## Mathematics | Study Mode

Question 1
A

12

B

6

C

18

D

30

Explanation.

24

Question 2
A
1/3
B
(1-3)/2
C
(1+3)/2
D
1/2
E
3/2
Explanation.
Tan x=3; x=60 Cos x- sin x= ? Cos 60 - sin 60= (1/2)-(3/2) Final answer= ( 1-3)/2

Question 3
A

12

B

6

C

45

D

10

E

18

Explanation.

Oranges bought by Janet=x , from the second sentence (x/2)+1, note: it wasn't stated in the question that Ada and Philip was given the oranges, they only asked. From the fifth sentence

(X/2)+1+ 2=X, X= 6 ( by simplifying)

Question 4
A

3

B

6

C

2

D

4

E

9

Explanation.

From 1st eqn. x= 7- 3y, substitute in 2nd Eqn. 3(7-3y) + y= 5, y= 2, x=7- 3(2), x= 1

2xy=212= 4

Question 5
A

1

B

3

C

1/3

D

1/2

E

none of the above

Explanation.

From y = mx + c, m is the gradient of the equation, 3y= x+1, y =( x/3 ) + 1, m= 1/3

Question 6
A

96m

B

81m

C

18m

D

27

E

Incomplete question

Explanation.

Tan 60= T/93, T = 93 3 = 27

Question 7
A

x(x-1)

B

x+x

C

x+ x

D

x - 1

E

x + 1

Explanation.

x(x+1)(x-1)/(x+1), using difference of two square, answer= x(x-1)

Question 8
A

n

B

n + 1

C

n - 1

D

n + 2

E

n - 2

Explanation.
1+ nn= 100, using base x , 1 + nx + n= x nx+n=x -1,n(x+1)=(x+1)(x-1),dbsb x+1 n=x-1,x=n+1

Question 9
A

(14/3)cm

B

/3 cm

C

cm

D

48 cm

E

154/3 cm

Explanation.

(120/360)27 = (14/3)

Question 10
A
24
B
11
C
48
D
12
E
20
Explanation.
2+4+6=12,6/12ofx= 6,x=12

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