Money word problems and best-buy comparisons from real P6 prelim papers. Every question is from a real Singapore P6 preliminary exam, marked instantly, with step-by-step solutions.
A few real money questions from P6 prelim papers. The full set — with marking and progress tracking — is inside SG Maths Exam.
Nanyang 2025 · Paper 2 · Q13 · 4 marks
(a)
The table shows the rental rate per hour: Pair of Rollerblades $\$10$, Skateboard $\$4.50$, Bicycle $\$7$. The graph shows the number of hours Amy rented for each item. Amy rented 1 pair of rollerblades, 1 skateboard and 2 bicycles. The 2 bicycles were rented for the same duration. How much did Amy pay altogether?
Worked solution — (a)
From the graph: rollerblades $2$ h, skateboard $2$ h, each bicycle $3$ h. Cost $= 2 \times \$10 + 2 \times \$4.50 + 2 \times (3 \times \$7) = \$20 + \$9 + \$42 = \$71$.
(b)
Bobby paid a total of $\$43.50$ for renting 1 skateboard and 1 pair of rollerblades. Bobby started his rental of both items at the same time and ended his rental of both items at 6.30 p.m. What time did Bobby start his rental?
Worked solution — (b)
Renting both items together costs $\$10 + \$4.50 = \$14.50$ per hour. Duration $= \$43.50 \div \$14.50 = 3$ hours. Start time $= 6.30\text{ p.m.} - 3\text{ h} = 3.30\text{ p.m.}$
Tao Nan 2025 · Paper 2 · Q11 · 3 marks
(a)
The line graph shows the volume of water the Tan family used from January to June. What was the percentage increase in the water used from April to May?
Worked solution — (a)
$50 - 40 = 10$
$\frac{10}{40} \times 100\% = 25\%$.
(b)
The table shows the charges for water usage. How much did the Tan family pay for their water bill in May?
Worked solution — (b)
First 40 m^3 = $40 \times \$3.50 = \$140$
next 10 m^3 = $10 \times \$4.50 = \$45$
total = $\$185$.
St Nicholas 2025 · Paper 2 · Q6 · 3 marks
In a shop, cups are sold in sets of 8 and plates are sold in sets of 12. A set of 8 cups costs \$60 and a set of 12 plates costs \$75. Lim Soon bought the same number of cups and plates. He spent \$660 altogether. How many cups did Lim Soon buy?
Worked solution
The number of cups and plates must be a common multiple of 8 and 12, the smallest being 24. Cost for 24 cups and 24 plates $= 3 \times \$60 + 2 \times \$75 = \$180 + \$150 = \$330$. Since \$660 is twice \$330, Lim Soon bought $2 \times 24 = 48$ cups.
St Nicholas 2025 · Paper 2 · Q11 · 3 marks
A file cost \$3.10 more than a pen. Hakim bought twice as many pens as files. He spent a total of \$92.70. He spent \$6.30 more on the files than on the pens. Find the total cost of a pen and a file.
Muthu paid $\$18.50$ for a total of 20 curry puffs and sandwiches. He paid $\$0.50$ more for each sandwich than each curry puff. Muthu bought 10 more curry puffs than sandwiches. How much did he pay for each sandwich?
Worked solution
Sandwiches $+$ curry puffs $= 20$ and curry puffs $= $ sandwiches $+ 10$, so sandwiches $= 5$ and curry puffs $= 15$. Let each curry puff cost $\$c$
The postage rates to two different countries are shown.
Kim sent a letter weighing 35 g to Malaysia and a letter weighing 10 g to Japan. How much did she pay altogether?
1. $\$1.60$
2. $\$1.90$
3. $\$2.75$
4. $\$3.60$
Worked solution
\(\text{From the postage rates table, sum the charges for } 35 \text{ g to Malaysia and } 10 \text{ g to Japan}\)
\(\text{Total} = \$2.75\)
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