Geometry Worksheets for Grade 4

 Q1) The figure below is made up of a rectangle and a square. AB is 5 cm and BC is twice as long as AB. What is the perimeter of the figure?

1. 30 cm
2. 40 cm
3. 45 cm
4. 75 cm

Answer

B.

Q2) In the figure below, which two lines are perpendicular to each other?

1. GH ⊥ AB
2. XY ⊥ AB
3. XY ⊥ GH
4. CD ⊥ EF

Answer
D.

Q3) What is ∠ ABC in the figure below?

1. 75°
2. 85°
3. 105°
4. 115°

Answer

C.

Q4) The figure ABCD below is made up of a rectangle and a square. The area of the square is 36 cm2. What is the area of the figure?

1. 114 cm2
2. 117 cm2
3. 150 cm2
4. 198 cm2

Answer
A.

Q5) Which of the following figures has perpendicular lines?

Answer

B.

Q6) Look at the diagram given below and answer the question that follows.

Jonah started at point H. He walked 3 steps to the east and then 2 steps to the south. In order to reach Z, what other steps must he take to get there?

1. 3 steps to the south and 1 step to the west
2. 3 steps to the south and 1 step to the east
3. 1 step to the south and 2 steps to the west
4. 1 step to the south and 2 steps to the east

Answer
C.

Q7) The figure below is made up of 3 rectangles. Find the length of Line MG.
(All the lines meet at right angles.)

1. 3 cm
2. 4 cm
3. 5 cm
4. 6 cm

Answer
C.

Q8) ABCDE below is made up of an equilateral triangle and 4 similar squares. Given that CD is 40 cm, what is the perimeter of the figure?

1. 100 cm
2. 120 cm
3. 140 cm
4. 180 cm

Answer

C.

Q9) Which of the following figures contains both parallel lines and perpendicular lines?

1. E
2. G
3. K
4. U

Answer
A.

Q10 ) The figure HILMNJK is made up of a square LMNJ and a rectangle HIJK.
Find the unknown length HK.




Ans: _____________ cm

Answer

32

Q11) The figurer below is made up of 3 identical rectangles and a square.
What is the perimeter of the shaded part?
   

   



Ans: ___________ cm
Answer
32cm

Q12) The figure below is not drawn to scale. It is made up of 2 similar rectangles. Study the figure below and answer the following question.



Find the perimeter of the whole figure.

Ans: _______________ cm
Answer
104

Q13 )Look at the diagram shown below. How many sets of perpendicular lines are there?

Answer

8

Q14)A rectangular piece of paper, measuring 20 m by 9 m, is cut into 4 smaller identical pieces as shown in Figure A. They are then used to form a shape as shown in Figure B. What is the perimeter of the shape in Figure B?

Ans: __________________ m

Answer

77 m

Q15) In the figure below all the lines meet at right angles. Find the total area of the shaded parts of the figure.

Answer

Total area of the shaded parts of the figure is 15 170 cm².