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15-03-24 - CC_Track_1_test_iot

Total questions: 66

Worksheet time: 4hrs 23mins

Name
Class
Date
1.

 Which of the following is a surd?

a)

 \(\sqrt{81}\) 

b)

\(\sqrt{2}\) 

c)

\(8^{\frac{1}{3}}\) 

d)

\(\sqrt{4}\) 

e)

\(\sqrt{36}\) 

2.
(ab8c)(a-17c10)
a)
a17b8c11
b)
a16b8c11
c)
(b8c11)/(a16)
d)
a-17b8c10
3.

Simplify  (3a-1c-5) / d0

a)

1

b)

3/ac^5

c)

3a/c^5

d)

1/3a^1c^5d

4.

Reduce the following surds:    884 − 5848\sqrt{84}\ -\ 5\sqrt{84}  

a)

3213\sqrt{21}  

b)

2212\sqrt{21}  

c)

6216\sqrt{21}  

d)

5215\sqrt{21}  

5.

What is the correct law for multiplication? am x an=

a)

am+n

b)

am + an

c)

amxn

d)

amn

6.

Which is greater, 26540 or 50>?

a)

2654^0

b)

5^0

c)

They are the same

d)

Zero is greater

7.
Simplify completely:
√27 + 2√3
a)
5√3
b)
√27 + 2√3
c)
11√3
d)
2√81
8.

Which one would you multiply by to rationalise this surd:

736\frac{7}{3\sqrt{6}}  

a)

√6

b)

3√6

c)

2√3

d)

3 - √6

9.

Expand and simplify ...


(2 + √3)(1 + √3)

a)

5 + 3√3

b)

2 + 3√3

c)

5 + √3

d)

11 + 3√3

10.
Simplify fully: 
2√45 - 5√45 + 9√16
a)
-9√5 + 36
b)
-3√45 + 144
c)
6√16
d)
6√106
11.

m2 × n3 × m6 =

a)

m8n3

b)

m6n3

c)

mn11

d)

mn11

12.

Find the value of x if 162x − 1 = 64.

a)

1.5

b)

1.25

c)

-1.25

d)

45\frac{4}{5}

13.

Simplify fully:

√32

a)

434\sqrt{3}

b)

424\sqrt{2}

c)

525\sqrt{2}

d)

282\sqrt{8}

14.
Rationalise the Denominator:
3/√5
a)
3√5/5
b)
3√5/25
c)
√5/5
d)
√5/3
15.

Expand and simplify (3−22)(3+2)\left(\sqrt{3}-2\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)  

a)

−1−6-1-\sqrt{6}  

b)

1+61+\sqrt{6}  

c)

−1+6-1+\sqrt{6}  

d)

−16-1\sqrt{6}  

16.
Simplify: 
√5 x √6
a)
2√15
b)
√11
c)
√30
d)
3√10
17.

Simplify:

25 x 6

5 x 3

a)

20x3

b)

5x9

c)

5x3

18.

Simplify: (4pq3)2 ÷ (2p2q)3

a)

2p^-4q^3

b)

8p^4q^3

c)

16p^4q^2

d)

4p^-4q^2

19.

5 230 000 written in scientific notation is:

a)

5.23×1045.23\times10^4

b)

5.23×1055.23\times10^5

c)

52.3×10−552.3\times10^{-5}

d)

5.23×10−65.23\times10^{-6}

e)

5.23×1065.23\times10^6

20.

Which of the following has three significant figures?

a)

0.4056

b)

0.0705

c)

990

d)

3200

e)

1.00045

21.



(a)  

22.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

23.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

24.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

25.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

26.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

27.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

28.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

29.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

30.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

31.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

32.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football only?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

33.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play all three sports?

a)

31/80

b)

45/80

c)

62/80

d)

67/80

34.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

35.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby but not Football?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

36.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

37.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

38.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Rugby or Hockey?

a)

75/80

b)

8/80

c)

13/80

d)

44/80

39.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Rugby or Hockey but not Football?

a)

75/80

b)

8/80

c)

13/80

d)

44/80

40.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play Rugby?

a)

24/80

b)

77/80

c)

23/80

d)

17/80

41.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play Football?

a)

14/80

b)

13/80

c)

76/80

d)

75/80

42.
Find the first term of the given sequence:
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
43.
What is the first positive term of the sequence:  -9, -5, -1, .......
a)
5
b)
4
c)
3
d)
1
44.
Create the explicit formula for the sequence:
2, 8, 14, ...
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
45.
Each individual number in a sequence of numbers is called what?
a)
Common difference
b)
Successive term
c)
Term
d)
Geometric term
46.
What is the common difference?
1213, 1172, 1131, 1090
a)
42
b)
41
c)
There is not one
d)
-41
47.
What is the 10th term of the sequence an = 20-2n
a)
40
b)
-20
c)
7
d)
0
48.
What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?
a)
Common denominator
b)
Common opposites
c)
Common domain
d)
Common difference
49.

Sn = 1 + 2 + 3 + ....... + 999
how many terms are there

a)

999

b)

1000

50.

1+2+3+4+5+6+7+8+9…+97+98+99?

a)

5,950.

b)

4,950.

c)

4,500

d)

4,750.

51.

A man walks 5 km toward the South and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?

a)

West

b)

North-East

c)

South-West

d)

South

52.

After walking 6 km, Varun turned right and travelled a distance of 2 km, then turned left and covered a distance of 10 km. In the end, Varun was moving towards the north. From which direction did Varun start his journey?

a)

North

b)

East

c)

South

d)

West

53.

Shashank started walking straight from his house towards the west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this, he is to turn right at 135° and to cover 30 m. In which direction should he go?

a)

West

b)

South-West

c)

South-East

d)

South

54.

One evening, two friends Riya and Priya were talking to each other, with their backs towards each other, sitting in a park. If Riya’s shadow was exactly to the left of her, then which direction was Priya facing?

a)

North

b)

South

c)

West

d)

East

55.

A boy goes 60 km South from A to B then goes 20 km East to C and 20 km North to D. Another girl starts from E and goes to F where the distance between E and F is equal to the length of A and B and parallel to each other, then goes 20 km West to G and then 20 km North to H. What is the distance between D and H if the distance between A and E is 60 km and A is to the West of E.

a)

20 km

b)

30 km

c)

40 km

d)

Data inadequate

56.

From his house, Saurabh went 15 km to the North. Then he turned West and covered 10 km. Then he turned South and covered 5 km. Finally turning to the east, he covered 10 km. In which direction is he from his house?

a)

East

b)

North

c)

South

d)

West

57.

Rakesh, in order to go to the university, started moving straight towards West from his house and came to a crossing. The road to the left ends in a theatre and straight ahead is the hospital. In which direction is the university?

a)

North

b)

West

c)

East

d)

South

58.

One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?

a)

East

b)

West

c)

South

d)

North

59.

Village Chimur is 20 km to the North of village Rewa. Village Rahate is 18 km to the East of village Rewa. Village Angne is 12 km to the West of Chimur. If Ajay starts from village Rahate and goes to village Angne, in which direction is he travelling from his starting point?

a)

North

b)

North-West

c)

South

d)

South-East

60.

A car starts from point A and runs 10 km towards South. It takes a left turn and runs 15 km. Now it runs 6 km after taking a right turn. Finally, it takes a right turn, runs 15 km and stops at point B. Towards which direction was the vehicle moving before it stopped at point B?

a)

North

b)

East

c)

South

d)

West

61.

Simplify:

16 x 4

4 x 2

a)

4x6

b)

2x8

c)

4x2

62.

What is the probability of selecting a red card from a deck of cards?

a)

1/52

b)

1/13

c)

1/26

63.

Find the value of x in the equation: 3x + 7 = 16

a)

x = 3

b)

x = 5

c)

x = 3.5

64.

What is the value of x if 2x + 5 = 17?

a)

6

b)

7

c)

8

d)

9

65.

Solve for y: 3y - 7 = 11

a)

6

b)

7

c)

8

d)

9

66.

What is the result of 4^3?

a)

64

b)

81

c)

16

d)

27

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