## MATHEMATICS Study Mode

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11.

If S = $\sqrt{{t}^{2}-4t+4}$, find t in terms of S.

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A.

S + 2

B.

S – 2

C.

S2 + 2

D.

S2 – 2

12.

if x – 4 is a factor of x2 – x – k, then k is

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A.

12

B.

20

C.

2

D.

4

13.

The remainder when 6p2 - p2 - 47p + 30 is divided by p – 3 is

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A.

42

B.

63

C.

18

D.

21

14.

P varies jointly as m and u, and varies inversely as q. Given that p=4, m=3 and u= 2 when q = 1, find the value of p when m = 6, u = 4 and q =  3/5.

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A.

15

B.

10

C.

200/5

D.

120/5

15.

If r varies inversely as the square root of s and t, how does s vary with r and t?

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A.

s varies inversely as r2 and t.

B.

s varies directly as r2 and t2 .

C.

s varies directly as r and t.

D.

s varies inversely as r and t2 .

16.
Evaluate 3(x + 2) > 6(x + 3)
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A.
x > −4
B.
x < −4
C.
x > 4
D.
x < 4

17.

The graph above is correctly represented by

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A.

y = x2 – 3x + 2

B.

y = x2 – x – 1

C.

y = x2 + x – 2

D.

y = x2 – x – 2

18.

Solve for x: [x - 2] < 3

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A.

−2 < x < 3

B.

−1 < x < 5

C.

x < 1

D.

x < 5

19.
If the sum of the first two terms of a G. P is 3, and the sum of the second and the third terms is −6, find the sum of the first term and the common ratio.
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A.
−3
B.
−5
C.
5
D.
−2

20.

The nth term of the progression $\frac{4}{2},\frac{7}{3},\frac{10}{4},\frac{13}{5}$... is

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A.

$\frac{3n+1}{n+1}$

B.

$\frac{3n+1}{n-1}$

C.

$\frac{3n-1}{n+1}$

D.

$\frac{1-3n}{n+1}$