1 What is the value of digit 6 in the number 26489? star A 54 B 486 C 540 D 4374 T4 Chapter 2.1a Number Bases: Place Value and Digit Value
3 Given that p = \frac{r}{3-r}, express r in terms of p. star A r = \frac{3p}{2} B r = \frac{3-p}{2} C r = \frac{3p}{1-p} D r = \frac{3p}{1+p}
4 Diagram 1 shows a regular pentagon PQRST and QRU is a straight line. Calculate the value of x + y. star A 36 B 72 C 108 D 144
5 Table 1 shows Fariz's monthly salary distribution. | Savings | 10% of salary | | Investment | 25% of salary | | Expenses | The rest of salary | Table 1 Determine the ratio of Fariz's investment to expenses. Give the answer in simplest form. star A 1:3 B 5:13 C 7:13 D 25:65 T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan
6 A card is selected at random from a box containing cards with prime numbers less than 20. Calculate the probability of selecting an odd number. star A \frac{8}{9} B \frac{7}{8} C \frac{1}{8} D \frac{1}{9}
7 Diagram 2 shows two triangles, PQR and STU. Which of the following satisfies the Angle-Angle-Side (AAS) criteria when triangles PQR and STU are congruent? | | Angle | Angle | Side | |---|---|---|---| | A | ∠PQR = ∠STU | ∠QRP = ∠TUS | PR = SU | | B | ∠PQR = ∠STU | ∠QRP = ∠TUS | QR = SU | | C | ∠QRP = ∠SUT | ∠PQR = ∠STU | PR = ST | | D | ∠QRP = ∠SUT | ∠PQR = ∠STU | QR = TU | star A ∠PQR = ∠STU, ∠QRP = ∠TUS, PR = SU B ∠PQR = ∠STU, ∠QRP = ∠TUS, QR = SU C ∠QRP = ∠SUT, ∠PQR = ∠STU, PR = ST D ∠QRP = ∠SUT, ∠PQR = ∠STU, QR = TU T5 Chapter 5.1a Congruency and the Properties of Triangle Congruency
8 Diagram 3 shows five trapeziums drawn on square grids. Which of the following trapezium A, B, C and D is the correct image of trapezium K under an enlargement? star A A B B C C D D T5 Chapter 5.2c Determining the Image and Object of an Enlargement
9 Diagram 4 shows graphs of two quadratic functions, f(x) = -mx^2 +5 and g(x) = -4x^2 +5, drawn on the same axes. What is the possible range of values for m? star A 0 < m < 4 B -4 < m < 0 C m < 4 D m > -4 T4 Chapter 1.1c Shape of the Graph of a Quadratic Function T4 Chapter 1.1e Worked Examples: Finding the Constant c from a Point on the Graph
10 Diagram 5 shows a bar chart of the number of books sold at the bookstores Masyhur, Pustaka, Ilmu Ceria and Telaga Ilmu in a day. Which of the following is true about the bar chart? star A The difference between the number of novels and comics sold at the four stores is 10 units. B The difference between the number of books sold at stores Pustaka and Telaga Ilmu is 10 units. C The average number of comic books sold at the four stores is 20 units. D The average number of books sold at the four stores is 35 units. T4 Chapter 8.2f Comparing Two or More Sets of Data Using Measures of Dispersion
11 Diagram 6 shows an incomplete argument. | Premise 1 | : If the straight line JK is parallel to the straight line MN, then m_JK = m_MN. | | Premise 2 | : ... | | Conclusion | : The straight line JK is not parallel to the straight line MN. | Diagram 6 Which of the following is the correct premises 2 to form a valid deductive argument? star A m_JK = m_MN B m_JK \ne m_MN C The straight line JK is parallel to the straight line MN if and only if m_JK = m_MN. D The straight line JK is parallel to the straight line MN. T4 Chapter 3.2c Forming a Valid Deductive Argument
12 Diagram 7 shows the contrapositive of an implication. Which of the following is the converse of the implication? star A If P(R \cup S) \ne P(R)+P(S), then events R and S are mutually exclusive. B If events R and S are non-mutually exclusive, then P(R \cup S) \ne P(R)+P(S). C If P(R \cup S)=P(R)+P(S), then events R and S are mutually exclusive. D If events R and S are mutually exclusive, then P(R \cup S)=P(R)+P(S). T4 Chapter 3.1e Converse, Inverse and Contrapositive of an Implication
13 Diagram 8 shows a Venn diagram with universal set \xi = J \cup K \cup L. List the elements of K' \cup L. star A {5,6,9,10,11} B {7,8,9,10,11} C {5,6,7,9,10,11} D {5,6,7,8,9,10,11} T4 Chapter 4.3b Complement of Combined Operations on Sets
14 Diagram 9 is a Venn diagram that shows the favourite food of 5 Suria pupils. Given that universal set, \xi=L \cup M \cup S, set L = {like to eat nasi lemak}, set M = {like to eat fried noodles}, set S = {like to eat spaghetti}. Given n(L) = n(M) = 20, n(L \cap M \cap S) = 4, and n(L \cap M) = 5. Determine the number of students who like to eat fried noodles and spaghetti. star A 12 B 11 C 9 D 8 T4 Chapter 4.1c Solving Problems Involving Intersection of Sets
15 Diagram 10 shows a straight line JK. Given the gradient of the straight line JK is –4. Find the value of q. star A -8 B -7 C 7 D 8 T4 Chapter 6.2d Constructing Linear Inequalities from a Shaded Region
16 Puan Sofea packed 23 kg of sweets for her daughter's birthday party. She gives 7×10^{-1} kg to her child. The remaining sweets were put into 180 small packs to be distributed to the guests. Calculate the average mass, in g, of the sweets in each pack. star A 1.24×10^{-1} B 1.28×10^{-1} C 1.24×10^2 D 1.28×10^2
17 Which of the following is the example of a weighted graph? star A The current value of an electric circuit. B Sports tournament schedule. C Information in the organisational chart. D Tree map. T4 Chapter 5.1c Directed vs Undirected Graphs, Weighted vs Unweighted Graphs
18 Diagram 11 shows a right-angled triangle KLM. Given that KN=NL. Calculate the length of MN. star A 14.83 B 17.09 C 19.08 D 22.51 T5 Chapter 6.1d Solving Problems Involving Sine, Cosine and Tangent
19 Diagram 12 shows the region that satisfies two linear inequalities in two variables. Based on the region labelled A, B, C and D, determine the region that satisfies the inequalities x \ge y-2 and y+x>12. star A A B B C C D D T4 Chapter 6.2b Identifying the Region That Satisfies a System of Linear Inequalities
20 Diagram 13 shows two quadrilateral P and Q. Given that Q is image of P under a clockwise rotation of 90°. Determine the centre of rotation. star A (-1,-2) B (-2,-1) C (-2,0) D (0,3) T5 Chapter 5.3c Describing a Combined Transformation
21 Express \frac{x^2-4}{x^2-2x} in its simplest form. star A \frac{x-2}{x} B \frac{x+2}{x} C \frac{2}{x} D -\frac{2}{x}
22 A train moves at a speed of x kmh^{-1} for the first 3 hours and x+20 kmh^{-1} for the next 2 hours. Determine the expression for the total distance travelled by the train. star A 5x+40 B 2x+25 C 6x^2+120x D 6x^2+40
23 Diagram 14 shows a circle at centre O. POR is a diameter of the circle. Find the value of k. star A 30 B 40 C 55 D 85
24 Given that the interquartile range and standard deviation of a set of data are 14.8 and 8.6 respectively. Each value of the data is divided by 4 then subtracted by 2. Calculate the new interquartile range and the new standard deviation. | | Interquartile range | Standard deviation | |---|---|---| | A | 1.7 | 0.15 | | B | 1.7 | 2.15 | | C | 3.7 | 0.15 | | D | 3.7 | 2.15 | star A 1.7, 0.15 B 1.7, 2.15 C 3.7, 0.15 D 3.7, 2.15 T4 Chapter 8.2e Effect of Data Changes on Measures of Dispersion
25 Table 2 shows a record of weight, in kg, pupils of class 5 Amanah. | Weight (kg) | Number of pupils | |---|---| | 40-44 | 4 | | 45-49 | 3 | | 50-54 | x | | 55-59 | 8 | | 60-64 | 5 | Table 2 Given the estimated mean weight of a pupil in the class is 53.25 kg. Determine the value of x. star A 8 B 9 C 11 D 12 T5 Chapter 7.2b Variance and Standard Deviation for Grouped Data
26 Given that P is a 2x2 matrix and P^{-1} = \frac{1}{(1)(6)-(4)(-3)}\begin{pmatrix} m & -4 \\ n & 1 \end{pmatrix}. Determine the values of m and of n. star A m = -6, n = -3 B m = -6, n = 3 C m = 6, n = -3 D m = 6, n = 3 T5 Chapter 2.2f Determining the Inverse Matrix for a 2×2 Matrix
27 Pei Hua has x stamps and Maniam has y stamps. If Pei Hua gives 15 stamps to Maniam, then they will have the same number of stamps. If Maniam gives 30 stamps to Pei Hua, then the ratio of Pei Hua's stamps to Maniam's stamps will become 5 : 2. Express the situation in the form of matrix. star A \begin{pmatrix} 1 & -1 \\ -2 & 5 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 30 \\ 210 \end{pmatrix} B \begin{pmatrix} 1 & -1 \\ -2 & 5 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 15 \\ 150 \end{pmatrix} C \begin{pmatrix} 1 & -1 \\ -5 & 2 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 30 \\ 210 \end{pmatrix} D \begin{pmatrix} 1 & -1 \\ -5 & 2 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 15 \\ 60 \end{pmatrix} T5 Chapter 2.2h Solving Problems Involving Matrices
28 A bag contains 25 blue and yellow balls. It is found that the number of yellow balls exceeds the number of blue balls by seven. A pupil selects a ball at random from the bag. Calculate the probability of selecting a blue ball. star A \frac{7}{25} B \frac{9}{25} C \frac{11}{25} D \frac{16}{25}
29 Shahril wants to buy a car priced at RM63 000 within a year. He plans to apply a bank loan of RM50 000 and the balance to be paid as a down payment. Calculate the minimum monthly savings required if his current savings is RM10 500. star A RM1 084 B RM1 083 C RM209 D RM208 T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan
30 Table 3 shows the scores obtained in a competition. | Score | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | Frequency | 3 | 4 | 7 | 6 | x | 2 | Table 3 Given the median is 3. Which of the following is the possible value of x? star A 3 B 4 C 6 D 7
31 A bakery started baking cupcakes at 0700 hours. They had baked 24% of the total number of cupcakes needed for the day by 1000 hours. Determine the time, in 24-hour system, when all the cupcakes will be fully baked. star A 1930 B 1950 C 2230 D 2250
32 The volume of water, V litres, varies directly with the square of the time, t minutes, and inversely with the water pressure, P Nm^-2. Given the constant, k, is 40. Water is pumped into the pool for 4 minutes with a pressure of 10 Nm^-2. Calculate the volume of water, in litre, that flowed. star A 8 B 16 C 25 D 64 T5 Chapter 1.3b Solving Problems Involving Combined Variation
33 Diagram 15 shows distance-time graph of Aishah's round trip from her house to the post office by bicycle. Which of the following statement is correct? star A Total distance for the whole journey is 15 m. B Aishah spent 70 minutes at the post office. C The speed of bicycle from Aishah's house to the post office is 10 m min^{-1}. D The deceleration from post office to Aishah's house is 7.5 m min^{-2}. T4 Chapter 7.1b Interpreting Distance-Time Graphs
34 Diagram 16 shows a speed-time graph of Asmak's jog for a period of 22 minutes. Calculate the distance, in km, Asmak's jog for the last 12 minutes. star A 0.70 B 1.87 C 2.37 D 2.50 T4 Chapter 7.2b Area Under a Speed-Time Graph Represents Distance Travelled
35 Amina owns a shop with an area of 110 m^2. It is given that the quit rent levied is RM0.55 per meter square. Calculate the annual quit rent payable by Amina. star A RM30.25 B RM60.50 C RM110.55 D RM121.00 T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax
36 Diagram 17 shows a parallelogram PQRS and a right-angled triangle UTR. Given that TU : PQ = UR : QR = 1 : 2. Calculate the perimeter, in cm, of the shaded region. star A 56 B 64 C 68 D 96 T5 Chapter 5.2a Similarity of Geometric Objects
37 Diagram 18 shows front elevation of a tent. The roof of the tent forms an isosceles triangle QRS. Given that PQ = QR = 2 m and cos∠RST = -\frac{3}{5}, calculate the height, in m, top of the tent from the ground. star A 3.2 B 3.6 C 4.6 D 5.3 T5 Chapter 6.1d Solving Problems Involving Sine, Cosine and Tangent
38 Table 4 shows the information on Encik Ying's property insurance. | Insurable value | : RM500 000 | | Required insurance | : 80% of the insurable value | | Deductible | : RM4 000 | Table 4 Encik Ying has insured his house at RM350 000. The house caught on fire and the amount of loss of RM40 000. Calculate the amount of compensation he will receive. star A RM24 000 B RM28 000 C RM31 000 D RM35 000 T5 Chapter 3.1c Solving Problems Involving Deductible and Co-insurance
39 Diagram 19 shows the graph of y = 3sinx +1. Determine the value of p. star A 1 B 2 C 3 D 4 T5 Chapter 6.2b Effects of Constants a, b and c on Trigonometric Graphs
40 Faiz was admitted to the hospital due to an accident. The medical cost charged by the hospital is RM12 400. Faiz is covered by a medical insurance policy with a deductible provision of RM1 000 and 75/25 co-insurance percentage in participation clause. Calculate the amount borne by Faiz. star A RM3 850 B RM3 100 C RM2 850 D RM2 100 T5 Chapter 3.1c Solving Problems Involving Deductible and Co-insurance