# Free Grade 4 Geometry Worksheets

Posted by **Olympiad Tester** on

**Q1) ABCD is a rectangle not drawn to scale. CE and DE are straight lines. ∠ADE is 38° and ∠BCE is 51°. Find the sum of ∠EDC and ∠ECD.**

** **

**42°****48°****89°****91°**

** Answer**

** D.**

**Q2) The figure below is made up of a rectangle and two squares. How many right angles are there altogether?**

**14****12****8****4**

**Answer**

** B.**

**Q3) ****Which one of the following is the best estimate for ∠ x?**

** **** **

**1 right angle.****2 right angles.****more than 3 right angles.****less than 1 right angle.**

** Answer**

** C.**

**Q4) Jamie had a piece of wire 28 cm long. She bent the wire to make the shape which was in the form of 2 squares X and Y as shown below.What was the area of Y?**

**1 cm2****8 cm2****16 cm2****4 cm2**

** AnswerD. **

**Q5)** **Given that all the lines meet at right angles, what is the perimeter of the figure shown below?**

** **

**35 cm****50 cm****62 cm****72 cm**

**D**

**Q6) The figure below, not drawn to scale, is made up of Square X and Rectangle Y. The length of Square X is twice the breadth of Rectangle Y. Find the perimeter of the figure.Ans: _____________ m**

** Answer**

** 60**

**Q7) The figure below, which is not drawn to scale, is made up of Rectangle A, Rectangle B and Square C. Rectangle A and Rectangle B are identical. The length of Rectangle B is twice the length of Square C. The area of Square is half the area of Rectangle B. Find the area of the figure.Ans: _________________**

**Answer**

** 3920 cm square**

**Q8) Which of the following figures contains both parallel lines and perpendicular lines?**

**Answer**

**E.**

**Q9)****The figure below is formed by overlapping 3 identical squares of sides 10 cm. Find the area of the figure.**

** **

**Answer**

** The area of the figure is 250 cm ^{2}.**

**Q10) A rectangular piece of paper, measuring 9 m by 6 m, is cut into 3 smaller identical pieces as shown in figure A. They are then used to form a shape as shown in diagram B. What is the perimeter of the shape in diagram B?Answer: ___________________m**Answer

**36 m**

**Q11) ****The figure below is made up of 2 identical rectangles of length 14 cm. Find the perimeter of the figure.**

** **

** **

** ****Ans: _________________ cm**

** Answer**

** 56**

**Q12) ****The diagram below is made up of a shaded square and a rectangle. The square has sides of 4 cm and the area of the rectangle is 3 times the area of the square. What is the breadth of the rectangle if its length is twice the side of the square?**

** **

**Ans: _________________ cm**

**Answer**

** 6**

**Q13) ****A rectangular piece of paper is folded along line AB.**

**(a) Find the area of the paper before it was folded.**

**(b) How many 2-cm squares can be cut from the unfolded rectangular piece of paper?**

** **

** **

**Ans: (a) ________________ (b) ________________**

** **

Answer

Answer

**(a)114 (b) 27**

**Q14) ****One of the lines in the figure below is parallel to Line BC. Which line is parallel to BC?**

** **

**Ans: ________________ **

**Answer**

** ED**

**Q15) ****The figure below is formed by overlapping 5 big squares. The area of each big square is 9 cm ^{2}. Each big square is further divided into 4 identical small squares.**

**What is the area of the figure?**

** ****Ans: _____________________ cm ^{2}**

**Answer**

** 36**

**Q16) ****The figure below shows a rectangle PQRS with a square removed. The length of PS is 16 the perimeter of rectangle PQRS. The difference between the length PQ and the length PS is 6cm.**

**(a) Find the perimeter of the shaded portion.**

**(b) If the area of the shaded portion is 56 cm ^{2}. Find the length of the square.**

** **

** **

**Ans: (a) _______________**

**Ans: (b) _______________**

Answer

Answer

**(a) The perimeter of the shaded portion is 36 cm.**

**(b) The length of the square is 4 cm.**

**Q17) The figure is made up of 5 identical squares. The total area of the figure is 245 m ^{2}. Find the perimeter of the figure.Ans: ______________ m**

**Answer**

** 84**

**Q18) 2 rectangles A and B overlap at X as shown in the diagram below.**

**X is 1/8 of rectangle A.**

**X is 1/6 of rectangle B.**

** ****If the length of rectangle B is 9 cm and its breadth is 4cm, what is the area of the unshaded part of figures A and B?**

**Ans: ______________**

**AnswerThe area of the unshaded part of figures A and B is 72 cm2.**

**Q19) Write down all the letters that contain only one pair of parallel lines.**

__MATHS IS EASY__

Ans: _____________

Answer

M and H

**Q20) The figure ABCD is made up of a rectangle and two identical squares.The perimeter of each square is 16 cm. Find the perimeter of the figure ABCD.Ans: (a) __________ (b) __________ Answera. 34 cmb. 72 cm2**