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Y9 Knowledge Check - Friday 22nd January

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

What is the next term in this sequence


5, 8, 11, 14, ____

a)

16

b)

17

c)

18

d)

19

2.

What is the 5th term in this sequence?


11, 15, 19, 23, 27, 31, 35, 39

a)

15

b)

27

c)

31

d)

39

3.

The nth term rule for a sequence is 6n+2

Calculate the 3rd term in this sequence

a)

20

b)

12

c)

8

d)

65

4.

Each individual number in a sequence of numbers is called what?

a)

nth term rule

b)

Sequence

c)

Term

d)

Arithmetic

5.

What is the nth term rule for this sequence

5, 8, 11, 14

a)

2n+3

b)

3n+3

c)

3n+2

d)

2n+2

6.

What is the nth term rule for this sequence

-1, 1, 3, 5

a)

2n-3

b)

3-2n

c)

3n+2

d)

2-3n

7.

What is the nth term rule for this sequence

8, 10, 12, 14

a)

2-60

b)

6n+2

c)

2n+6

d)

6-2n

8.

What is the nth term rule for this sequence

16, 13, 10, 7,...

a)

3n+19

b)

19-3n

c)

16-3n

d)

19n-3

9.

Fill in the gap


14, ____, 26, 32, 38

a)

18

b)

22

c)

16

d)

20

10.

The nth term rule for a sequence is 4n+ 5

Calculate the 10th term in this sequence

a)

54

b)

415

c)

9

d)

45

11.

The nth term rule for a sequence is 3n-1

Calculate the 7th term in this sequence

a)

9

b)

6

c)

20

d)

27

12.

What is 1/4 of 20

a)

6

b)

3

c)

4

d)

5

13.

I ate one slice of pizza. The pizza was divided into 8 pieces. What fraction of the pizza did I eat?

a)

1/2

b)

1/4

c)

1/8

d)

1/10

14.

3/4 is bigger than 5/6

a)

True

b)

False

15.

What is the fraction of the shaded area of the shape?

a)

1/2

b)

1/8

c)

1/4

d)

4

16.

What is the fraction of the shaded area?

a)

2/6

b)

7/8

c)

5/6

d)

1/6

17.

Simplify fully

a)

20⁄28

b)

7⁄5

c)

5⁄7

d)

2⁄3

18.

Simplify fully

a)

7⁄10

b)

14⁄20

c)

7⁄5

d)

2⁄3

19.
Convert to an Improper Fraction
a)
19⁄8
b)
19
c)
8⁄18
d)
18⁄8
20.
Convert to a Mixed Number
a)
2  1⁄4
b)
1  3⁄4
c)
1  4⁄3
d)
1  2⁄4
21.
Add these Mixed Numbers
a)
6  2⁄15
b)
6  1⁄2
c)
6  3⁄5
d)
6  11⁄15
22.
Subtract these Fractions
a)
3⁄40
b)
3⁄8
c)
3⁄5
d)
13⁄40
23.
Subtract these Mixed Numbers
a)
1  15⁄16
b)
1  3⁄8
c)
1  13⁄16
d)
1  7⁄16
24.
Divide these Fractions
a)
4⁄7
b)
8⁄14
c)
7⁄16
d)
16⁄7
25.

Alice is  1 121\ \frac{1}{2}  m tall.

Kendrick is  1 581\ \frac{5}{8}  m tall
Jaya is   1 3101\ \frac{3}{10}  m tall

What is the total of all of their heights?

a)

 4 17404\ \frac{17}{40}  meters

b)

 3 9203\ \frac{9}{20}  meters

c)

 3 15403\ \frac{15}{40}  meters

d)

 4 8404\ \frac{8}{40}  meters

26.

Convert to an improper fraction

a)

3 / 34

b)

34 / 3

c)

33 / 3

d)

15 / 3

27.

Divide these Mixed Numbers

a)

52⁄161

b)

161⁄52

c)

3 5⁄52

d)

6 18⁄28

28.

Kurt drew a rectangular maze with a length of  34\frac{3}{4}    meters and a width of  512\frac{5}{12}   meters . What is the area of Kurt's maze?

a)

5/16

b)

8/16

c)

16/48

d)

15/16

29.

Arlo is making a salad dressing. He needs  \frac{2}{3}   cup of olive oil and  38\frac{3}{8}  cup of vinegar to make the dressing. 



Which expression can be used to find the amount of olive oil and vinegar Arlo needs?

a)

 224+324\frac{2}{24}+\frac{3}{24}  

b)

 211+311\frac{2}{11}+\frac{3}{11}  

c)

 1011+611\frac{10}{11}+\frac{6}{11}  

d)

 1624+924\frac{16}{24}+\frac{9}{24}  

30.

Calculate the answer to this.

Give your answer in it's simplest form.

a)

13/3

b)

13/27

c)

9/39

d)

3/13

31.

 3 110+2 133\ \frac{1}{10}+2\ \frac{1}{3}  

a)

 5  3105\ \ \frac{3}{10}  

b)

 5 2135\ \frac{2}{13}  

c)

 2330\frac{23}{30}  

d)

 513305\frac{13}{30}  

32.

Bobby has  \frac{3}{4}  of a cake.



If he shares a  18\frac{1}{8}  slice with Morgan, how much does he have left?

a)

1/8

b)

5/8

c)

3/32

d)

7/8

33.
Convert  45/12  to a Mixed Number.
a)
4  5/12
b)
3  9/12
c)
3  3/4
d)
9  3/12
34.

Calculate the answer to this.

Give your answer in its simplest form.

a)

5 / 18

b)

16 / 15

c)

28 / 9

d)

4 / 9

35.

 1 57  9111\ \frac{5}{7}\ -\ \frac{9}{11}  

a)

 1 46771\ \frac{46}{77}  

b)

 2 41772\ \frac{41}{77}  

c)

 6977\frac{69}{77}  

d)

 877\frac{8}{77}  

36.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
37.

Is this a correct answer?

a)

Yes, the student correctly added.

b)

No, you need to have a common denominator

c)

No, 5 + 7 is not 12

d)

No, 2 + 3 is not 5

38.
a)
3/20
b)
1/1
c)
3/9
d)
1/9
39.

Winnie needs pieces of string for a craft project.
How many  \frac{3}{7}  inch pieces of string can she cut from a  2 152\ \frac{1}{5}  inch piece of string?

a)

5 pieces of string

b)

33/35 pieces of string

c)

4 pieces of string

d)

62/35 yards

40.

 111234\frac{11}{12}-\frac{3}{4}  

a)

8/8

b)

 16\frac{1}{6}  

c)

 812\frac{8}{12}  

d)

 824\frac{8}{24}