Onlinetuition.com SPM Mathematics
Question 17 (15 marks):Hanis just got promoted as a manager in a private company in Johor Bahru with monthly salary of RM12 000 . She wants to buy a new car model Proton X 701.8 L Premium with the price of RM124 000 with a bank loan.(a) She makes a comparison and found out that … Read more
Question 16 (15 marks):The Venn diagram below shows a representation of 42 students of Usahawan Tani Club at a school who are fond of three types of local fruits, watermelon, guava and pineapple. (a) Given the number of students who like guava only is twice the number of students who like pineapple only.Calculate:(i) the number … Read more
Question 15:Diagram 8 shows quadrilaterals ABCD, AEFD, KLMN and PQRS drawn on a Cartesian plane.Diagram 8(a) Transformation G is a reflection in the straight line x = 0.Transformation H is a translation ( −3 2 ) .State the coordinates of the image of point F under the following transformations:(i) H(ii) HG[3 marks](b) AEFD is the … Read more
Question 14:(a) Given volume of gas, V varies inversely as the pressure, P. Given V = 2 m3 and P = 500 Nm-2, express V in terms of P. [2 marks](b) Based on the answer in 14(a), complete Table 3 in the answer space. [1 mark](c) For this part of the question, use the graph … Read more
Question 13: Data in Table 1 shows the height, in cm, of a group of 10 volleyball players.142168162154172162157158169181Table 1(a) Determine (i) the first quartile(ii) median(iii) the third quartile(iv) the interquartile range[4 marks](b) Table 2.1 shows the number of words typed by a group of participants in a Shorthand and Secretarial Workshop within the duration of 5 … Read more
Question 12:The speed-time graph in Diagram 7 shows the motion of an object for a period of t seconds.(a) Calculate(i) uniform speed,(ii) the rate of change of speed, in ms-2, of the object in the first 5 seconds.[3 marks](b) Find the value of t, if the distance travelled by the object for the first 5 … Read more
Question 9:Diagram 5 shows a rhombus KLMN.Given that KN = 10 units.Find(a) gradient of straight line LM.(b) the equation of straight line MN.[4 marks]Solution:(a) Point k=( −6,0 ) m LM = m KN m LM = y 2 − y 1 x 2 − x 1 m LM = 6−0 2−( −6 ) m LM = … Read more
Question 7:For this question, give all your answers as fractions..When Ivan goes to shopping mall, the probability that he wears a hat is 5/8. If he wears a hat, then the probability that he wears sport shoes is 2/3. If he does not wear a hat, then the probability that he wears sport shoes is … Read more
Question 5:Diagram 3 shows a shaded region which satisfies three inequalities.State all the inequalities.Solution: Shaded region above the solid line, y= 3 2 is y≥ 3 2 . At y-intercept, c=6. x-intercept =6 gradient, m=− 6 6 =−1 y=mx+c y=−x+6 ∴Shaded region below the solid line is y≤−x+6. At origin, y-intercept c=0, gradient, m= 1.5−0 0.5−0 =3 y=mx+c y=3x+0 y=3x ∴Shaded region below the … Read more
Question 3:(a) Diana uses 1.26 m of red ribbon to stick around a circular shaped cardboard. Calculate the radius, in m, of the cardboard.( Use π = 3.142)(4 marks)(b) Diana noticed that the site of a recreational park built near her house is round in shape and has a centre, O. There is a square … Read more