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

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