = Area of ABGF (rectangle) + Area of EGCD (rectangle)

So, area of ABGF =

Now, area of EGCD =

So, .

Question number: 161

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Essay Question▾

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There is a sale of 60 % discount on a shop of clothes. Vicky bought shirts of 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 and sale is of 60 %.

So, he saved.

So, he paid .

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

So, , so he will saved more than saved in 60 % discount.

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