1. Multiple Choice Questions (3 points each)
1. What is the answer to 4 × 4 + 4 + 4 + 4 + 4 + 4 × 4 + 4 + 4 + 4 ?
32
48
60
100
144
2. Helen wrote a one-digit number and then wrote an additional digit to its right. She added 19 to the obtained number and got 72. What number did Helen write first?
2
3
5
6
7
3. Jack wishes to write different numbers from 1 to 9 in the cells of the table so that the total of the three numbers of each row and each column were equal to 15. Some of the numbers are already written there. What number must be written in place of the question mark?
Hình ảnh không có chú thích
1
2
3
4
5
4. Each friend: Mary, Elly, Paul, and Mike has exactly one of the following animals: a cat, a dog, a gold fish, and a parrot. Elly has a pet with fur. Mike has a pet with four legs. Paul has a bird, and Mary and Elly don't like cats. Which of the following sentences is not true?
Mike has a dog
Paul has a parrot
Mary has a golden fish
Mike has a cat
Elly has a dog
5. Elise had a sum of money. She gave half of it away to her brother. Then she used half of the remainder to buy a new comic book. Next she gave half of what was left to her older sister. Finally, she found that she had $7 dollars remaining. How much money did she have at first?
30
46
56
65
None of the above
6. Peter has a total of 100 chickens and rabbits on his farm. If the animals have 260 legs altogether, how many chickens are there on the farm?
30
40
50
60
70
7. There are 14 children at a party. If each child shakes hands with each other exactly once, how many handshakes will take place?
75
85
90
91
93
8. The area of the figure in the picture below is equal to:
Hình ảnh không có chú thích
30
38
44
60
None of the above
9. The weight of 3 apples and 2 oranges is 255 g. The weight of 2 apples and 3 oranges is 285 g. Each apple weighs the same and each orange weighs the same. What is the combined weight of 1 apple and 1 orange?
110 g
108 g
105 g
104 g
102 g
10. There were 25 questions in a mathematics quiz. If a question was answered correctly, 4 marks would be given, otherwise 1 marks would be deducted. If John scored 85 marks in the mathematics quiz, how many questions had he answered correctly?
20
21
22
23
24
11. Carl is four times as old as Pam, who is one third as old as Jackie. If Jackie is 18, what is the sum of their ages?
64
54
48
24
18
12. Five cities all got more rain than usual this year. The five cities are: Last Stand, Mile City, New Town, Olliopolis, and Polberg. The cities are located in five different areas of the country: the mountains, the forest, the coast, the desert, and in a valley. The rainfall amounts were: 12 inches, 27 inches, 32 inches, 44 inches, and 65 inches.* The city in the desert got the least rain; the city in the forest got the most rain.* New Town is in the mountains.* Last Stand got more rain than Olliopolis.* Mile City got more rain than Polberg, but less rain than New Town.* Olliopolis got 44 inches of rain.* The city in the mountains got 32 inches of rain; the city on the coast got 27 inches of rain. Which city is in the desert ?
Mile City
Polberg
New Town
Last Stand
Olliopolis
13. If you count 21 letters in the English alphabet from the end and 20 letters from the beginning , which letter will exactly appear in the middle of the sequence thus formed?
K
L
M
N
O
14. A, B, C, D, E, F, G, H and I are nine houses. C is 2km East of B. A is 1km North of B and H is 2km South of A. G is 1km West of H while D is 3km East of G. F is 2km North of G, I is situated just in the middle of B and C, while E is just in the middle of H and D. Find the distance between E and G.
1.5 km
2 km
3 km
4 km
None of the above
15. There is an 8-sided dice whose faces each have one different number from the set {1, 2, 3, 4, 5, 6, 7, 8}. The numbers on opposite faces always have a sum of 9. The dice is rolled twice and the two values appearing on top are multiplied. How many ways are there that this product is divisible by 9?
1
2
3
4
5

Harry and his sister, Emma, decided to cook the dinner one evening because their mother was in bed. She had a very bad headache. “How about chocolate soup? Let’s make that,” said Emma. “You can’t put chocolate in soup,” laughed her brother. “Mum only puts in tomatoes or chicken and other things like that. Let’s just make some cheese sandwiches and a chocolate cake.” “OK,” said Emma.

First, Harry made the sandwiches. “This is easy,” he thought. “No, we need flour and sugar for the cake, Harry,” said his sister. “They’re on the top shelf in the cupboard.” “OK,” said Harry. “I’ll get some butter and chocolate too. Mum always puts those in the fridge.” “All right,” said Emma. “And bring some of the big brown eggs too, please. We need to put twelve in the cake.”

Emma mixed everything together in a bowl and then put the cake in the cooker. The children were washing the floor in the kitchen when their father arrived home. “That smells great! What is it?” he said and opened the cooker to look inside. “A lovely chocolate cake!” said the children. “How many eggs did you use?” asked Dad. “Twelve,” said Emma. Dad smiled. “It will taste great, I’m sure. Let’s give it a name. How about ‘Emma’s Chocolate Egg cake’?” The children laughed and they all sat down to eat their dinner.

1.     The children’s mother had a …very bad headache…………that evening.

2.     The children decided to put ………………………………..in the sandwiches.

3.     The flour and sugar were on ……………………………………in the cupboard.

4.     Harry took the butter and chocolate from the ………………………………

5.     Emma put twelve …………………………….in the cake.

6.     When their father came in, the children ………………………………the kitchen floor.

7.     Emma and Harry’s father looked inside ………………………………….

8.     Dad called the cake ………………………………….

3. James collects 24kg of plastic and 5.25kg of used paper for the Recycle day at his school. His contribution is 5% of the total amount of plastic and 3.5% of the total amount of used paper in his school.

a) How many kg of used paper are collected on the Recycle day in total?

b) How many kg of the materials mentioned above are collected on the Recycle day altogether? 

4. In a box of cookies, there are chocolate cookies, strawberry cookies, and pineapple cookies. 26% of them are pineapple cookies. There are 48 chocolate cookies and 63 strawberry cookies. How many cookies are there in total?