Free Printable Mathcom Challenge 2021-22 (School Level)

1.

Select "True" if the statement is true, otherwise select the correct word that would make the statement true.

Point, line and plane are examples of defined terms.

a)

A. True

b)

B. Undefined terms

c)

C. Theorems

d)

D. Axioms

2.

Identify which among the given statements are true/ or false.

i. One of the ways to factor perfect square trinomials is using the trial and error method.

ii. We can check if the factored form is correct by multiplication.

a)

A. Statement i is true;statement ii is true

b)

B. Statement i is false; statement ii is true

c)

C. Both statements i and ii are true

d)

D. Both statements i and ii ar false

3.

Describe the solution of a linear inequality in two variables.

a)

A. There is an infinite solution.

b)

B. There is a unique solution.

c)

C. There are two solutions.

d)

D. There is no solution.

4.

Which of the following is a rational algebraic expression?

a)

A. $\sqrt[]{50x}$

b)

B. $5x^{\frac{1}{2}}$

c)

C. $4y^2-z^2$

d)

D. $\frac{\text{a - b}}{\text{b + a}}$

5.

What do you call the process of adding the equations to eliminate either x or y from the system of linear equations?

a)

A. cancellation

b)

B.elimination

c)

C. graphing

d)

D. substitution

6.

Which of the following is the factored form of $11f^2-\ 121h^2$ ?

a)

A. (f + 11h)

(f - 11h)

b)

B. 11 (f + 11h)

(f - 11h)

c)

C.

11 $\left(f^2-11h^2\right)$

d)

D.

11 $\left(f\ +\ 21h\right)^2$

7.

What is the sum when $\frac{4x}{ax^2+\ 2}$ and $\frac{x^2-x\ +4}{ax^2+2}$ are added?

a)

A. $\frac{x^2+5x+4}{2ax^2+4}$

b)

B. $\frac{x^2+3x+4}{2ax^2+4}$

c)

C. $\frac{x^2+3x+4}{ax^2+2}$

d)

D. $\frac{x^2+5x+4}{ax^2+2}$

8.

The variable z in the following equation is a dependent variable.

$2^z\ =n$

a)

A. True

b)

B. False

9.

Which among the following is the if-then equivalent of the following statement?

"A shape with four sides is quadrilateral".

a)

A. If a shape is quadrilateral, then the shape has four sides.

b)

B. If a shape has four sides, then the shapes is quadrilateral.

10.

Find the factors of -6 which when subtract the answer is 5.

a)

A. -1 and 6

b)

B. 1 and -6

c)

C. 2 and 3

d)

D. -2 and 3

11.

The sum of two numbers is 15. If twice the first number is added to thrice the second number their sum would be 35. What are the numbers?

a)

A. 7 and 8

b)

B. 9 and 6

c)

C. 10 and 5

d)

D. 12 and 3

12.

Tickets to a concert cost either PHP 12 or PHP15. A total of 300 tickets were sold. The total income fro, selling tickets is PHP 4,140. How many 12-peso ticket were sold?

a)

A. 120

b)

B. 180

c)

C. 1,440

d)

D. 2,700

13.

Liza is planning to buy clothes for her doll. A pair of jeans costs PHP 25, while a dress costs PHP50. She has PHP 200 in her wallet. Dhe wants to buy six items. How many pairs of jeans can she buy?

a)

A. 2

b)

B. 4

c)

C. 3

d)

D. 5

14.

A pool can be filled by Pipe 1 in 5 hours. The same pool can be filled by Pipe 1 and Pipe 2 in 3 hours. If only Pipe 2 is to be used, how long will it take for the pool to be filled?

a)

A. 5.5 hours

b)

B. 8.5 hours

c)

C. 7.5 hours

d)

D. 6.5 hours

15.

Which of the following is the factored form of $a^6-b^6$ ?

a)

A. $\left(a^4+b^4\right)\left(a^2-b^2\right)$

b)

B. $\left(a+b\right)\left(a-b\right)\left(a^4+a^2b^2+b^4\right)$

c)

C. $\left(a^3+b^3\right)\left(a^3-b^3\right)$

d)

D. $\left(a-b\right)\left(a^2+ab+b^2\right)\left(a+b\right)\left(a^2-ab+b^2\right)$

Mathcom Challenge 2021-22 (School Level)

Total questions: 15

Worksheet time: 8mins

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