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MATH BRAIN CHALLENGE 2022 : CLUB EDITION

Total questions: 20

Worksheet time: 7mins

Name
Class
Date
1.

Which of the following is greater than 4?

a)

10\sqrt[]{10}  

b)

19/5

c)

25/7

d)

3 2\sqrt[]{2}  

2.

Which of the following fractions is equal to 5/6?

a)

20/30

b)

15/24

c)

25/30

d)

40/54

3.

Find the missing term in the sequence of numbers:

19, 26, 33, __, 47.

a)

40

b)

41

c)

42

d)

43

4.

Two angles in a triangle measure 35° and 50°. What is the measure of the third angle?

a)

70°

b)

95°

c)

105°

d)

120°

5.

The formula V = 13πr2hV\ =\ \frac{1}{3}\pi r^2h  is used to find the volume of which solid figure?

a)

cone

b)

sphere

c)

cylinder

d)

pyramid

6.

John has P5,025.00. He used 1/3 of his money to buy a jacket. How much does the jacket cost?

a)

P1,650.00

b)

P1,500.00

c)

P1,675.00

d)

P1,710.00

7.

Which of the following is a solid with three rectangular faces and two triangular bases?

a)

rectangular prism

b)

triangle-based pyramid

c)

rectangle-based pyramid

d)

triangular prism

8.

It is the set of all the elements in the universal set that are not in the given set?

a)

Subset

b)

Union

c)

Complement

d)

Intersection

9.

I am a number between 20 and 30. I am a multiple of both 3 and 4. What number am I?

a)

22

b)

27

c)

24

d)

28

10.

A cube has a side length of 3 cm. What is its volume?

a)

27 cm3cm^3  

b)

90 cm3cm^3  

c)

81 cm3cm^3  

d)

18 cm3cm^3  

11.

What is the volume of the rectangular box with the dimensions

6 cm x 3 cm x 14 cm?

a)

252 cm3cm^3  

b)

1,512 cm3cm^3  

c)

756 cm3cm^3  

d)

23 cm3cm^3  

12.

Find the square root of the mean of the following set of numbers:

40, 45, 63, 71, 28, 47.

a)

49

b)

7

c)

2,401

d)

14

13.

Simplify the following expression, where a and b are not equal to 0:

a5a10b6a8a6b4b2\frac{a^5a^{10}b^6}{a^8a^6b^4b^2}  

a)

1/a

b)

1/b

c)

a

d)

b

14.

If 50% of a number is 20, what is 75% of the number?

a)

30

b)

40

c)

60

d)

80

15.

What is the sum of the first six prime numbers?

a)

41

b)

39

c)

27

d)

43

16.

Simplify:

112+14+18+1161-\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}  

a)

3/4

b)

7/8

c)

5/32

d)

15/16

17.

In a class of 53 students, students are allowed to join in either or both sports. 23 joins basketball and 31 joins volleyball. How many students does not join either of the two sports?

a)

7

b)

10

c)

15

d)

23

18.

Factor completely:

x34xx^3-4x  

a)

(x1)(x1)(4)\left(x-1\right)\left(x-1\right)\left(4\right)  

b)

x(x2)(x+2)x\left(x-2\right)\left(x+2\right)  

c)

x3(4x)x^3\left(-4x\right)  

d)

(x2+1)(x+4)\left(x^2+1\right)\left(x+4\right)  

19.

For what value of n will 5n + 27n + 1\frac{5n\ +\ 2}{7n\ +\ 1}  reduce to 34\frac{3}{4}  ?

a)

3

b)

4

c)

5

d)

6

20.

Ten percent of 450 is 20% of what number?

a)

172

b)

225

c)

310

d)

540