# Geometry Worksheets for Grade 4

Posted by **Olympiad Tester** on

**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?**

** **

**30 cm****40 cm****45 cm****75 cm**

** B.**

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

**GH ⊥ AB****XY ⊥ AB****XY ⊥ GH****CD ⊥ EF**

**AnswerD.**

**Q3) What is ∠ ABC in the figure below?**

**75°****85°****105°****115°**

** 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?**

**114 cm2****117 cm2****150 cm2****198 cm2**

**AnswerA.**

**Q5) Which of the following figures has perpendicular lines?**

**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?

** **

**3 steps to the south and 1 step to the west****3 steps to the south and 1 step to the east****1 step to the south and 2 steps to the west****1 step to the south and 2 steps to the east**

**AnswerC.**

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

**3 cm****4 cm****5 cm****6 cm**

**AnswerC.**

**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?**

** **

**100 cm****120 cm****140 cm****180 cm**

** C.**

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

**E****G****K****U**

**AnswerA.**

**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: ___________ cmAnswer32cm**

**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: _______________ cmAnswer104**

**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 cm ^{2}.**