Grade 5 Maths Geometry Worksheet
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Q1) The figure ABCD shown below is not drawn to scale.
If ABC is an equilateral triangle and BC = CD, find angle CAD.
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: ______________ cm2
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: ______________ cm2
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 cm2. Find the area of the triangle.
Ans: _______________
Answer
The area of the triangle is 22 cm2.
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: _______________ cm2
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 cm2. 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: _______________ m2
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 cm2
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 cm2
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 141.8cm2, find the area of the unshaded part.
Ans: _________________
Answer
107.8 cm2