IGCSE Mathematics Paper-1: Specimen Questions with Answers 59 - 61 of 324
Question 59
Write in Short
Short Answer▾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) ) .
.
Question 60
Describe in Detail
Essay▾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,
Question 61
Write in Short
Short Answer▾(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: