Free Printable STAGE 1-MATHS E-SHOPPING

1.

Given $g\left(x\right)=5x+2,\ \ f\left(x\right)\ =\ x^2-4x+1$ . Find $gf\left(2\right)$ .

a)

-13

b)

-12

c)

13

d)

12

2.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

3.

Which of the following expressions represents the permutation of 7 people seated on a circular dining table?

a)

7!

b)

(7-1)!

c)

(7-1)!/2

d)

7P7

4.

Find the number of distinguishable permutation of the letter in a word “BASKETBALL“.

a)

453, 600 ways

b)

45, 360 ways

c)

4,536 ways

d)

453 ways

5.

Find the derivative of:
f(x) = 7(3x+ 4)⁵

a)

35(3x + 4)⁵

b)

35(3x + 4)⁴

c)

105(3x + 4)⁵

d)

105(3x + 4)⁴

6.

What is the derivative of f?

a)

1/(x - 1)^-1

b)

-1/(x - 1)^-2

c)

-1/(x - 1)

d)

-1/(x - 1)²

7.

∫ (2 - x)⁵ dx

a)

-5 (2 - x )⁴ + C

b)

( 2 - x )⁶+ C

c)

(1/6) ( 2 - x )⁶+ C

d)

-(1/6) ( 2 - x )⁶+ C

8.

$\int6x\left(x+2\right)dx$

a)

$6x^2+12x+C$

b)

$x^{2\ }-2x+C$

c)

$3x^2+6x+C$

d)

$2x^3+6x^2+C$

9.

$\int\left(6\sqrt{x}-1\right)dx$

a)

$6x^{\frac{3}{2}}+x+C$

b)

$4x^{\frac{3}{2}}-x+C$

c)

$3x^{-\frac{1}{2}}-x+C$

d)

I didn't look at my notes to see how to do this one.

10.

$\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$

a)

$-x^{-1}-3x^{-2}+C$

b)

$\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$

c)

$-x^{-1}-3x^{-2}$

d)

$-x-3x^2+C$

11.

$\int_1^3\left(2-\frac{3}{x^2}\right)dx=$

a)

2

b)

$-\frac{1}{2}$

c)

$-2$

d)

$0.5$

12.

$\int_1^2\left(2x+k\right)dx=8.$

$\ k=?$

a)

$4$

b)

$5$

c)

$-3$

d)

$-2$

13.

If c=-5i + 4j and d= 8i calculate 2c+d

a)

-2i +8j

b)

-2i

c)

6i + 8j

d)

6i

14.

Jika P(4,2) dan Q(-1,6) maka $\overrightarrow{PQ}$ adalah . . . . .

a)

5i – 4j

b)

5i + 4j

c)

-5i - 4j

d)

-5i + 4j

e)

4i – 5j

15.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

16.

Find a₂₀ in the arithmetic sequence: (Hint: Find explicit formula first)

5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

17.

Find the 20^th term of 2, 5, 8, 11 ....

a)

29

b)

39

c)

49

d)

59

18.

Find the common ratio for the geometric sequence.

a)

1

b)

-1

c)

7

d)

-7

19.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

20.

What is the mean of these numbers?
4,5,5,2,3,3,2,8

a)

40

b)

24

c)

4

d)

256

21.

What is the median of this data set?
7.3, 2.9, 1.5, 0.6, 3.8

a)

2.9

b)

3

c)

3.5

d)

4.3

22.

What is the mode of the following data set?

5, 7, 7, 8, 12 , 12, 5, 6, 13, 12

a)

5

b)

7

c)

12

d)

no mode

23.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

24.

What is cos(c) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

25.

If tan x = 3/4 and cos x = 4/5, what is sin x?

a)

5/4

b)

4/3

c)

3/5

d)

5/3

26.

Find x :

a)

3.23

b)

3

c)

2.54

d)

5.2

27.

Find all $\theta$ such that $0\degree\le\theta\le360\degree$ and $\cos\theta=-0.3$ .

a)

$87\degree$

b)

$107\degree$

c)

$253\degree$

d)

$54\degree$

28.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

29.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

30.

Simplify,

(z³yx) × (x²yz)

a)

z⁴y²x³

b)

6 zyx

c)

3z 2y 3x

d)

z²÷ x

31.

Use multiple log properties to write as a single log:
log₂x - 5log₂y

a)

log₂(x/y⁵)

b)

log₂(xy⁵)

c)

log₂(x/y)⁵

d)

log₂(x/5y)

32.

$\log\left(\frac{8x}{yz}\right)\$

a)

log8+logx-logy-logz

b)

log8+logx-logy+logz

c)

log(8x)-log(yz)

d)

8logx-ylogz

33.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

34.

\left(\sqrt{s}-1\right)\left(1+\sqrt{s}\right)

a)

$\left(s-1\right)$

b)

$\left(1-s\right)$

c)

$\left(s^{2\ }-1\right)$

d)

$\left(1-s^2\right)$

35.

\left(x-\sqrt{2}\right)\left(\sqrt{2}+x\right)

a)

$\left(2-x\right)$

b)

$\left(x-2\right)$

c)

$\left(x^2-2\right)$

d)

$\left(2-x^2\right)$

36.

Simplify :

\frac{1}{\sqrt{2\ }+\sqrt{3}}

a)

$\sqrt{3}-\sqrt{2}$

b)

$\sqrt{4}-2$

c)

$\sqrt{3}\ +\ \sqrt{2}$

d)

$\sqrt{2}$

37.

Expand and simplify $\left(\sqrt{2}+\sqrt{3}\right)^2$

a)

$2+5\sqrt{6}$

b)

$5+3\sqrt{2}$

c)

$5+2\sqrt{6}$

d)

$5+6\sqrt{2}$

38.

Solve

1+\sqrt{x+3}=\sqrt{2x-1}

a)

1

b)

5

c)

7

d)

13

39.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

40.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

41.

What is the price index in the year 2015 based on the year 2013?

Berapakah harga indeks pada tahun 2015 berdasarkan tahun 2013?

a)

113.2

b)

114.0

c)

127.2

d)

140.0

42.

Given the price of Material A in 2009 is RM 3.50, and its price in 2011 is RM 4.70.

Find its price index in 2011 based on 2009.

Diberi harga bagi Bahan A pada tahun 2009 adalah RM 3.50, dan harganya pada tahun 2011 adalah RM 4.70. Cari indeks harga bahan tersebut pada tahun 2011 berasaskan tahun 2009.

a)

74.47

b)

120.00

c)

134.29

43.

(-4r³s⁵)⁰ (3b⁴c²d)

a)

1

b)

-12b⁴c²d

c)

3b⁴c²d

d)

0

44.

Find the area of the sector, rounding your answer to the nearest tenth.

a)

176.7cm²

b)

23.6cm²

c)

156.7cm²

d)

88.4cm²

45.

Find the second derivative of the polynomial...

a)

4

b)

4x

c)

4x + 3

d)

8

46.

Find the second derivative of the polynomial...

a)

16 - 8x^-3

b)

16 + 8x^-3

c)

8 - 4x^-2

d)

16 + 8x^-2

47.

Which of the following inequalities matches the shaded region?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

48.

Which graph is shaded yellow based on this equation x - y - 1 ≤ 0 ?

a)

b)

c)

d)

49.

Which graph (shaded out) represents:

$3x+5y\le15000$

$3x+16y\ge24000$ $y\le x$

a)

b)

c)

d)

50.

Find the coefficient of x³ in the expansion of (1 + x)²⁰

a)

1140

b)

190

c)

4845

d)

8000

51.

Find the expansion

a)

x³ + x²y + xy² + y³

b)

x³ + 6x²y² + y³

c)

x³ + 6xy + y³

d)

x³ + 3x²y + 3xy² + y³

52.

Solve: 5x - 10x² < 0

a)

(0, ½)

b)

[0, ½]

c)

(−∞, 0) U (½, ∞)

d)

(- ½ , 0)

53.

Which of the following shows the graph of the solution set of $x^2-5x-14>0$ ?

a)

b)

c)

d)

54.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

55.

Let $w=-\frac{\sqrt{3}}{2}+\frac{1}{2}i$ . Calculate the modulus and argument.

a)

3, $\frac{2}{3}\pi$

b)

5, $\frac{3}{2}\pi$

c)

1, $\frac{5}{6}\pi$

d)

Not Possible

56.

If z=√2+√2 i then arg(z²)=

a)

0

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{2}$

d)

Not Possible

57.

Express the complex number in polar form.

-2 + 5i

a)

$\sqrt{29}\left(\cos1.95+i\sin1.95\right)$

b)

$\sqrt{29}\left(\cos65.06+i\sin65.06\right)$

c)

$\sqrt{7}\left(\cos1.95-i\sin1.95\right)$

d)

$\sqrt{7}\left(\cos65.06-i\sin65.06\right)$

STAGE 1-MATHS E-SHOPPING

Total questions: 57

Worksheet time: 2hrs 26mins

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