# Class 5 Maths - Measurement of Angles - Test 04

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**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**

**625cm ^{2}**

**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: ____________________m^{2}

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

40cm^{2}

**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 63.14cm ^{2}. 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

45.1cm^{2}

**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

76.5cm^{2}

**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) 72m^{2}(b) 88m^{2}

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

Ans: ____________________cm^{2}

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: ____________________cm^{2}

Answer

270

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

Ans: ____________________

Answer

91cm^{2}

**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

480cm^{2}

^{ }

**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

1.53m^{2}

^{ }