Free Printable Year 7

1.

Simplify a+a+a+a

a)

$a^4$

b)

$4a$

c)

$a\times4$

d)

$4\left(a\right)$

2.

Simplify 2a+3a

a)

6a

b)

5a

c)

$6a^{2\ }$

d)

$5a^2$

3.

Simplify: 5a + 5b + 3a + 2a

a)

10a + 5b

b)

15ab

c)

$15a^2b$

d)

15ab

4.

Simplify: 6+3a + 5a + 10A + 5

a)

$11+18a$

b)

11+18a

c)

11 + 8a + 10 A

d)

29aA

5.

Simplify: 3a + 4b - 2a + 2b -7

a)

a + 6b - 7

b)

5a + 6b +7

c)

5a + 6b - 7

d)

11ab - 7

6.

2a x 3a =

a)

$5a$

b)

$5a^2$

c)

$6a$

d)

$6a^2$

7.

Simplify: 3a x 2b

a)

$5ab$

b)

$6ab$

c)

$3a\ \times\ 2b$

d)

$5\ \times a\times b$

8.

$3a\ \times2b\ \times4a$

a)

$24ab$

b)

$24a^2b$

c)

$9ab$

d)

$9a^2b$

9.

$12a^2+13a+2a+a^2$

a)

$13a^{2\ _{ }}+15a$

b)

$28a^3$

10.

Simplify: 3(a +3)

a)

$3a+6$

b)

$3a+9$

11.

2a (a - 3b)

a)

$2a^{2\ }-5ab$

b)

$2a^{2\ }+6ab$

c)

$2a^2-6ab$

d)

$2a-6ab$

12.

Simplify: $\frac{2a}{10a}$

a)

$\frac{2}{10}$

b)

$\frac{a}{5}$

c)

$\frac{1}{5}$

d)

$\frac{a}{5a}$

13.

Simplify: $\frac{3ab}{6b}$

a)

$\frac{1}{2}$

b)

$\frac{1ab}{2b}$

c)

$\frac{a}{2b}$

14.

Turn this mixed number into an improper fraction: $2\frac{3}{t}$

a)

$\frac{2t+3}{t}$

b)

$\frac{2\left(t+3\right)}{t}$

c)

You can't do it.

15.

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

a)

$2x+3$

b)

$2x+5$

c)

$2x+6$

d)

$x+6$

16.

Expand: $2\left(a+4\right)$

a)

$2a+4$

b)

$2a+6$

c)

$2a+8$

d)

$a+8$

17.

Expand: $b\left(b+4\right)$

a)

$2b+4$

b)

$b^2+4$

c)

$2b+4b$

d)

$b^2+4b$

18.

Expand: $c\left(c+6\right)$

a)

$c^2+6c$

b)

$2c+6c$

c)

$2c+6$

d)

$2c+6c$

19.

Expand: $3\left(d-4\right)$

a)

$3d-4$

b)

$3d+4$

c)

$3d+12$

d)

$3d-12$

20.

Expand: $4e\left(3-e\right)$

a)

$12e-e^2$

b)

$12e+e^2$

c)

$12e-4e^2$

d)

$12e+4e^2$

21.

Expand: $4f\left(2f+5\right)$

a)

$4f^2+20f$

b)

$8f^2+20f$

c)

$8f^2+5$

d)

$8f^2+4f$

22.

Expand: $g\left(h+7g\right)$

a)

$gh+7gg$

b)

$gh+7g^2$

c)

$gh+7g$

d)

$h+7g$

23.

$2i\left(3i+2j-6k\right)$

a)

$6i+4ij-12ik$

b)

$6i^2+4ij+12ik$

c)

$6i^2+4ij-6k$

d)

$6i^2+4ij-12ik$

24.

Expand: $3l\left(2l-4m+3n\right)$

a)

$6l^2-12lm+3\ln$

b)

$6l^2+12lm+3\ln$

c)

$6l^2-12lm-9\ln$

d)

$6l^2-12lm+9\ln$

25.

Expand: $4o\left(2o-3o^2\right)$

a)

$8o^2-12o^3$

b)

$8o^2+12o^3$

c)

$6o^2-7o^3$

d)

$6o_{ }^2+7o^3$

26.

Expand $3p^2\left(r^2+4\right)$

a)

$3p^2+12p^2$

b)

$3r_{ }^2+12p^2$

c)

$3p^2r_{ }^2+12p^2$

d)

$3p^2r^2+4$

27.

$0.1q\left(2q+30s\right)$

a)

$2q^2+3s$

b)

$2q^2+3qs$

c)

$0.1q^2+3qs$

d)

$0.2q^2+3qs$

28.

$0.2t\left(20t-4\right)$

a)

$40t^2-8t$

b)

$400t^2-80t$

c)

$4t^2-0.8t$

d)

$0.4t^2-0.08t$

29.

Simplify: $a+a+a+a$

a)

$4a$

b)

$a^4$

30.

Simplify: $b\times b\times b$

a)

$3b$

b)

$b^3$

31.

Simplify: $2c+c$

a)

$2c^2$

b)

$3c$

32.

Simplify: $3e-e$

a)

$3$

b)

$2e$

33.

$3d^2-d$

a)

$3d$

b)

$3d^2-d$

c)

$3$

34.

Simplify: $3f+2f+3f^2+2f^2$

a)

$5f+5f^2$

b)

$6f+6f^2$

c)

$10f^2$

d)

$10f^3$

35.

Simplify: $3f+2f+3f^2+2f^2$

a)

$5f+5f^2$

b)

$6f+6f^2$

c)

$10f^2$

d)

$10f^3$

36.

Simplify: $2g+3gh+5-2gh$

a)

$2g+5gh+5$

b)

$2g+gh+5$

c)

$2g+6$

37.

Simplify: $3g\left(4g\right)$

a)

$7g$

b)

$7g^2$

c)

$12g$

d)

$12g^2$

38.

$5g\left(2g\right)$

a)

$7g$

b)

$10g$

c)

$10g^2$

d)

$7g^2$

39.

Simplify: $\frac{6a}{3}$

a)

$2a$

b)

$3a$

c)

$2$

d)

$3$

40.

Simplify: $\frac{6a}{a^2}$

a)

$6$

b)

$\frac{6}{a}$

c)

$\frac{6}{a^2}$

d)

$\frac{5}{a^{ }}$

41.

Simplify: $2\left(3+y\right)$

a)

$6+y$

b)

$5+y$

c)

$5+2y$

d)

$6+2y$

42.

Simplify: $4w\left(w-2v\right)$

a)

$4w-8vw$

b)

$4w+8vw$

c)

$4w^2-8vw$

d)

$4w^2+8vw$

43.

$\frac{3}{y}+\frac{2}{y}$

a)

$\frac{5}{y^2}$

b)

$\frac{5}{y}$

44.

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

a)

$2x+3$

b)

$2x+5$

c)

$2x+6$

d)

$x+6$

45.

Expand: $2\left(a+4\right)$

a)

$2a+4$

b)

$2a+6$

c)

$2a+8$

d)

$a+8$

46.

Expand: $b\left(b+4\right)$

a)

$2b+4$

b)

$b^2+4$

c)

$2b+4b$

d)

$b^2+4b$

47.

Expand: $3\left(d-4\right)$

a)

$3d-4$

b)

$3d+4$

c)

$3d+12$

d)

$3d-12$

48.

Expand: $4e\left(3-e\right)$

a)

$12e-e^2$

b)

$12e+e^2$

c)

$12e-4e^2$

d)

$12e+4e^2$

49.

Expand: $g\left(h+7g\right)$

a)

$gh+7gg$

b)

$gh+7g^2$

c)

$gh+7g$

d)

$h+7g$

50.

Expand $3p^2\left(r^2+4\right)$

a)

$3p^2+12p^2$

b)

$3r_{ }^2+12p^2$

c)

$3p^2r_{ }^2+12p^2$

d)

$3p^2r^2+4$

51.

$a\ \times a$
is NOT the same as....

a)

$a\left(a\right)$

b)

$a^2$

c)

$a+a$

d)

$2a$

52.

$2b\ \times b$
is NOT the same as

a)

$2b\left(b\right)$

b)

$2b^2$

c)

$2b+b$

d)

$3b$

53.

$2c\ \times3c$
is NOT the same as:

a)

$2c\left(3c\right)$

b)

$5c^2$

c)

$6c$

d)

$6c^2$

e)

$2\times3\times c\times c$

54.

$3c\times4d$
is NOT the same as:

a)

$3c\left(4d\right)$

b)

$12cd$

c)

$7cd$

d)

$3\times c\times4\times d$

e)

$3\times4\times c\times d$

55.

$5e^2\times3e$

a)

$8e^3$

b)

$8e^2$

c)

$15e^3$

d)

$15e^2$

e)

You cannot simplify as they are NOT like-terms

56.

$6ef\times6e$

a)

$12ef$

b)

$12ef^2$

c)

$36ef^2$

d)

$36e^2f$

57.

$4g\times5g\times2$

a)

$20g^2\times2$

b)

$40g^2$

c)

$18g^2$

d)

$18g$

58.

$5k\left(6k^2\right)$

a)

$30k$

b)

$30k^2$

c)

$30k^3$

d)

$30K^3$

59.

$20l\left(3L\right)$

a)

$60L^2$

b)

$60l^2$

c)

$60Ll$

60.

When $a=4$
Find: $a+a+a$

a)

$3a$

b)

$3$

c)

$12$

d)

$64$

61.

When $b=3$
Find: $b^2$

a)

3

b)

6

c)

9

d)

12

62.

$e=5\ and\ f=3\$
Find the value of: $ef-f$

a)

12

b)

50

c)

10

d)

48

63.

$g=4$

Find the value of

g^2

a)

4

b)

8

c)

12

d)

16

64.

$h=2\ and\ i=5$
Find $h^3$

a)

2

b)

4

c)

6

d)

8

65.

$h=2\ and\ i=5$
Find $i^2h$

a)

20

b)

50

c)

252

d)

100

66.

z=2

Find the value of:

\left(3z\right)^3

a)

24

b)

54

c)

216

d)

18

67.

$o=7\ \ p=2\ \ q=10$

Find the value of: $q\left(o-p\right)$

a)

50

b)

105

68.

$a=4\ \ b=3\ \ c=5$

Find the value of $\left(\frac{a}{b}\right)^2$

a)

$\frac{8}{6}$

b)

$\frac{8}{9}$

c)

$\frac{16}{9}$

d)

$\frac{16}{6}$

69.

$g=4\ \ \ \ r=2\ \ \ y=5$

Find the value of:

4\left(y-r\right)^3+g

a)

47

b)

1732

c)

40

d)

112

70.

$\frac{a}{a}$

a)

0

b)

1

71.

$\frac{4c}{2}$

a)

$2$

b)

$2c$

c)

$\frac{2c}{2}$

72.

$\frac{6c}{2c}$

a)

$3$

b)

$3c$

c)

$4$

d)

$4c$

73.

$\frac{14ij}{4i}$

4 lines

74.

Find the area of this shape

a)

13 cm

b)

36cm²

c)

13cm²

d)

36cm

75.

Find the area of this shape

a)

60 units squared

b)

45 units squared

c)

65 units squared

d)

30 units squared

76.

Find the area of this shape

a)

4.5 m²

b)

5 m²

c)

9 m²

d)

6.3 m²

77.

Identify the type of triangle.

a)

Equilateral

b)

Isoceles

c)

Scalene

78.

3 × 5 = 5 × 3

a)

closure property

b)

commutativity of addition

c)

commutativity of multiplication

d)

none of these.

79.

5 x 254 x 20 = _______

a)

2540

b)

5240

c)

25400

d)

52400

80.

25 x 98 + 25 x 2 = _______

a)

2500

b)

250

c)

5200

d)

520

81.

What place is the red number holding?

a)

ones

b)

tens

c)

hundreds

82.

What place value is the 7 in in the number: 4,521,735?

a)

thousands

b)

tens

c)

hundreds

d)

hundred thousands

83.

Which digit is in the HUNDREDS place in the number 429.18?

a)

4

b)

2

c)

9

d)

1

e)

8

84.

How many tens are in 85?

a)

80

b)

8

c)

5

d)

85

85.

263.709
Which number is in the hundredths place?

a)

2

b)

9

c)

0

d)

7

86.

In the number below, what place value is the digit 2 in?
6.3529

a)

Hundredths

b)

Thousandths

c)

Ones

d)

Tenths

87.

How would you write the decimal ?
seventy-one and eight hundredths

a)

71.8

b)

7.18

c)

71.08

d)

71.008

88.

What is the value of the red digit 9.03?

a)

3 tenths

b)

3 hundreds

c)

3 tens

d)

3 hundredths

89.

Express 0.02 as percentage

a)

20%

b)

2%

c)

50%

d)

10%

90.

Which number is the greatest?

a)

2/2

b)

20%

91.

Express 23/100 as a percentage

a)

34%

b)

29%

c)

64%

d)

23%

Year 7 - Eid Day

Total questions: 91

Worksheet time: 3hrs 2mins

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