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)
