Angles
(see diagram)
What is the missing angle? (3 min)
100 degrees
There are 1746 pupils in a school. The number of boys is 172 more than the number of girls. How many boys are there? (4 min)
959 boys
List the following fractions in descending order: 5/6, 4/9, 2/5, 11/12, 3/4. (5 min)
11/12, 5/6, 3/4, 5/7, 4/9, 2/5
(see diagram)
Find the area and perimeter of both shapes. (5 min)
Square: Area 36 units2, Perimeter 24 units
Rectangle: Area 5000 cm2, Perimeter 300 cm
What is 641 x 51? (3 min)
32691
(see diagram)
The first figure is a parallelogram. The angle a is the same in both figures. What is the missing angle? (4 min)
30 degrees
104 people attended a conference. Room A had 15 less people than Room C. Room C had 4 more people than Room B. How many people were there in Room B? (6 min)
37 people
List the following numbers in ascending order: 1/3, 0.33, 5/11, 0.4, 0.43, 21/50 (6 min)
0.33, 1/3, 0.4, 21/50, 0.43, 5/11
(see diagram)
What is the area of this figure? (6 min)
72 units2
51 x 59 = 17 x a. What is a? (5 min)
177
(see diagram)
BCED is a rectangle. Angle CBE is 3/5 of angles ABC. Find angles CEB. (6 min)
54 degrees
Find the least common multiple of 14, 21, 6, 9 and 8. (8 min)
504
I bought three cake and ate 3/10 of each cake. I then split the remaining cakes among nine of my friends. How much cake did each friend get? Express your answer in simplest form. (6 min)
7/30 of a cake
Susan used 200m of fence to make a rectangular fence around her house. The width of the rectangle is 25m. What is the area inside the fence? (8 min)
1875 m2
What is 8653/56? Round your answer to the nearest whole number. (6 min)
155
(see diagram)
The diagram shows where Mary and Jane are standing. Mary walks 400 degrees clockwise. Jane walks 310 degrees anticlockwise. Who ends up closer to the school, and why? (9 min)
They are both equally close to the school.
a and b are whole numbers. The sum of a and b is 34. The product of a and b is 189. a is a prime number. What are the numbers? (10 min)
a is 7, b is 27
A chef has 1.2 litres of milk to a pudding big enough for 2 servings. If he wants to make a pudding big enough for 21 servings, how many more litres of milk will he need? (8 min)
11.4 litres
(see diagram)
What is the perimeter of this figure? (8 min)
50 units2
A hotel has 7 floors. Each floor has 35 rooms and 4 housekeepers. One room can be cleaned by one housekeeper, and the housekeepers cannot move to other floors. If the housekeepers decide to split the work evenly, how many extra rooms will be left unclean? (10 min)
21 rooms
Zimo likes walking around her house.
On Monday, she walks 3.5 rounds and another half of a right-angle turn.
On Tuesday, she walks half a round and another 15 degrees.
How many degrees did she turn in total? (10 min)
1500 degrees
Kensley thinks of a 5-digit number less than 30000.
The digit in the ones place is half the digit in the tens place.
The digit in the hundreds place is a prime number and an even number.
The digit in the thousands place is a square of the digit in the ones place.
She does not use each digit more than once. What is Kensley's number? (15 min)
19263
Jiayin baked 5 pies. She ate 1/4 of the first pie, 3/8 of the second pie. 5/7 of the third pie, 4/5 of the fourth pie, and 1/2 of the fifth pie. How much pie does she have left? Leave your answer as a mixed number in its simplest form. (10 min)
2 and 101/280
Rayna uses some string to make a rectangle of length 10 cm and width 6 cm. She uses the same length of string to make a square. Which shape has more area, and how much more? (10 min)
Square has more area, 4 cm2
This week, Kaitlyn bought 322 sweets. She ate an equal number of sweets every day from Monday to Friday. On Saturday, she ate half the number of sweets she ate on Monday. On Sunday, she ate 3 times the number of sweets she ate on Saturday. How many sweets did she eat on Friday? (10 min)
46 sweets