Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.
  1. Find the area of the shaded part.
  2. Find the perimeter of the dotted line. (Take π = 3.14)
4 m
Level 3
I am a number.
I have the digit 6 which is in the thousands place.
I also have the digit 8 which has a value of 80.
My digit in the ones place is 1 more than my digit in the tens place.
The value of my digit in the hundreds place is 620 more than the value of my digit in the tens place.
My digit in the ten thousands place is 2 less than my digit in the thousands place.
What number am I?
4 m
Level 3
A philanthropist bought a total of $19380 worth of toys, textbooks and clothes to donate to the needy children. The number of clothes bought was 20% more than the number of toys bought but 20% fewer than the number of textbooks bought. The toy cost $12 each and was $2 more expensive than each textbook but 40% cheaper than each piece of clothes. How many toys and textbooks did the philanthropist donate to the needy children?
5 m
Level 3
Book X has 78 fewer pages than Book Y, and Book Z has 24 more pages than Book Y. If Book X and Book Y have a total of 162 pages,
  1. how many pages does Book Y have?
  2. how many pages does Book Z have?
4 m
Level 3
The figure is made up of Rectangle X and Square Y. Their total area is 73 cm2. The area of Rectangle X is 23 cm2 greater than Square Y. Find the area of Square Y.
4 m
Level 3
On Thursday, Cindy, Diana, Kathy and Nicole spent a total of $113. On Friday, Cindy spent twice of what she spent on Thursday, Diana spent the same as what she spent on Thursday, Kathy spent $6 less than what she spent on Thursday, and Nicole spent $3 more than what she spent on Thursday. All of them spent an equal amount on Friday. How much did Cindy and Nicole spend altogether on Thursday?
4 m
Level 3
Every week, Mrs. Tan will collect 40% more vitamin pills than Mrs Nurul from the pharmacy. They each consumed 14 vitamins weekly and will leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 364 vitamin pills and Mrs. Tan's family members consumed 468 more vitamin pills than Mrs. Nurul's family.
  1. How many members are there in Mrs. Tan's family, if they each consume 14 pills weekly?
  2. How many vitamin pills does Mrs Nurul collect from the pharmacy each week?
5 m
Level 3
One eating house bought 168 kg of beef and mutton. 13 of the beef and 45 of the mutton were sold. The amount of mutton sold was 12 kg more than the amount of beef sold.
  1. How much mutton did the eating house buy?
  2. How much beef did the eating house buy?
4 m
Level 3
Eric had an equal number of cream scones, strawberry scones and vanilla scones. After he ate 28 cream scones, some strawberry scones and vanilla scones, there were 55 scones left. The number of strawberry scones he ate was thrice the number of vanilla scones he ate. The number of strawberry scones left was 22 more than the number of cream scones left. How many cream scones were there at first?
4 m
Level 3
Penelope was packing her spoons, plates and bowls to be moved to her new shop. She packed 65 more spoons than plates, and 22 more bowls than spoons. While moving 35 of her spoons and 110 of the plates were broken. The remaining 389 items were not broken. How many bowls did she have?
4 m