Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 m
Level 3
There is a 4-digit number. The digit in the hundreds place is thrice the digit in the ones place. The digit in the thousands place is the smallest even number. The sum of all the digits is 21. What is the number?
3 m
Level 3
The figure shows 4 identical rectangles (not drawn to scale). The length of each rectangle is twice its breadth. Given that the breadth of each rectangle is 4 cm, find the perimeter of the figure.
3 m
Level 3
A barrel can hold 96 ℓ of water. A tank can hold 12 more litres of water than the barrel. An aquarium can hold 3 times as much water as the tank. If the aquarium is 34 filled with water, how much more water is needed to fill the aquarium completely?
4 m
Level 3
The total mass of a kitten, a mouse and a puppy is 11 kg. The mouse is 0.4 kg heavier than the kitten. The puppy is 4 times as heavy as the mouse. Find the mass of the puppy.
4 m