Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
What is the height of each block?
Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
What is the height of each block?
Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
the volume of the pail.
the minimum number of such pails to fill the tank.
Level 3 PSLE
Three boys, Az, Ben and Ix had the same number of notes. Az and Ben each had of mix of $10-notes and $2-notes. Az had 7 $2-notes while Ben had 13 $2-notes. Ix had only $10-notes.
Of the three boys, who had the most money?
What was the difference in the total value of Az and Ben's notes?
Ben used all his $10-notes to buy a present. He then had $164 less in notes than Ix. How many $10-notes did Ix have?
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.
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?
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?
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
Find the smallest possible second lowest mark among these 6 children.
Find the largest possible second lowest mark among these 6 children.
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
what is the maximum grass patch area that the horse can feed on?
find the total area of the grass patch that the horse cannot feed on.
(Take π = 3.14)
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
what is the maximum grass patch area that the horse can feed on?
find the total area of the grass patch that the horse cannot feed on.
(Take π = 3.14)
Level 1 PSLE
Cody packed 596 buttons into four cartons, labelled A, B, C and D. Carton A had the most number of buttons and Carton D had the least. The difference in the number of buttons between Carton A and the number of buttons in the other three cartons were 12, 36 and 64 respectively. How many buttons were there in Carton D?
Level 2 PSLE
Two numbers add up to 425. If one of them is a 2-digit number and the other is a 3-digit number, what is the largest possible difference between the two numbers?
Level 2
A mini-bus can take either 12 adults or 15 children. There are 6 mini-buses altogether and there are 8 adults in each of the mini-buses. What is the maximum number of children the mini-buses can still take?
Level 3 PSLE
A shelf can be packed from end to end with 30 large books or 40 small books. Andy already packed the shelf with 5 large books and 25 small books. At most, how many more large books can Kevin pack the shelf with?
Level 3 PSLE
Jasmine needs 200 pieces of ribbon, each of length 120 cm, to decorate a hall for a party. Ribbon is sold in rolls of 45 m each. What is the least number of rolls of ribbon that Jasmine needs to buy?
Level 3 PSLE
Jasmine needs 200 pieces of ribbon, each of length 120 cm, to decorate a hall for a party. Ribbon is sold in rolls of 45 m each. What is the least number of rolls of ribbon that Jasmine needs to buy?
Level 3
The figure shows two stacks of identical glasses. The height of the first stack of 8 glasses is 44 cm. The height of the second stack of 5 glasses is 32 cm. The height of the
space in the shelf is 60 cm. What is the maximum number of glasses that you can put in a single stack to be placed in this shelf?
Level 3
The figure shows two stacks of identical glasses. The height of the first stack of 8 glasses is 44 cm. The height of the second stack of 5 glasses is 32 cm. The height of the
space in the shelf is 60 cm. What is the maximum number of glasses that you can put in a single stack to be placed in this shelf?
Level 3
Tim packed 508 muffins into large and small boxes. He filled each large box with 20 muffins and each small box with 12 muffins. All the boxes were full and no muffins were left over. What was the least number of boxes used by Tim?
Level 3 PSLE
Four teams of students sold lemonade for charity.
They collected $5 for a small cup of lemonade and $10 for a big cup of lemonade.
The table shows the number of cups sold by three of the teams.
Team A: 15 Small, 5 Big
Team B: 11 Small, 9 Big
Team C: 8 Small, 10 Big
Which of the three teams collected the most money? Give your answer in letter.
What was the amount of money collected by Team A?
Team D sold as many cups of lemonade as Team A but collected $20 more. How many big cups of lemonade did Team D sell?
