Free Printable MATHira-MATHibay (Difficult)

1.

Considering the given figure, which correctly describes a pair of corresponding angles?

a)

They have the same measure

b)

They have the same vertex

c)

They are cut by a transversal

d)

They are all parallel

2.

In the figure, triangle ABE is congruent to triangle CBD.

Which will NOT justify this statement?

a)

Line segment AD is congruent to line segment EC

b)

Angle E is congruent to angle D

c)

Line segment AB is congruent to line segment BC

d)

Angle C is congruent to angle B

3.

In circle 0, EF is a diameter. If m<FOD = 52◦. What is the measure of arc DEF?

a)

52◦

b)

256◦

c)

104◦

d)

308◦

4.

The equation of a circle whose center is at (3,4) and whose radius is 5.

a)

$\left(x-4\right)^2+\left(y-3\right)^2=25$

b)

$\left(x+4\right)^2+\left(y+3\right)^2=25$

c)

$\left(x+3\right)^2+\left(y+4\right)^2=25$

d)

$\left(x-3\right)^2+\left(y-4\right)^2=25$

5.

$P(x)=-3x^3+2x^2-5x+1$ Which among the following binomial will have the greatest remainder when used as divisor of P(x)?

a)

$x-1$

b)

$x+1$

c)

$x-2$

d)

$x-3$

6.

$P(x)=2x^4-3x^3+3x^2+x+1$ What is the remainder when P(x) is divided by the binomial x – 1?

a)

0

b)

1

c)

3

d)

4

7.

How will you describe the zeros of a function if the discriminant is greater than 0?
$b^2-4ac>0$

a)

There are two zeros real and equal.

b)

There are two zeros not real and unequal.

c)

There are two zeros real and unequal.

d)

There are no real roots.

8.

$8.f(x)=x^2-11x+28$
At what point will the graph touch or cross the x- axis?

a)

-4 and -7

b)

4 and 7

c)

-2 and -14

d)

2 and 14

9.

$f(x)=x^2-4x-5$
What should be added to both sides of the equation to complete the square?

a)

3

b)

4

c)

5

d)

6

10.

Rowena’s average in her 7 subjects is 86. What must be her ratings in the 8^th subject so that her average will increase by 1 point?

a)

88

b)

87

c)

94

d)

90

11.

The school canteen tables are all the same in length. When 14 tables are placed end to end, they reach the length of the room. If the length of the room is 31.5 meters, find the length of each table.

a)

1.25m

b)

2m

c)

2.25m

d)

2.5m

12.

Jeff is 10 years old and his brother is 2 years old. In how many years will Jeff be twice as old as his brother?

a)

6 years

b)

8 years

c)

4 years

d)

10 years

13.

$\ b^{n+m}=32,\$ $b^{n-m}=2,$ and $b^{nm}=64.$
Find the values of b, m, and n.

a)

b= 2, m= 2, n=3

b)

b= 2, m= 3, n= 3

c)

b= 3, m= 2, n= 4

d)

b= 2, m= 2, n= 2

14.

$\sqrt{x+2}=12$
Solve for the value of x.

a)

10

b)

14

c)

144

d)

142

15.

$x-7,$ $4x-5,$ $7x-3,$ $10x-1,\ ...$
Find the common difference of the sequence $3x-2.$

a)

$3x-2$

b)

$3x+2$

c)

$-3x+2$

d)

$-3x-2$

MATHira-MATHibay (Difficult)

Total questions: 15

Worksheet time: 8mins

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