1 A rectangular floor has length 240 m and width 120 m. 30% of the floor will be covered with red square tiles and the side of each tile is 30 cm. Calculate the number of red tiles required to cover the floor. flag bookmark A $3.2 \times 10$ B $9.6 \times 10^2$ C $9.6 \times 10^4$ D $3.2 \times 10^5$ Floor area = 240 × 120 = 28 800 m². 30% of it = 8 640 m². One tile = 0.3 × 0.3 = 0.09 m². Number of tiles = 8 640 ÷ 0.09 = 96 000 = $9.6 \times 10^4$.
2 Adibah bought 3 T-shirts for RM$(15y + 6)$. If Azimah has RM$(30y + 12)$, how many of the same T-shirts can she buy? flag bookmark A 4 B 5 C 6 D 7 One T-shirt costs RM$\frac{15y + 6}{3}$ = RM$(5y + 2)$. $30y + 12 = 6(5y + 2)$, so Azimah can buy 6 T-shirts.
3 Faizal saves RM8 000 in a fixed deposit account for half a year. The interest rate offered is 3.3% per annum. Calculate the interest received by Faizal. flag bookmark A RM123 B RM132 C RM257 D RM264 $I = Prt = 8000 \times 0.033 \times \frac{1}{2} = 132$, so the interest is RM132.
4 Diagram 1 shows a trapezium, JKLM in a rectangle, JKTR. Find the remaining area, in mm², of the diagram after the trapezium is removed. flag bookmark A 167.615 B 305.235 C 472.850 D 778.085 Rectangle: 24.5 × 19.3 = 472.85 mm². Trapezium JKLM (JK ∥ ML, height JM = 17.1 mm): $\frac{1}{2}(24.5 + 11.2) \times 17.1 = 305.235$ mm². Remaining area = 472.85 − 305.235 = 167.615 mm².
5 In Diagram 2, O is the centre of a circle and RST is a straight line. Given that VW = 26 cm and SV = 8 cm. Find the length of RT, in cm. flag bookmark A 17 B 24 C 26 D 34 VW is a diameter, so the radius is 13 cm and OS = 13 − 8 = 5 cm. OS is perpendicular to the chord RT, so $RS = \sqrt{13^2 - 5^2} = 12$ cm and RT = 2 × 12 = 24 cm.
6 Diagram 3 shows PQ is a straight line with a gradient of $-\frac{1}{4}$. Find the y-intercept of the straight line PQ. flag bookmark A $-\frac{1}{2}$ B $-\frac{1}{8}$ C $-\frac{1}{4}$ D $-\frac{1}{6}$ The x-intercept is −2. $m = -\frac{\text{y-intercept}}{\text{x-intercept}}$, so $-\frac{1}{4} = -\frac{c}{-2}$, giving $c = -\frac{1}{2}$.
7 The gradient of the line $3x - 4y = 12$ is flag bookmark A $-3$ B $-\frac{3}{4}$ C $\frac{3}{4}$ D $3$ $4y = 3x - 12$, so $y = \frac{3}{4}x - 3$. The gradient is $\frac{3}{4}$.
8 Diagram 4 shows five triangles drawn on square grids. Which of the triangles A, B, C and D, is congruent to the triangle X? flag bookmark A A B B C C D D T5 Chapter 5.1a Congruency and the Properties of Triangle Congruency Triangle X is a right-angled triangle with sides 3 units and 2 units forming the right angle. Only triangle B has the same two sides (3 units and 2 units), so B is congruent to X (it is X turned over).
9 **[Bonus]** (P is mapped onto Q by a rotation of 180° about (3, 3), not (3, 1), so none of the options is correct.) Diagram 5 shows two isosceles triangles, P and Q on a Cartesian plane. P is mapped to Q by reflection on the line $y = 3$. Identify another transformation that maps P onto Q. flag bookmark A Rotation of 90° clockwise at (3, 1) B Rotation of 180° at (3, 1) C Rotation of 270° clockwise at (3, 1) D Rotation of 360° anticlockwise at (3, 1)
10 Diagram 6 shows a regular hexagon, ABCDEF, with centre O. ABG is a straight line. Find the value of $x + y$. flag bookmark A 120° B 140° C 160° D 180° Each exterior angle of a regular hexagon is 360° ÷ 6 = 60°, so x = 60°. The angle at the centre between two neighbouring vertices is 60°, and y is ∠FOD, which covers two of these, so y = 120°. x + y = 180°.