Exam number 1: Đi tìm kho báu

Question 1:
There are 40 students in Mrs. Brown's class. 25% of her students received a B on the test. How many students received a B?

• a. 10
• b. 12
• c. 18
• d. 20

Question 2:

What is the product of 3.05 and 2.8?

• a. 8.54
• b. 8.056
• c. 8.56
• d. 8.054

Question 3:

A clothing shop is having a 40% off sale. How much would Jane have to pay for a $30 sweater with a 40% discount?

• a. $18
• b. $20
• c. $50
• d. $13

Question 4:

If a pen costs $1.75 and an eraser costs $0.85, which of the following is the cost of 10 erasers and 5 pens?

• a. $21.75
• b. $26
• c. $18.75
• d. $17.25

Question 5:

If the area of the rectangle ABCD is 60cm² then the area of the trapezoid MNCD is ..........cm².

 

• a. 48
• b. 50
• c. 45
• d. 54

Question 1:
Compare: 

Question 2:
Compare: A =  and B = 
Answer: A  B

Fill in the blank with the suitable number

Question 3:
Calculate: 
The value of A is 

Question 4:
Calculate: 
The value of A is 

Question 5:
Find two consecutive even numbers if the first number is  of the second number.
Answer: The second number is 

Question 6:
There are 49 students in a class. Boy students are  the number of girl students. There are  girl students in this class.

Question 7:
How many natural numbers not greater than 1665 which are divisible by 5?
Answer:  numbers

Question 8:
Calculate: 
The value of A is 

Question 9:
How many 3 - digit numbers are divisible by 2, 3 and 5?
Answer:  numbers.

Question 10:
If  then  is 

Fill in the blank with the suitable number

Question 1:
There are 49 students in a class. Boy students are  the number of girl students. There are  girl students in this class.

Question 2:
Calculate: 
The value of A is 

Question 3:
Calculate: 
The value of A is 

Question 4:
Jessica is 8 years old. Her grandmother is  of her age. How old is Jessica's grandmother?
Answer:  years old.

Question 5:
If the sum of denominator and numerator of a fraction is 52 and the denominator is 18 units more than the numerator then the numerator is 

Question 6:
Find two consecutive even numbers if the first number is  of the second number.
Answer: The second number is 

Question 7:
Calculate: 
The value of A is 

Question 8:
How many natural numbers not greater than 1665 which are divisible by 5?
Answer:  numbers

Question 9:
If  then  is 

Question 10:
The sum of three consecutive even numbers is 960. The greatest numbers is 

Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~
  

Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.

22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.

23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.

24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.

25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~

Fill in the blank with the correct number

Question 1:
Complete the number pattern: 
 0,3,8,15,24,,48.

Question 2:
Find the area of the shaded region if A and B are squares of sides 5cm and 8cm respectively. 

Answer: The area of the shaded region is  .
(write your answer by decimal in simplest form)

Question 3:
If , compute =.

Question 4:

The side of each square grid is 2cm. Find the area of the shaded region.
Answer: The area of the shaded region is  .

Question 5:
If , find the value of m in .
Answer: m=.

Question 6:
How many whole numbers between 1 and 100 are not divisible by 3 or 11?
Answer:  numbers.

Question 7:
Evaluate:
=.
(round to four decimal places)

Question 8:
Evaluate:
=.
(write your answer by decimal in simplest form)

Question 9:
Find the whole number A knowing that A is 9 units greater than the average of A, 38, 45 and 67.
Answer: A=.

Question 10:
Find the whole number C knowing that C is 14 units smaller than the average of C, 68, 72, 99.
Answer: C=.