CIE Mathematics Paper-1: Specimen Questions 113 - 115 of 175

Question number: 113

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Grina plots a scatter diagram of speed against time taken. As the time taken increases, speed decreases. Which one of the following types of correlation will her scatter graph show?

Positive Negative Zero

Explanation

Here, as the time taken increases, speed decreases, scatter diagram will be shown as below:

 the time taken increases, speed decreases, scatter diagram

the time taken increases, speed decreases, scatter diagram

Graph is disply in detail.

So, it shows the negative correlation because it shows the negative gradient.

Question number: 114

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Mention order of rotational symmetry of given equilateral triangle.

The blank triangle is given.

The blank triangle is given.

Find the order of rotational symmetry of given question figure

Explanation

Here, The order of rotational symmetry is that an object has the number of times that it fits on to itself during a full rotation of 360 degrees.

  • So, here triangle is equilateral means it’s all angles and sides are equal.
  • So, it will fit in itself three times during rotation of 360 degrees.
  • So, order of symmetry of given triangle is 3.

Question number: 115

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(a) If y=2x26x36 , find the value of y when x=2 .

(b) Factorize 2x26x36 .

Explanation

Here,

(a) y=2x26x36

Now, put x=2 in equation.

So, y=2(2)26(2)36=2(4)6(2)36=8+1236

y=16 .

(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 2x26x36 as below:

2x26x36=2(x23x18)=2(x26x+3x18)=2(x(x6)+3(x6))

=2(x6)(x+3) .

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