# Free Understanding Elementary Shapes 01 Practice Test - 6th grade

Which of the following method gives the most accurate length of line segments?

A.

Using a ruler

B.

Using a compass

C.

Using a divider and a ruler

D.

Observing the line segment and guessing the length

#### SOLUTION

Solution : C

We can't measure length using a compass. By guessing, the length measured will be less accurate. By using ruler we can measure, but the accuracy decreases if the angle at which it is viewed is not appropriate. By using the divider and a ruler, we can measure the length more accurately.

What is the angle included between the hour hand and the minute hand, if the time shown by the watch is 06:30? Is it acute or obtuse?

A.

0, Acute

B.

180, Obtuse

C.

15, Acute

D.

30, Acute

#### SOLUTION

Solution : C

In one hour, minute hand covers 360° and hour hand covers 30°. When the minute hand covers 180°, hour hand covers 15°. So at 6:30, minute hand covers 180° and hour hand covers 195°. The angle included between the minute and hour hand at 6:30 is 15°. Find which of the following are not true:

1.All the sides of rhombus are always equal in length.

2.All the sides of a parallelogram are always equal in length.

3.Diagonals of a parallelogram are equal in length.

4.Diagonals of a square are equal in length.

5.Diagonals of a rectangle are equal in length.

A.

1, 4 and 5

B.

2, 4 and 5

C.

2 and 3

D.

1, 3 and 5

#### SOLUTION

Solution : C

In a parallelogram, opposite sides are equal and diagonals are not equal. All are true except 2 and 3.

What is the angle formed between north and south direction?

A.

Acute angle

B.

Straight angle

C.

Right angle

D.

Obtuse angle

#### SOLUTION

Solution : B We can see the angle between north and south direction is 180
.

In a scalene triangle ,

A.

2 sides are equal in length

B.

all the sides are equal in length

C.

all the sides are unequal in length

D.

all the angles are equal

#### SOLUTION

Solution : C

In a scalene triangle, all the sides are unequal in length. A roller is in the shape of ____________.

A.

Cuboid

B.

Cone

C.

Cylinder

D.

Sphere

#### SOLUTION

Solution : C Just by observing and comparing, we can say that roller resembles the shape of the cylinder.

There is a circular track of length 400m. If you cover 270 of the track, what is the length you have covered while running?

A.

100m

B.

200m

C.

300m

D.

400m

#### SOLUTION

Solution : C

If you cover 360 of the track , the length covered = 400m

So,
For 180, the length covered will be
=12(400 m)=200 m
For 90, the length covered will be
=12(200 m)=100 m

For 270, the length covered = length covered for 180+  length covered for 90
=200 m+100 m=300 m

Is the following figure a polygon? If yes, what is its name? A.

Yes, Heptagon

B.

Yes, Octagon

C.

Yes, Nonagon

D.

No.

#### SOLUTION

Solution : C

Yes, it is a polygon, a closed figure bounded by sides. Number of sides is 9. So, it is called Nonagon.

If two sides of a triangle are equal , then it has _____ equal angles.

A.

two

B.

Three

C.

one

D.

zero

#### SOLUTION

Solution : A

If  the sides of a triangles are equal , then the angle opposite to it will also be equal. Hence if two sides are equal , then the two angles opposite to the equal sides will also be equal.

State whether the following statement is true or false.

If AB⊥ PQ and CD⊥PQ, then AB⊥CD.

A.

True

B.

False

#### SOLUTION

Solution : B

False.

If two lines are perpendicular to the same line then the two lines are parallel to each other. AB and CD are perpendicular to PQ. So, AB and CD are parallel to each other.