# Mathematics geometry questions with answers for Grade 4

Posted by **Olympiad Tester** on

**Q1) ****AD is a straight line. Find ∠y.**

**53°****56°****76°****124°**

**Answer**

** B.**

**Q2) The figure below is made up of a square ABCD and a rectangle FGHJ. BF = CJ. What is the length of BF?**

5 cm

6 cm

7 cm

14 cm

Answer

C.

**Q3) How many angles insided the figure are more than 90°?**

**5****2****3****4**

**AnswerC.**

**Q4) What is 1/4 turn more than 135°?**

**180°****225°****270°****315°**

**Answer**

** B.**

**Q5) After bending a piece of wire to form a square of side 6 cm, there is 24 cm of wire left. If the remaining wire is used to form a rectangle where the breadth is half the length. What is the greatest possible length of the rectangle?**

**48 cm****24 cm****8 cm****4 cm**

**AnswerC.**

** ****Q6) In the figure below, PQRS is a rectangle. ∠x is thrice of ∠y and ∠y is twice of ∠z. Find the value of ∠z.**

** **

Ans:____________º

Answer

10

**Q7) ****The figure below is made up of 4 rectangles. ****Find the area of rectangle A**

**Ans:____________m ^{2}**

**Answer**

** 40**

**Q8) ****Jolene had a piece of cardboard measuring 28 cm by 14 cm. She cut out Square A of side 6 cm and Square B of side 4 cm as shown. Find the perimeter of the remaining piece of cardboard.**

** **

**Ans:____________**

**Answer**

** The perimeter is 88 cm.**

**Q9)The letter I below is made up of three identical overlapping rectangles. ****Each rectangle measures 30 cm by 5 cm. Find the area of the letter I.**

**Ans:____________**

**Answer**

** The area is 400 cm ^{2}.**

**Q10) The figure below shows a rectangle measuring 16 cm by 10 cm. Four identical small squares of side 2 cm are cut out from each corner of he rectangle. Find the area of the remaining figure.**

Ans:____________cm^{2}

**Answer**

** 144 **

**Q11) In the figure below, the length of AB is equal to the length of CD. The length of EF is equal to the length of FG. Find the area of the figure below.**

** **

**Ans:____________m ^{2}**

**Answer**

** 576**

** **

**Q12) ****4 identical small squares of side 3 cm were cut from each corner of a square cardboard of side 13 cm as shown below.**

**Find the perimeter of the remaining piece of cardboard as shown in the figure.**

** **

** **

** **

**Ans: _________cm**

**Answer**

** 52 **

** **

**Q13) ****AO, BO and CO are straight lines meeting at point O. ∠AOB is equal to ∠AOC. ∠AOB is twice ∠BOC. What is the value of ∠AOC?**

** **

** **

**Ans: ___________°**

**Answer**

** 144**

**Q14)ABCD is a square. Find ∠y.**

Ans: _______________ °

Answer

16

**Q15) The figure below shows 3 identical rectangles. The length of each rectangle is 10 cm and the breadth is 8 cm. The rectangles overlap and form 2 similar squares of area 16 cm ^{2} each. Find the unshaded area of the figure.**

Ans: ________

**Answer**

** 176 cm ^{2}**