Class 6_Unit 3_Maths_Sample Paper_1

The angle formed between the east and the north direction is___________

• a) 60°

• b) 80°

• c) 90°

• d) 180

A triangle can have _______ right angles.

• a) One

• b) Two

• c) Three

• d) None of these

Answer explanation

Triangles can have at most one right angle. If a triangle has two right angles, it would be a straight line, not a triangle. And if it has three right angles, it would be a complete circle, again not a triangle.

If a bicycle wheel has 36 spokes , then the angle between a pair of adjacent spokes is

• a) 10°

• b) 15°

• c) 12°

• d) 20°

Answer explanation

To find the angle between a pair of adjacent spokes on a bicycle wheel with 36 spokes, we can use the formula:

Angle = 360° / Number of spokes

Using this formula, we can calculate the angle:

Angle = 360° / 36 spokes = 10°

Therefore, the angle between a pair of adjacent spokes is 10°. Hence, the correct answer is a) 10°.

An angle more than 180° and less than 270° is called

• a) Zero angle

• b) Right angle

• c) Reflex angle

• d) Straight angle

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from (a) 6 to 12

• 1/3
• 3/4
• 1/4
• 1/2

Answer explanation

To solve this, let's consider the full circle of the clock face as having 360 degrees, and each hour mark representing 30 degrees (360 degrees divided by 12 hours).

(a) 6 to 12:

From 6 to 12, the hour hand covers 6 hour marks, which translates to:

• Angle covered = 6 x 30 degrees = 180 degrees

Now, to represent the fraction of a clockwise revolution, we divide the angle covered by the total possible angle in a circle:

• Fraction of revolution = 180 degrees / 360 degrees = 1/2

Therefore, the hour hand turns through 1/2 of a clockwise revolution when it goes from 6 to 12.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from (b) 5 to 8

• 5/12
• 3/12
• 2/12
• 1/4

Answer explanation

From 5 to 8, there are 3 hours. Each hour represents

1/12 of a complete revolution on the clock.

So, the fraction of a clockwise revolution is given by:

Fraction = Number of hours passed/Total hours in a clock

Fraction=3/12 = 1/4

Which direction will you face if you start facing (i) West and make 1/2 of a revolution clockwise?

• West
• South
• East
• North

Which direction will you face if you start facing (ii) East and make one full revolution?

• West
• South
• East
• North

What part of a revolution have you turned through if you stand facing (i) North and turn clockwise to face west?

• 45 degrees
• 270 degrees

• 360 degrees
• 180 degrees

What part of a revolution have you turned through if you stand facing (ii) South and turn anticlockwise to face west?

• 90 degrees

• 270 degrees

• 360 degrees
• 180 degrees