Question 1 :
The temperature at 12 noon was 10° C above zero.If it decreases at the rate of 2°C per hour until midnight, at what time would the temperature be 8°C below zero?
(A) 3 pm (B) 9 pm (C) 8 pm
Temperature at 12 noon = 10° C
Decreasing rate = 2°C per hour
Total fall of temperature from 10° C to 0° C and 0° C to 8° C = -10 - 8 = -18
Time taken = -18/2 = 9 hours
At 9 pm the temperature will be 8°C below zero.
Question 2 :
An elevator decends into a mine shaft at the rate of 6 m/min.If the decline starts from 10 m above the ground level. Calculate how long will it take to reach -350 m ?
(A) 1 hour (B) 5 hours (C) 2 hours
Starting position of mine shaft is 10 m above the ground but it moves in opposite direction.
So, it travels the distance (–350) m below the ground.
The total distance covered by mine shaft
= 10 m – (–350) m = 10 + 350 = 360 m
Now, time taken to cover a distance of 6 m by it
= (1/6) minute
Time taken to cover a distance of 360 m = (1/6) ⋅ 360
60 minutes = 1 hour
Thus, in one hour the mine shaft reaches –350 below the ground.
Question 3 :
How much less is 28 km than 46.2 km?
(A) 18.2 km (B) 14.6 km (C) 12.5 km
In order to find 28 km is how much less than 46.2 km, we have to perform subtraction.
46.2 - 28 = 18.2 km
Question 4 :
Solve 5p + 2 = 17
(A) p = 2 (B) p = 5 (C) p = 3
5p + 2 = 17
Subtract both sides by 2
5p = 17 - 2
5 p = 15
Divide both sides by 5
p = 15/5 = 3
So, the value of p is 3.
Question 5 :
When two lines l and m meet, we say they intersect, the meeting point is called the __________________
(A) Point of contact
(B) Point of intersection
(C) None of these
The meeting point of two lines is called the point of intersection.
Question 6 :
Find the value of x in the following triangle
(A) 50° (B) 70° (C) 80°
In a triangle, an exterior angle is equal to the sum of the interior opposite angles
x = <ABC + <ACB
x = 30 + 40
x = 70°
Question 7 :
The population of a city reduced from 25,000 to 24,500. Find the percentage decrease.
(A) 5% (B) 2% (C) 1%
Original population = 25000
Reduced population = 24500
Difference between old and new population
= 25000 - 24500
Decrease percentage = (500 / 25000) ⋅ 100
Question 8 :
A wire is in the shape of square of side 10 cm. If the wire is rebent in to a rectangle length 12 cm, calculate its width.
(A) 35% (B) 27% (C) 75%
Perimeter of square = Perimeter of rectangle
Side length of square a = 10 cm
4a = 4 (10) = 40
Perimeter of rectangle = 40
2 (l + w) = 40
2(12 + w) = 40
12 + w = 20
Subtract both sides by 12
w = 20 - 12 = 8 cm
Hence the width of rectangle is 8 cm.
Question 9 :
Two sides of a parallelogram ABCD are 6cm and 4cm. The height corresponding to the base of CD is 3 cm. Find the area of the parallelogram
(A) 7 cm2 (B) 15 cm2 (C) 18 cm2
Area of parallelogram ABCD = Base ⋅ Height
Area of parallelogram ABCD = 6(3)
= 18 cm2
Question 10 :
Diameter of a circular garden is 9.8 m. Calculate its area.
(A) 50 cm (B) 64 cm (C) 30 cm
Diameter of circular garden = 9.8 m
r = 9.8/2 = 4.9
Area of circular garden = πr2
= (22/7) (4.9)2
= 75.46 m2
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