21 P6.PA.JC.22050605
Level 3
The first 15 numbers of a number pattern are given.
  1. What is the 582nd number?
  2. What is the sum of the first 583 numbers?
3 m
Sets Division with remainder
22 P6.AG.NK.21061103
Level 3 PSLE
The original price of a pen was $w. John bought 10 pens. He was given a discount of $1 for every 2 pens. How much did he pay altogether?
2 m
Algebra in 1 variable Sets Discount
23 P6.RD.JC.22031808
Level 3 PSLE
The number of boys and girls taking part in a quiz are in the ratio 4 : 7. These students are put into two groups. 60% of the boys and 30% of the girls are in Group 1. The rest of the students are in Group 2.
  1. What is the ratio of the number of students in Group 2 to Group 1? Give your answer in the simplest form.
  2. The number of boys in Group 2 is fewer than 50. What is the largest possible total number of students taking part in the quiz?
3 m
F Multiplication Finding ratio R Simplest form Ratio to units Percent of a set Sets Min-max
24 P6.SP.JC.18011001
Level 3
At a factory, Bryan could assemble 7 robots in a day while Francis could assemble 4 more robots than him in a day. If Francis was absent for 3 days, how many days would he need to assemble 17 more robots than Bryan?
3 m
Rate more than 1 object W Remainder Sets More than or less than
25 P6.DE.JC.17072705
Level 3 PSLE
Anna started a savings plan by putting 2 coins into a money box every day. Each coin was either a 20¢ or 50¢ coin. Her mother also put in $1 note in the box every 3 days. The total value of the savings after 156 days was $155.20.
  1. How many coins were there altogether?
  2. How many of the coins were 50¢ coins?
4 m
D 4 operations Sets Make supposition
26 P6.DA.TL.18011919
Level 3
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?
3 m
Average Mass W 4 operations Sets Mass Repeated identity Units & parts & boxes
27 P6.PA.JM.18011214
Level 3
Study the number pattern.
What is the number in the 100th position?
4 m
Sets Repeated patterns
28 P6.PA.JC.19091413
Level 3 PSLE
In which column will the number 541 appear in each of the following tables?
  1. Table 1
  2. Table 2
4 m
Sets Division with remainder
29 P6.DE.JC.17111801
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
4 m
LCM Sets Length Unit conversion More than or less than Equal stage Intervals
30 P6.RA.TL.16010155
Level 3
Oscar bought some mangosteens and coconuts in the ratio of 2 : 5 respectively. The cost of a mangosteen was $1.50 more than the cost of a coconut. He spent a total of $81 buying the mangosteens and coconuts. The total cost of the coconuts was $9 more than the total cost of the mangosteens. How much did 1 mangosteen cost?
5 m
Ratio to units Money More than or less than Sets Units table
31 P6.PA.JM.18011228
Level 3
The table shows the day of the week that 1st January falls on from year 1981 to 2000. Note that Day 1 of the week is a Monday and Day 7 is a Sunday. There are 31 days in the month of January.
  1. What number does letter C represent?
  2. What number does letter F represent?
  3. Which day of the week will 1st February 2012 fall on?
4 m
Sets Repeated patterns Systematic listing
32 P6.FR.JC.22100304
TRY FOR FREE
Level 3 PSLE
Muthu used 47 of his money to buy 6 pens. He used the rest of his money to buy 4 pens and 3 files.
  1. What fraction of his money did Methu use to buy the 3 files?
  2. If 1 file was fiven for free for every 5 files bought, How many files would Muthu be able to buy if he were to use all his money to buy files?
4 m
Attempt
Fraction of a whole Fraction of a set F 4 operations Remainder concept Sets
33 P6.FR.JC.23030105
Level 3 PSLE
Matthew spent 37 of his money to buy 6 identical pens. He spent the rest of his money to buy another 4 such pens and 3 identical files.
  1. What fraction of Muthu's money was spent to buy the 3 files? Give your answer in the simplest form
  2. For every 5 files bought, 1 additional file was given free. How many files would Matthew get in total if he were to spend all his money to buy files only?
4 m
F Multiplication Fraction to units Remainder concept Sets Units method
34 P6.RD.TL.16010193
Level 3
Ruth spent $84 on some staplers, markers and files. The ratio of the amount of money she spent on the staplers, markers and files was 5 : 8 : 1. The markers were sold at 10 for $4. The number of staplers she bought was 12 the number of markers. The number of files she bought was 35 the number of markers. Find the price of 1 stapler.
5 m
Fraction to units Ratio to units Money Sets Repeated identity Units table Units & parts Substitution
35 P6.DE.JO.21042237
Level 3 PSLE
In a shop, candles are sold only in boxes. A box of 8 short candles costs $2.30 and a box of 5 long candles costs $3.70.
  1. Dan wants 17 short candles and 3 long candles for his lanterns. What is the least amount of money that Dan will need to spend on the candles?
  2. Zara bought 14 more long candles than short candles from the shop. The total number of candles she bought was fewer than 50. How much did Zara spend on the candles altogether?
5 m
D 4 operations W Remainder Multiples Min-max Sets Systematic listing Money More than or less than
36 P6.FR.JC.16010143
Level 3
In a thrift shop, the number of beads was 23 of the total number of beads and erasers together. The shopkeeper sold the beads and erasers in sets of 1 bead and 4 erasers. After selling all the erasers, he still had 133 beads left. How many erasers were in the thrift shop at first?
4 m
Fraction to units All change Sets Units table Units manipulation
37 P6.AP.TL.17090725
Level 3
  1. The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
  2. Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
3 m
Rectangle Circumference Semicircle Sets Units & parts
38 P6.PC.JL.19043001
Level 3
During a sale, the discount given by Shop A and Shop B are as shown:
Shop A - Discount of $6 for every $30 spent
Shop B - 20% off Storewide

  1. Mary wants to buy a dress. The price of the dress before discount in both shops is $280. What is the savings that Mary makes if she buys at the shop that sells the same dress cheaper?
  2. Linda bought a belt and a handbag from Shop A and paid $168. What was the total cost of the belt and the handbag before the discount?
  3. The price of the same handbag after discount at Shop B is $38.40. Given that the price of the handbag before discount is the same in both shops, what is the percentage discount given to the handbag at Shop A? Round off the answer to 1 decimal place.
5 m
Percent of a whole Discount Sets W Remainder
39 P6.FR.TL.16010158
Level 3
Nick spent $716 on jackets and cardigans. The number of cardigans he bought was 12 the number of jackets he bought. The cost of a cardigan was $11 more than the cost of a jacket. He paid $180 more on jackets than on cardigans. Find the cost of 8 jackets and 5 cardigans.
5 m
Fraction to units Money More than or less than Sets
40 P6.FR.JC.17041001
Level 3
A shop owner paid a total of $520 for some shirts and some blouses. He paid $200 less for the shirts than the blouses. Each blouse cost $4 more than each shirt. The number of shirts he bought was 23 of the number of blouses bought.
  1. How much did he pay for all the shirts?
  2. How many shirts did he buy?
5 m
Fraction to units Money More than or less than Sets

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