# Class 5 Maths - Measurement of Angles - Test 03

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**Q1) The figure, not drawn to scale, shows a rectangle and a straight line XY. Find ∠a.**

Ans: __________º

Answer

53

**Q2) PQRS is a square and PR = 16 cm. Find the area of PQRS.**

Ans: __________cm^{2}

Answer

128

**Q3) ****Square WXYZ has the same perimeter as triangle ABC. What is the area of triangle ABC?**

**Ans: _______________cm ^{2}**

**Answer**

** 54**

**Q4) In the figure below, PDR and ADC are straight lines, Find ∠APR.**

Ans:____________º

Answer

17

**Q5) The figure below is not drawn to scale. PQRS is a rhombus. Given QT is a straight line and ∠QRS = 110º, find ∠RST.**

Ans: ___________º

Answer

145

**Q6) The ratio of a:b is 1:5. Find the value of ∠a.**

Ans: ____________º

Answer

60

**Q7) The figure below is not drawn to scale. Given that ABC is an isosceles triangle and DBC is an equilateral triangle, what is the value of ∠y?**

Ans: _____________º

Answer

10

**Q8) In the figure below, not drawn to scale, PQRS is a square of side 24cm. X is the mid-point of PS and Y is the mid-point of RS. Find the area of the shaded region.**

Ans: ____________cm^{2}

Answer

216

**Q9) In the figure, not drawn to scale, ABCD is a square. FAB is a straight line. Find ∠g.**

Ans: ___________

Answer

102°

**Q10)The figure, not drawn to scale, is made up of 2 parallelograms. Find ∠r.**

Ans: ___________

Answer

70°

**Q11) The figure below is not drawn to scale. ABCD is a rectangle, BECG is a square and EMNC is a parallelogram. Find ∠DCN.**

** **

Ans: ____________

Answer

170°

**Q12) In the figure below, not drawn to scale, ABC is an isosceles triangle. ∠ACB is 50°. BCD is a straight line. Calculate ∠BAD.**

Ans: __________°

Answer

92

**Q13) AB, CD and EF are straight lines. Find ∠x.**

Ans: ___________º

Answer

57

**Q14) ****In the figure below, not drawn to scale, ABCD is a rectangle. EFH is a straight line. ED is 1/4 of AD.**

**(a) Find the length of GC.**

**(b) Find the shaded area.**

**Ans:**

**(a)____________**

**(b)____________**

**Answer**

**(a) The length of GC is 31 cm.**

**(b) The shaded area is 418.5 cm ^{2}.**

**Q15) The figure below (not drawn to scale) is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 2 : 7. If 18 of the square is shaded, what is the ratio of the unshaded area to the total area of the figure?**

Ans: ____________

Answer

34 : 35

**Q16) ****The figure below is made up of a square and 2 triangles. Given that AF = FE, find the area of the shaded parts.**

** **

**Ans: ____________cm ^{2}**

**Answer**

** 270**

**Q17) In the figure (not drawn to scale), WXYZ is a rectangle. ∠WSX = 70º and ∠XZY = 58º. Find ∠SXZ.**

Ans: _______________º

Answer

38

**Q18) A rectangular piece of paper measuring 12 cm by 10 cm is folded at a corner forming a shaded isosceles triangle shown in the figure below. Express the unshaded area after the paper was folded as a fraction of the area of the rectangular piece of paper. (This figure is not drawn to scale.)**

Ans: ____________

Answer

The fraction is 13/15

**Q19) The figure below (not drawn to scale) is made up of 2 isosceles triangles, ABC and ACD. AC = BC = CD. Find ∠DAB.**

Answer

78º

**Q20) The figure below is made up of 5 identical rectangles. What is the minimum number of such rectangle(s) that must be added to the figure to form a square?**

Ans: ____________________

Answer

3