Mathematics Quiz Form 1

Ya Xuan writes a different positive integer on each of the fourteen cubes in the pyramid. The sum of the nine integers written on the bottom cubes is equal to 50. The integer written on each other cube is equal to the sum of the integers written on the four cubes underneath it. What is the greatest possible integer that can be written on the top cube?

• 98

• 104

• 118

• 122

In the figure, AC = 20 cm, CD = 22 cm and AE = 16 cm. AE is perpendicular to CD and BD is perpendicular to AC. Find the length of BD.

• 17.6 cm

• 18.6 cm

• 19.6 cm

• 20.6 cm

Jisel and Roana are playing a game of “battleships” on a 5×5 board. Jisel has already placed two ships as shown. She must still place a 3×1 ship so that it covers exactly three cells. No two ships can have a point in common. How many positions are there for her 3×1 ship? (The ship can be rotated).

• 5

• 6

• 7

• 8

A rectangle has sides of length 6 cm and 11 cm. One long side is selected. The bisectors of the angles at either end of that side are drawn. These bisectors divide the other long side into three parts. What are the lengths of these parts?

• 2 cm, 7 cm, 2 cm

• 3 cm, 5 cm, 3 cm

• 4 cm, 3 cm, 4 cm

• 5 cm, 1 cm, 5 cm

Five points lie on a line. Tzuu Xian finds the distances between every possible pair of points. She obtains, in increasing order, 2, 5, 6, 8, 9, k, 15, 17, 20 and 22. What is the value of k?

• 14

• 13

• 12

• 11

The diagram below shows an equilateral triangle. Calculate the perimeter, in cm, of the triangle.

• 7

• 14

• 21

• 28

In the diagram below, PVT, UVQ and QRS are straight lines. Find the value of x and of y.

• x=40⁰,y=25⁰

• x=60⁰,y=30⁰

• x=62⁰,y=35⁰

• x=66⁰,y=38⁰

The sum of two numbers is 84. If the difference between half of the first number and one-third of the second number is 2, find the two numbers.

• 24 and 60

• 32 and 52

• 36 and 48

• 40 and 44

Jie En lights a candle every 10 minutes. Each candle burns for 40 minutes and then goes out. How many candles are alight 55 minutes after she lit the first candle?

• 4

• 5

• 6

• 7

Ying Xuan has a piano lesson twice a week and Moon Haze has a piano lesson every other week. In a given term, Ying Xuan has 15 more lessons than Moon Haze. How many weeks long is their term?

• 10

• 15

• 20

• 25