Free Printable MATH QUIZ WITH SOPHIA 2

1.

Evaluate $212_3-121_3+\ 222_3$ in base 3

a)

1222

b)

1020

c)

1000

d)

313

2.

If $5^{\left(2x+y\right)}=5^1\ and\ 4^{\left(x+3y\right)}=4^2.\ Find\ 3^{\left(x+y\right)}$

a)

3

b)

0

c)

$3^{\frac{4}{5}}$

d)

27

3.

Divide $x^3-2x^2-5x+6\ by\ x-1$

a)

$x^2-x-6$

b)

$x^2-5x-6$

c)

$x^2-7x+6$

d)

$x^2-5x+6$

4.

The angles of a quadrilateral are $5x-30,\ 4x+60,\ 60-x,\ and\ 3x+61.$ Find the largest of these angles.

a)

$19^o$

b)

$136^o$

c)

$41^o$

d)

$172^o$

5.

A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo while 9 students speak both languages. How many students do not speak either if the two languages?

a)

11

b)

20

c)

9

d)

0

6.

The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers.

a)

$3P$

b)

$\frac{P}{3}$

c)

$\frac{3P}{2}$

d)

$\frac{5P}{2}$

7.

A variable y is inversely proportional to the square of x, when y = 10, x = 2. Find y, when x = 10.

a)

0.4

b)

4

c)

0.1

d)

1

8.

At what rate would a sum of #10,000 deposited for 10 years raise a simple interest of #1,500?

a)

6%

b)

3%

c)

2%

d)

1.5%

9.

Arrange $\frac{2}{3},\ \frac{11}{13},\ \frac{5}{6},\ \frac{1}{2},\ \&\ \frac{3}{5}$ in ascending order

a)

$\frac{11}{13},\ \frac{5}{6},\ \frac{2}{3},\ \frac{3}{5},\ \frac{1}{2}\$

b)

$\frac{5}{6},\ \frac{2}{3},\ \frac{11}{13},\ \ \frac{3}{5},\ \frac{1}{2}$

c)

$\frac{1}{2},\ \frac{3}{5},\ \ \frac{2}{3},\ \frac{5}{6},\ \frac{11}{13}\ \ \$

d)

$\frac{2}{3},\frac{3}{5},\frac{5}{6},\ \frac{11}{13},\ \frac{1}{2}$

10.

If selling an article for #81, a trader makes a profit of 8%, determine the cost price of the article.

a)

#75

b)

#75.52

c)

#74.52

d)

#74

11.

If a function is defined by $f\left(x+1\right)=3x^2-x+4,\ find\ f\left(0\right).$

a)

0

b)

2

c)

6

d)

8

12.

Convert $1231_4$ to a number in base 6.

a)

103

b)

105

c)

301

d)

501

13.

If $x=\left\{all\ prime\ factors\ of\ 44\right\}\ and\ y=\left\{all\ prime\ factors\ of\ 60\right\}.\ x\cup y\ and\ x\cap y$ are respectively ______ and _______

a)

$\left\{2.\ 3.\ 5.\ 11\right\}\ and\ \left\{2\right\}$

b)

$\left\{3,\ 4,\ 5,\ 11\right\}\ and\ \left\{3,\ 4\right\}$

c)

$\left\{2,\ 5,\ 11\right\}\ and\ \left\{2\right\}$

d)

None

14.

Find the value of $110111_2+10100_2$

a)

$1101011_2$

b)

$100101_2$

c)

$1001011_2$

d)

$1001111_2$

15.

A man made a profit of 5% when he sold an article for #60,000. How much would he have to sell the article to make a profit of 26%?

a)

#72,000

b)

#70,000

c)

#68,000

d)

#65,000

16.

In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both?

a)

30%

b)

50%

c)

10%

d)

14%

17.

If p, q and r are in the ratio 6:4:5, find the value of $\frac{3p-q}{4q+r}$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{3}{5}$

d)

$\frac{5}{3}$

18.

Evaluate $\left(125\right)^{-\frac{1}{3}}\times\left(0.49\right)^{-\frac{1}{2}}$

a)

$\frac{7}{20}$

b)

$\frac{20}{7}$

c)

$\frac{5}{7}$

d)

$\frac{7}{5}$

19.

A man donate 10% of his monthly net earnings to his church. If it amounts to #4,500, what is his net monthly income?

a)

#40,500

b)

#62,500

c)

#52,500

d)

#45,000

20.

Factorise $2y^2-15y+18$

a)

$\left(2y+3\right)\left(y-6\right)$

b)

$\left(3y+2\right)\left(y-6\right)$

c)

$\left(2y-3\right)\left(y+6\right)$

d)

$\left(2y-3\right)\left(y-6\right)$

21.

If a function is defined by $f\left(x+1\right)=3x^2-x+4,\ find\ f\left(1\right).$

a)

2

b)

4

c)

6

d)

8

22.

Find the value of $\frac{3x-2y}{2x+y}$ if $x=3\ and\ y=4$

a)

0.1

b)

0.2

c)

1

d)

2

23.

What is the sum of the first 10 terms of the arithmetic progression: 2, 5, 8, 11, ...?

a)

85

b)

95

c)

100

d)

155

24.

Factorise $x^2-5x+6$

a)

$\left(x-2\right)\left(x-3\right)$

b)

$\left(x+2\right)\left(x-3\right)$

c)

$\left(x-2\right)\left(x+3\right)$

d)

$\left(x+2\right)\left(x+3\right)$

25.

What is the value of $f\left(2\right)\ if\ f\left(x\right)=2x^2-5x+3$ ?

a)

1

b)

3

c)

5

d)

7

26.

Factorise $3x^2-7x+2$

a)

$\left(3x-1\right)\left(x-2\right)$

b)

$\left(3x+1\right)\left(x-2\right)$

c)

$\left(3x-2\right)\left(x+1\right)$

d)

$\left(3x+2\right)\left(x-1\right)$

27.

If a function is defined by $f\left(x+1\right)=4x^2-3x+5,\ find\ f\left(1\right).$

a)

2

b)

4

c)

6

d)

8

28.

Factorise $2x^2-11x+5$

a)

$\left(2x-1\right)\left(x-5\right)$

b)

$\left(2x+1\right)\left(x-5\right)$

c)

$\left(2x-5\right)\left(x+1\right)$

d)

$\left(2x-5\right)\left(x-1\right)$

29.

Factorise $4x^2-12x+9$

a)

$\left(2x-3\right)^2$

b)

$\left(2x+3\right)^2$

c)

$\left(2x-3\right)\left(2x+3\right)$

d)

$\left(4x-3\right)^2$

30.

The __________ of two sets A and B is the third set containing only elements common to both A and B.

a)

Union

b)

Intersection

c)

Disjoint

d)

Null

31.

The _______ of two sets A and B is the third set which contains all the elements of A or B or both A and B.

a)

Union

b)

Intersection

c)

Disjoint

d)

Null

32.

The __________ of a set P is the set of elements which do not belong to set P but are present in the Universal set.

a)

Null

b)

Disjoint

c)

Complement

d)

Subset

33.

A set whose elements or members cannot be counted is known as a/an ________ set.

a)

Finite set

b)

Infinite set

c)

Null set

d)

Disjoint set

34.

A set whose elements or members are countable is known as a/an ________ set.

a)

Disjoint

b)

Finite

c)

Infinite

d)

Null

35.

A set that contains the total collection of all the members/elements under discussion is known as the _____________.

a)

Finite set

b)

Infinite set

c)

Subset

d)

Universal set

36.

If all the elements in set A is contained in a set B, set A is said to be a ________ of set B.

a)

Empty set

b)

Null Set

c)

Subset

d)

Disjoint set

37.

$U\ =\ \left\{m,\ a,\ g,n,\ e,\ t,\ i,\ c\right\}$

$X\ =\ \left\{a,\ g,\ e,\ n,\ t\right\}$

$Y\ =\ \left\{m,\ a,\ g,\ i,\ c\right\}$

$Z\ =\ \left\{e,\ n,\ g,\ i,\ m,\ a\right\}$

What is the cardinality of the Set $X\ \cap Y\cap Z$ ?

a)

0

b)

1

c)

2

d)

3

38.

Convert $241_5$ to base 8.

a)

$71_8$

b)

$107_8$

c)

$176_8$

d)

$241_8$

39.

Simplify $213_4\ \times\ 23_4$

a)

$13211_4$

b)

$10311_4$

c)

$10321_4$

d)

$12231_4$

40.

Factorise $3x^2-11x+6$

a)

$\left(3x-2\right)\left(x-3\right)$

b)

$\left(3x+2\right)\left(x-3\right)$

c)

$\left(3x-2\right)\left(x+3\right)$

d)

$\left(3x+2\right)\left(x+3\right)$

MATH QUIZ WITH SOPHIA 2

Total questions: 40

Worksheet time: 54mins

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