Class 5 Maths - Measurement of Angles - Test 04

Q1) In the figure below, not drawn to scale, QRST is a parallelogram and PQTU is a trapezium.
(a) Find ∠x
(b) Find ∠y

Ans: (a)____________________
Ans: (b)____________________

Answer
(a) 69°
(b) 71°

Q2) The diagram below shows two squares, A and B. The shaded area represents 1/4​  of square B and 4/25​  of square A. Given that the length of square B is 20cm, find the area of square A.

Ans: ____________________

Answer

625cm²

Q3) The figure below is not drawn to scale. ABCD is a parallelogram. CDE and GDF are straight lines. Find ∠DFE.

Ans: ____________________

Answer
74°

Q4) In the figure below, AB and GF are straight lines. CD // EF. Find ∠GFE.

Ans: ____________________

Answer
52°

Q5) ABC is an isosceles triangle and ACD is a straight line. Find ∠q. ( The figure is not drawn to scale.)

Ans: ____________________°

Answer
39

Q6) In the figure below, not drawn to scale. PQRT is a trapezium and RST is an equilateral triangle. FInd ∠PTS.

Ans: ____________________°

Answer
165

Q7) In the diagram below, ABC and ABD are isosceles triangles. Calculate ∠p.

Ans: ____________________
Answer
16°

Q8) Given that ABCD is a trapezium, ABEG is a rhombus and GC is a straight line, find the values of
(a) ∠CBE
(b) ∠AFE

Ans: (a)____________________

Ans: (b)____________________

Answer
(a)28°
(b)126°

Q9) Adrian had a piece of wire 300cm long. He bent the wire into a figure shown below. How much wire had he left? ( Note: All the lines meet at right angles)

Answer
72cm

Q10) Find the area of the shaded part.

Ans: ____________________m²

Answer
2

Q11) In the figure below, a rectangular piece of paper of length 20cm is folded at corner G in such a way that FG is  1/3​  of its breadth. Find the area of the triangle EFG.

Ans: ____________________
Answer
40cm²

Q12) The figure below is not drawn to scale. ABCD is a rectangle. Triangles  AOC and BOD are identical. The area of triangle COD is 63.14cm². The ratio of the area of triangle AOB to the area of triangle COD is 3 : 7. Find the area of triangle AOC.

Ans: ____________________

 Answer
45.1cm² 

Q13) In the figure  below, ABF and ADF are triangles. DE is half the length BG. Given that the area triangle ABF is 63cm2 and triangle ACF is 9cm2, find the shaded area of the figure.

Ans: ____________________

Answer
76.5cm²

Q14) A garden measuring 12m by 6m has a 2m wide path around it.

(a) What is the area of the garden?
(b) What is the area of the pathway?



Ans: (a)____________________
Ans: (b)____________________
Answer
(a) 72m²(b) 88m²

Q15) The figure is made up of 2 squares. Find the area of the shaded portion.

Ans: ____________________cm²

Answer
288

Q16) In the figure below, ABCD and CEDF rectangles. Given that GECB is a trapezium, find the value of ∠GEC.

Ans: ____________________°

Answer
145

Q17) The figure below is not drawn to scale. What is the area of the shaded triangle?

Ans: ____________________cm²

Answer
270

Q18) The figure below is not drawn to scale. Find the area of the shaded triangle.

Ans: ____________________

Answer
91cm²

Q19) The figure below, not drawn to scale, is made up of square AFGD and rectangle FBCG. The Ratio of the length of EG to the length of EF is 1 : 3. The ratio of the length of BC to the length of FB is 1 : 2. Find the total area of the unshaded parts.

Ans: ____________________

Answer
480cm²

Q20)A man had a piece of wire 11.08m long. He cut off 7 pieces of wire each measuring 84cm from the original piece of wire. He used the remaining wire to form a rectangle of length 1.7m. Find the area of the rectangle. Give your answer in square meters.

Ans: ____________________
Answer
1.53m²