IGCSE Mathematics Paper-1: Specimen Questions with Answers 42 - 44 of 324

Question 42

Describe in Detail

Essay▾

Solve:

(a) Mark the point with co-ordinates (2,5) and label it A.

(b) Find co-ordinates of the point B.

(c) Find the gradient of the line.

Explanation

Here,

(a) Here, point is (x, y) = (2,5) which can place in diagram as below:

(b) Here, point B is in second quarter of coordinate plane which gives minus value of x and plus value of y means (-x, y) .

• So, point B (-x, y) = B (-1,2) .

(c) Here, gradient of a line is also known as slope of the line.

• For finding slop we need two point of line. So take A (2,5) and B (-1,2)
• Now, formula for slope = .

Question 43

Write in Short

Mike spends on grocery. This amount is of his allowance. Calculate his allowance.

Explanation

Here, is of his allowance, so take allowance is x.

So,

Question 44

Write in Short

The points P and Q are marked on the diagram.

(a) Write as a column vector.

(b) . Write down the co-ordinates of R.

Explanation

Here, as shown in figure,

(a) Here, Point P = (-4,3) and point Q = (-5, -4)

So, for vector of , so as a column vector:

(b) Here, , so as a row vector we can write as (4, -3) , let take co-ordinate of R = (x, y) and

P (-4,3) is given.

So,

So, R (x, y) = R (0,0)

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