IGCSE Mathematics Paper-1: Specimen Questions with Answers 59 - 61 of 324

Write down the equation of the straight line through which is parallel to .

Explanation

Here, straight line through is parallel to , which has slope m = 4, by comparing to y = mx + c.

So, the parallel lines always have same slope…… (I)

So, we can find equation for straight line passing through point by using:

, where, and m = 4… (from (I) ) .

.

Kavya bought 24 books at a cost of . She sold 18 books at per book and 6 books at per book.

(a) Calculate the profit or loss she made.

(b) Calculate this profit or loss as a percentage of the original cost.

Explanation

Here, Kavya bought 24 books at a cost of .

So, cost price CP =

Now, she sold 18 books at per book:

She sold 6 books at per book:

So, total selling prices SP =

(a) Here, selling price is less than cost price, so she made loss.

(b) Percentage of loss of the original cost :

So,

Then,

(a) Solve and find the value of y when and

(b) Factorize .

Explanation

Here,

(a)

Now, put and in equation.

So,

.

(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 as below: