Solution:
25/9 = 2 + ?/9
25/9 = 18/9 + ?/9
25/9 = (18 + ?)/9
25 = 18 + ?
? = 25 – 18
? = 7
Therefore, the value of the question mark is 7.
Question 2
Find the perimeter of the whole rectangle, given that all the internal shapes are squares.
Solution:
Perimeter = Sum of length of sides of the rectangle.
= 24cm +(6cm + 4cm) + 24cm +(6cm + 4cm)
=(24 + 10 + 24 + 10) cm
= 68cm
Therefore, the perimeter of the whole rectangle is 68cm.
Question 3
Calculate: 124.8 + 3.79 – 19.59
Solution:
124.8 + 3.79 – 19.59 = 124.8 + 3.79 – 19.59
= 128.59 – 19.59
= 109
Therefore, the answer is 109.
Question 4
A vegetable patch is used to grow three vegetables: Carrot, Cabbage and Potatoes. The Cabbage make up 1/6 of the patch and Carrots make up 5/8 of the patch. What fraction of the vegetable patch is used for potatoes?
Solution:
The fraction of the vegetable patch used for potatoes is 1 – (1/6 + 5/8)
= 1 – (4/24 + 15/24)
= 1 – 19/24
= 5/24
Therefore, the fraction of the vegetable patch used for potatoes is 5/24.
Question 5
An isosceles triangle is shown below.
What is the angle labelled A?
Solution:
The given angle is 290°.
Total angle is 360°. So, the angle of triangle is 360° – 290° = 70°.
It is given that the triangle is isosceles, so the other two angles are equal.
Total angle of a triangle is 180°.
So, the other two angles are (180° – 70°)/2 = 55°.
The angle labelled A is 360° – 55° = 305°.
Therefore, the angle labelled A is 305°.
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