O-LevelMathematicsTrigonometry4024/22 · May/June 2021 · Q713 Marks
A rectangular field measures 30m by 45 m. Calculate the perimeter.
- (a)(i)A rectangular field measures 30m by 45 m. Calculate the perimeter.[1]
- (a)(ii)Calculate the length of a diagonal.[2]
- (b)The diagram shows a sketch of triangle PQR. All lengths are given in centimetres. Calculate the length a. [Figure 7.B][4]
- (c)The diagram shows a sketch of quadrilateral ABCD. All lengths are given in centimetres. The area of quadrilateral ABCD is 70 cm². Calculate DAB. [Figure 7.C][6]
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Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [1] (a)(i) 150
- [2] (a)(ii) 54.1 or 54.08... M1 for 30^2 + 45^2
- [4] (b) 5 10/19 or 5.53 or 5.526... nfww M1 for (a+4)² = a² +11² −2×a×11cos60 oe B1 for a² + 4a + 4a + 16 oe M1 for correct isolation of their terms in a to form a linear equation with use of cos 60 = 0.5 After 0 scored, SC1 for a + 4 = a² + 121 – 11a oe
- [6] (c) 107.8 or 107.78 to 107.79... M2 for tan (10/8) oe or M1 for tan ... = 10/8 B1 for 1/2 * 10 * 8 soi M2 for 1/2 * 8 * 9 * sin.x = 70-their40 oe or M1 for 1/2 * 8 * 9 * sin.x
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