# Grade 5 Maths Geometry Worksheet

Posted by **Olympiad Tester** on

**Q1) The figure ABCD shown below is not drawn to scale.**

**If ABC is an equilateral triangle and BC = CD, find angle CAD.**

Ans: ________________°

Ans: ________________°

**Answer**

** 30**

**Q2) The figure below is not drawn to scale. JK is a straight line. Find the difference between angle y and angle z.**

Ans: ________________

**Answer**

** 16⁰**

**Q3) In the figure below, not drawn to scale, PQR, SQR,SRW and PSU are straight lines. Given that angle RSU is twice the size of angle TSR, find angle RPS.**

Ans: _________________

**Answer**

** 45⁰**

**Q4) Given that KLQR is a square and angle KNL = 48⁰, find the ratio of angle QPN to angle KLM.**

Ans: ________________

**Answer**

** Ratio = 19 : 45**

**Q5) ****The length of AB is 1/3 of AC. Find the area of the shaded part.**

Ans: ______________ cm^{2}

**Answer**

** 60**

**Q6) DSF is a straight line. Angle FSM = Angle DSE = 27⁰. Find Angle MSE.**

Ans: __________________⁰

**Answer**

** 126**

**Q7) The figure below is not drawn to scale. RST is an isosceles triangle. RT = ST. Find angle TRS.**

**Ans: _______________**

**Answer**

** 66⁰**

**Q8) Find the area of the following figure.**

Ans: ______________ cm^{2}

Answer

15

**Q9) The figure ABCDE is made up of two squares and a triangle.The perimeter of the big square is 60 cm and the area of the small square is 16 cm ^{2}. Find the area of the triangle.**

Ans: _______________

**Answer**

** The area of the triangle is 22 cm ^{2}. **

**Q10) The following figure is not drawn to scale. EFGH is a rhombus. Angle GEJ = 63 ⁰, angle EHG = 88 ⁰ and angle EJG = 52⁰. Find angle g.**

Ans: ________________

Answer

Angle g is 19⁰

**Q11) In the diagram not drawn to scale, AHB, CHD and EHF are straight lines. Find angle z.**

Ans: _______________⁰

**Answer**

** 25**

**Q12) In the figure below not drawn to scale, ABCD is a parallelogram and DA = DE. Find angle ADB.**

Ans: ________________⁰

**Answer**

** 56**

**Q13) Find the area of the shaded triangle given that each square measures 1 cm by 1 cm.**

Ans: _______________ cm^{2}

**Answer**

** 14**

**Q14) ABCD and RSTC are rhombuses. If angle DAR = 120⁰ and angle STU = 15⁰, find angle RVB.**

Ans: ________________

**Answer**

** 75⁰**

**Q15) The figure is made up of ten similar isosceles triangles. Find angle IJK.**

Ans: _____________

**Answer**

** 144⁰**

**Q16) In the figure, not drawn to scale, TUVW is a parallelogram. TWY is a straight line. Find angle XUT.**

Ans: ________________

**Answer**

** 16⁰**

**Q17) The figure below is made up of a square and a triangle. The difference between the unshaded area A and unshaded area B is 8000 cm ^{2}. Given that the area of the square is 4/9 of the area of the triangle, find the length of the square.**

Ans: __________________

**Answer**

** 80 cm**

**Q18) PQR is a straight line as shown in the figure below. Find the value of angle a.**

Ans: ______________⁰

**Answer**

** 105**

**Q19) The figure below is made up of 4 triangles within a rectangle EFGH. Find the total shaded area.**

Ans: _______________ m^{2}

**Answer**

** 60**

**Q20) Find the perimeter of the figure below.Ans: _______________ cm**

**Answer**

** 204**

**Q21) ****The figure below is made up of 2 parallelograms. Find angle h.**

**Ans: _____________________**

**Answer**

** Angle h is 70°**

**Q22) ****In the diagram below, AGE, BGF, ABC and FED are straight lines. Find angle GED.**

** **

**Ans: _________________**

** **

**Answer**

**Angle GED is 146°**

**Q23) Two identical right-angled triangles overlapped each other as shown in the diagram below. Find the area of the shaded part.**

Answer:___________________________

Answer

29.75 cm^{2}

**Q24) The figure is made up of a rectangle ABCD. EFD is a straight line and EB = GD. The ratio of AE to AB is 5 : 8. Find the shaded area.**

Ans: __________________

**Answer**

** 40.5 cm ^{2}**

**Q25)The figure below, not drawn to scale, is made up of a triangle and an octagon with 8 sides, each measuring 13 cm. The base of the triangle is 1.6 times of each side of the octagon. Given that the octagon has an area of 141.8cm ^{2}, find the area of the unshaded part.**

Ans: _________________

**Answer**

** 107.8 cm ^{2}**