Free Printable Core IGCSE Review

1.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

2.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

3.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

4.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

5.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

6.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

7.

Which is the correct set notation for the complement of A union B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

8.

A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

9.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

10.

Write the mixed number as an improper fraction

5 ⁶/₇

(a)

11.

Write the mixed number as an improper fraction

5 ⁶/₇

(a)

12.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

13.

Compare these fractions

1/5 3/5

a)

=

b)

<

c)

>

14.

Compare fractions

5/6____1/2

a)

<

b)

>

c)

=

15.

What fractions corresponds with point B

a)

⁴/₂

b)

1 ³/₈

c)

⁹/₄

d)

¹/₂

e)

3³/₄

16.

$\frac{3}{5}\times\frac{2}{3}$

a)

2

b)

$\frac{2}{5}$

c)

3

17.

What is 3^₂in expanded form?

a)

3 x 2

b)

3 + 2

c)

3 x 3

18.

Write in index notation. 2 x 3 x 3 x 5 x 5 x 5 x 2

a)

2 x 3² x 5²

b)

2² + 3² + 5³

c)

2² x 3² x 5³

19.

All of these are prime except

a)

3

b)

9

c)

2

d)

13

20.

2 x 2 x 2 is the prime factorization of...

a)

6

b)

12

c)

22

d)

8

21.

Write 54 as a product of its prime factors.

a)

2x2x3x3

b)

2x3x3x3

c)

2x3x9

d)

6x9

22.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

23.

What factors do these numbers (18 and 27) have in common?

a)

2

b)

2 and 3

c)

3 and 3

d)

3

24.

what are the first 5 prime numbers in ascending order?

a)

2,3,4,5,11

b)

1,2,3,5,11

c)

2,3,5,7,11

d)

2,3,11,7,5

25.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

26.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

27.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

28.

6(3x + 5) + 2x

a)

20x + 5

b)

20x + 30

c)

20x + 11

d)

5x + 30

29.

Simplify the expression: 2(x + 4) + 3(2x - 5)

a)

8x - 7

b)

8x + 4

c)

5x + 23

d)

-5x + 20

30.

-2a(3+b)

a)

-6a-2ab

b)

-6a+2ab

31.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

32.

Expand and simplify

(3 + g) (5 - g)

a)

15 + 2g + g²

b)

g² + 2g + 15

c)

15 + 2g - g²

d)

15 - 2g - g²

33.

Expand (2x + 3)(3x - 2)

a)

6x² + 5x - 6

b)

6x²+13x - 6

c)

6x² - 5x - 6

d)

6x² +5x + 6

34.

(4x + 2)(x - 1)

a)

4x² - 7x - 2

b)

4x² - 2x - 2

c)

4x² - 9x - 2

d)

4x² - 7x - 2

35.

Estimate the answer to:

906 + 397

a)

1300

b)

1200

c)

1310

d)

1303

36.

Round the number 925 to the nearest ten.

a)

920

b)

930

c)

900

d)

1,000

37.

Express $24$ as a product of prime factors

a)

$4\times6$

b)

$2^2\times6$

c)

$8\times3$

d)

$2^3\times3$

38.

Simplify $x^3\times x^5$

a)

$x^{15}$

b)

$x^8$

c)

$2x^{15}$

d)

$2x^8$

39.

Simplify $2t^3\times3t^4$

a)

$5t^7$

b)

$6t^{12}$

c)

$6t^7$

d)

$5t^{12}$

40.

Simplify $\frac{d^{11}}{d^3}$

a)

$d\ ^{14}$

b)

$d\ ^{\frac{11}{3}}$

c)

$\frac{11}{3}$

d)

$d^{\ 8}$

41.

Simplify $\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a^{64}$

d)

$a^{43}$

42.

Evaluate $5^0$

a)

$50$

b)

$1$

c)

$0$

d)

$5$

43.

Simplify $\left(3d^{\ 3}\right)^2$

a)

$6d^{\ 6}$

b)

$6d^{\ 5}$

c)

$9d^{\ 6}$

d)

$9d\ ^5$

44.

Evaluate $4d^{\ 0}$

a)

$1$

b)

$4d$

c)

$4$

d)

$0$

45.

Simplify $\frac{9x^2y^5}{3x^3y^2}$

a)

$\frac{3y^3}{x}$

b)

$\frac{6y^3}{x}$

c)

$3xy^3$

d)

$6xy^3$

46.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

47.

Solve.
√9 × √100

a)

30

b)

-200

c)

900

d)

90

48.

Order from greatest to least.

a)

0.19, 0.2, 3/5

b)

0.19, 3/5, 0.2

c)

3/5, 0.2, 0.19

49.

Order from least to greatest.

a)

0.7, 7/9, 7/8

b)

0.7, 7/8, 7/9

c)

7/8, 7/9, 0.7

50.

Order the fractions from least to greatest.
⅙, ⅖, ⅗, 3/7

a)

⅙, ⅖, 3/7, ⅗

b)

⅙, ⅖, ⅗, 3/7

c)

3/7, ⅖, ⅗, ⅙

51.

Arrange the following decimals in order from least to greatest

0.59, 0.39, 0.19, 0.9

a)

0.9, 0.59, 0.39, 0.19

b)

0.19, 0.39, 0.59, 0.9

c)

0.9, 0.39, 0.59, 0.19

52.

What will make this math sentence true? >, <, =

a)

>

b)

<

c)

=

d)

none of the above

Core IGCSE Review

Total questions: 52

Worksheet time: 52mins

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