9. Joseph has $m. Kenny has 3 times as much money as Joseph. Leo has half the amount of money Joseph and Kenny have altogether. How much money do the 3 boys have
altogether? HP07P36
10.
(a) Jane is 4k years old. Her sister is 3 years older than her. Express their total age in terms of k.
(b) What is the ratio of Jane’s age to her sister’s when k = 9? (Express your answer in the simplest form.) SC07P36
2008
11.
(a) The sum of three numbers is 9m. One of the numbers is m and the other number is 4. Express the third number in terms of m.
(b) If m = 3, find the value of the third number. MB08C40
12. An eraser costs x cents and a pen costs 80 cents more than an eraser. (a) What is the cost of 3 erasers and 1 pen in terms of x?
(b) Jerome wants to buy 3 erasers and 1 pen but is short of 20 cents. If the eraser costs 70 cents, how much money does Jerome have? RS08C42
13. A slice of cake costs $m. Yi Ling bought n such slices of cake. Find the smallest possible
sum of m and n if Yi Ling paid a total of $24. NY08C40
14. A book costs $m and a file costs $6 less than a book.
(a) What is the cost of 1 book and 1 file? Express your answer in terms of m in its simplest form.
(b) Joshua paid $10 for 1 book and 1 file. If the book costs $7, how much change would Joshua receive from the cashier? RY08C39
15. Pauline has y stamps and Ali had 106 more stamps than she. Julia has half as many stamps as Pauline and Ali.
(a) How many stamps does Julia have? Give your answer in terms of y. (b) If y = 8, how many stamps does Julia have? MG08C41
16. Isaac has 4y Pokemon cards. He has 𝟏𝟑 as many cards as Justin. Kenneth has 3 cards fewer than Isaac. How many cards do the boys have altogether? NH08S37
17. A calculator cost $n. A pen cost twice as much as the calculator. Jane bought 6 calculators and 9 pens. How much did she pay altogether? TN08S38
18. Salim took part in a triathlon. He swam 3w m during the swimming event. He then cycled 500 m more than the distance he had swum. Finally, he ran three times as far as he had swum.
(a) Express in terms of w, the total distance covered for all three events.
(b) If w = 400, find the total distance he had covered for all three events. AC08S37
19. Jeff saved $5 each day and Mei saved $y less than Jeff each day. After two weeks, they were still short of $30 to buy a fan. How much did the fan cost? RG08S36
20. Rachel is x years old now. Her mother is 36 years older than Rachel. Her father’s age is the sum of Rachel’s age and her mother’s age. How old is Rachel’s father? SC08P37
21. The mass of a pen is 8n grams. The mass of a ruler is 2n grams.
What is the total mass of 2 pens and 6 rulers? RG08P36
22. Amir was left with $4n after buying 2 identical pens at $2.15 each.
(a) Find the total amount of money he had at first. Leave your answer in terms of n. (b) Given that n = 7, how much money did he have at first? SN08P37
2009
23. I spent exactly $6 on some pens. If 4 pens cost $n, (a) How much is 1 pen?
(b) How many pens did I buy? NH09S09
24.
(a) 4 belts cost $6b. How much do 10 belts cost? Express your answer in terms of b. (b) If b = 16, find the cost of 7 belts. SC09S07
25. Sharon bought m pens and 3 notebooks for $5. Each pen cost 40 cents. (a) Express the cost of 1 notebook in terms of m.
(b) If m = 5, how much did each notebook cost? HP09P06
26. Lanoo exercised for a total of (4r + 9) min in a week. For the first three days, he
exercised for r minutes per day. For the next two days, he exercised for 35 minutes per day. For how long did he exercise for the rest of the week? SN09P08
27. The usual admission fee to an amusement park was $w. Senior citizens were given a
50% discount. How much would a group of 8 people have to pay if 3 of them were senior citizens? HP09S09
28. Last year the total age of Mr Tan and his wife is p years old.
His wife is 1 year younger than him.
What is his wife’s age 2 years from now? Express your answer in terms of p. RG09P07 2010
29. Simplify 15k + 7 ÷ k × 9k – 21. SN10S03
30. Find the value of 6w + (5 + 3w) + 2 when w = 50. RG10P01
31. Leroy had only $9 and he needed to buy 85 magnets. His father gave him another $r. The magnets were sold in a pack of 5 for $r. How much more money did he need to pay for all the 85 magnets? SN10C09
32. A pen costs $y. A book costs 40₵ more than a pen. A ruler costs 20₵ less than a book. How much would I need to buy 3 pens and one ruler? RG10P08
33. The recipe for baked salmon is as follows:
How many minutes will it take to cook 2 kg of salmon? Give your answer in terms of r. SN10P10
34. Jeremy is k years old. In 10 years’ time, his brother will be 2 times his age. Express their total age in 10 years’ time in terms of k. RY10S05
35. 3y books cost $10. Find the cost of 9 books. Express your answer in terms of y. CH10S01
36. If k = 6, find the value of 4𝑘
3 – 3 + 8k + 10 – 7k. NY10S04
37. A train ticket for a child cost $2p. Mr Andrews paid $38 for 14 child tickets and 3 adult tickets. How much is the cost of an adult ticket in terms of p? PC10P02
38. There was half a box of biscuits left.
Father ate twice as many pieces of biscuits as Sister. I ate the remaining 5 pieces.
If Father ate 4p pieces, how many pieces of biscuits were there in a full box? MB10P04
For each portion of 500g of salmon: First, steam for rmins.
Then, bake in the oven for 𝟑
𝟒 h.
The baked salmon is now ready to be served.
39. Timmy is n years old now. In 3 years’ time, his sister will be thrice his age. Express their total age in terms of n. CH10P02
40. The length of a piece of rope is 2 m. It is p cm longer than a piece of string. What is the total length of the rope and the string? SC10P01
2011
41. Ryan had $(50 + 8x). Sam had $9x more than Ryan. Ryan was given another $x and Sam was given twice as much the amount given to Ryan. How much did they have now altogether? Give your answer in terms of x. RS11C01
42. Eleven children were given funfair tickets to sell. Each child sold 12y tickets. Each ticket cost $5. If y = 4, what was the total amount of money collected from the sale of the funfair tickets? NY11S03
43. Tim is x years old. His sister is 8 years older than him. Find their total age in 3 years’
time. NH11P01
44. Simplify the expression 3 – 6w + 12 × 4w + 22. RG11S02
45. Wilson bought 3 kilograms of flour. He made a dough using w grams of the flour. The remaining flour is packed equally into 5 packets. How much flour was there in each packet? Leave your answer in terms of w. SN11S03
46. Each box of chocolates cost $p and each box of sweets cost half as much as each box of chocolates. Find the total cost of 3 boxes of chocolates and 4 boxes of sweets. Express your answer in terms of p. CH11S02
47. Two dozen exercise books cost $3k. Find the cost of 96 exercise books In terms of k. RG11P01
48. Mr Tan's bookshelf has enough space for either 15x hardcover books or 20 paperbacks.
If there are already 18 hardcover books and 4 paperbacks, how many more hardcover books can be placed on the bookshelf? Express your answer in terms of x. NY11P01
49. Ribbon A cost $m. Ribbon B cost thrice as much as Ribbon A. Jerry bought 5 pieces of Ribbon A and 8 pieces of Ribbon B. How much did he pay altogether? TN11S04
2007
1. Leela, Siti, and Jane shared $264. Siti had $k less than Leela and Jane had twice as
much as Siti.
(a) How much did Siti have in terms of k?
(b) If k = $8, how much did Leela and Jane have altogether? AC07P39 2008
2. Mark, Jason and David had 126 marbles. Jason had k more marbles than Mark and David had twice as many marbles as Jason.
(a) How many marbles did Mark have in terms of k?
(b) If k = 2, how many marbles did Jason and David have altogether? AC08P36
3. Andy has k stamps. Muthu has thrice as many stamps as Andy but 8 stamps fewer than
James.
(a) How many stamps do they have altogether? (Express your answer in terms of k). (b) If k = 9, how many stamps do the three children have altogether? HK08P40 2009
4.
(a) Arif is 2x years old. His father is 4 times as old as he. His mother is 3 years younger than his father. What is their total age in terms of x?
(b) If x = 4, find their total age. NY09C06 2010
5. Salleh weighs p kg. Vivek is three times as heavy as Salleh. Josiah is 8 kg lighter than Vivek.
(a) What is the total mass of the three boys in terms of p?
(b) If Salleh weighs 20 kg, what is the difference between Josiah’s mass and Salleh’s mass? AC10S13