A rectangular metal tank is 55cm long and 35cm wide. 20 balls of the same size are put into the tank when it is empty. Water is then poured in until the water level reaches 20cm. When the 20 balls are removed, the water level falls to 18cm. Find
a) the volume of one ball.
b) the volume of water that is poured into the rectangular tank.
The bus service numbers 06, 08 and 52 start at 6 a.m every day. In every 10 minutes, 16 minutes and 20 minutes, each bus service will have 1 bus leaving the Terminal respectively. Find the next earliest time when the three bus services will leave the Terminal at the same time.
Cup A contains k ml of water. Cup B has 40ml more water than cup A. Cup C has twice as much water as Cup B and Cup D has thrice as much water as Cup A. Water from the 4 cups was poured into an empty container.
a) How much water was in the container?
b) If k = 30, find the exact volume of water in the container.
In the triangle shown, the first diagonal line, 1, 2, 3, 4, ..., begins at 1 and each number after the first is one larger than the previous number. The second diagonal line, 2, 4, 6, 8, ... begins at 2 and each number after the first is two larger than the previous number. The nth diagonal line begins at n and each number after the first is n larger than the previous number. In which horizontal row does the number 2025 first appear?
0.4 of the red buttons and 0.2 of the blue buttons is equal to 48. 0.3 of the red buttons and 0.5 of the blue buttons is equal to 85. What is the total number of red and blue buttons?
Let be given a right triangle ABC at A ($AB<AC$). A point E lies on segment AC such that $AE=AB$. Let F be the intersection of the bisector of $\angle BAC$ and the perpendicular bisector of EC. If $\angle BFC=100^\circ$, find $\angle FBC$.
My father has bought oranges and strawberries to make smoothies for my birthday party. He has bought 50 strawberries and three fifths this amount of oranges. How many fruits has he bought in total?
Beatrice scored 76, 81, 72, and 93 marks for her four Mathematics tests. She wishes to improve her average mark by 3 marks. How many marks must she score for her next Mathematics test?
A six-digit number begins with the digit 7. The number is divisible by 9. All six digits of the number are different. Find the smallest possible value of this number.
