Free Printable MATHRATON: ONLY FOR THE BRAVE ONE

1.

A cone with a diameter of 9.5 cm and height of 6.7 cm is removed form a solid cylinder with a height of 9.8 cm. The cylinder has the same diameter as the cone.

Calculate the volume, in cmᶟ, of the remaining solid.

[Use π = 22/7]

a)

243.46

b)

536.56

c)

1159.23

d)

2146.23

2.

The distance of the sun from Earth is about 150 million km.

Express the distance of the sun from Earth in a standard form.

a)

1.5 x 10⁶

b)

1.5 x 10⁷

c)

1.5 x 10⁸

d)

1.5 x 10⁹

3.

$2\ \left(\ 3x\ -\ y\ \right)^2\ +\ 3x\ \left(2y\right)$

a)

$9x^2\ +\ y^2\ +\ 3xy$

b)

$9x^2\ -\ 3xy\ +\ y^2$

c)

$18x^2\ -\ 6xy\ +\ 2y^2$

d)

$18x^2\ +\ 2y^2\ +\ 6xy\$

4.

Adam sells two types of cakes at different prices. A slice of Chocolate cake is sold at RM3 and a slice of cheese cake is sold at twice of chocolate cake’s price. In conjunction with the opening of a new branch, he is giving a 50% discount on all types of cake prices. Derive the formula for the selling price of cake, z, if m slices chocolate cake and n slices cheese cake are sold.

a)

z = (3m + 6n)

b)

z = (1∙3m + 6n)

c)

z = (1∙5m + 3n)

d)

z = (15m + 30n)

5.

(p + q)(p – q) – (p – q)²=

a)

2q + 2q²

b)

2p – 2q²

c)

2pq + 2q²

d)

2pq – 2q²

6.

List all the integers x that satisfy the linear inequalities 2 – 3x > 11.

a)

-3,-2,-1,…

b)

-2,-1,0,…

c)

-2,-3,-4,…

d)

-4,-5,-6,…

7.

The solution for $\frac{1}{3}$ (x+2) ≤ 4 and 6 - x ≤ 2 is

a)

2≤ x ≤4

b)

4≤ x ≤6

c)

4< x ≤10

d)

4≤ x ≤10

8.

A straight line passes through point (3,4) and point (–3,0). Find the y-intercept of the

straight line.

a)

1

b)

2

c)

3

d)

4

9.

(8 1 3 - 5 ) - 3 ( -2 4 2 0 ) + ( 1 5 -4 3 ) =

a)

(15 -6 -7 2)

b)

(15 -6 -7 -2)

c)

(15 -6 7 2)

d)

(15 6 -7 8)

10.

It is given that the inverse matrix of 8 5 -4 -2 is $\frac{1}{s}$ -2 t 4 8

Calculate the value of s-t.

a)

-9

b)

-1

c)

1

d)

9

11.

Given that x is an integer, 3 and 4 is the solution for

a)

- 1 < x + 1 < 3

b)

- 1 < x - 3 < 2

c)

$-1<\frac{x}{3}\le3$

d)

$-1\le3x<6$

12.

A jug contains 2 liters water. The water in the jug is poured into four glasses of the same size and one bottle until full. The volume of water remaining in the jug is 500 milliliters. The volume of water in the two glasses is equal to the volume of water in the bottle.

Find the volume of water, in milliliters, in a glass.

a)

250

b)

375

c)

300

d)

750

13.

The distance from Adam’s house to the hospital. Is these variables are fixed or varies value?

a)

Fixed value

b)

Varies value

14.

Expand and simplify 3(2z +1) – 2(5 + z)

a)

7z - 7

b)

4z – 13

c)

4z – 7

d)

8z – 7

15.

Is f(x) the inverse function of g(x)?

a)

No

b)

Yes

16.

Find the value of $\lim_{x\rightarrow2}\left(\frac{x^2\ -\ 5x\ +\ 6}{x^2\ +\ 2x\ -\ 8}\right)$

a)

2

b)

1

c)

-1/6

d)

6

17.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only one output

c)

Input have different outputs every time

d)

X-value and Y-value

18.

Does this describe a function?

a)

Function

b)

Not a function

19.

| x - 6 | < 4

Is this an “and” or an “or” problem?

a)

And

b)

Or

20.

The following are true about the limit properties ……

a)

$\lim_{n\rightarrow a}\left[f\left(x\right)\ +g\left(x\right)\right]\ =\lim_{n\rightarrow a}\left(f\left(x\right)\right)\times\left(g\left(x\right)\right)$

b)

$\lim_{n\rightarrow a}\ k.f\ \left(x\right)\ =\ \lim_{n\rightarrow a}\ f\left(x\right)$

c)

$\lim_{n\rightarrow a}\ \left(\frac{f\left(x\right)}{g\left(x\right)}\right)\ =\ f\left(x\right)\ \lim_{n\rightarrow a}\ g\left(x\right)$

d)

$\lim_{n\rightarrow a}\ k\ =\ k$

21.

Find the turning points of:

$f\left(x\right)\ =\ x^3\ +\ 3x^2\ -\ 9x\ +1$ (Hint dy/dx =0)

a)

(3,28) and (-1,-4)

b)

(3,28) and (1,4)

c)

(1,28) and (-3,-4)

d)

(-3,28) and (1,-4)

22.

Find the product.

a)

Undefined

b)

-3 16 17 12 8 -10

c)

312-15-8-1-3

23.

What equation matches the graph?

a)

$f\left(x\right)\ =\ 3^x$

b)

$f\left(x\right)\ =\ \left(\frac{1}{3}\right)^x$

c)

$f\left(x\right)\ =\ \left(x\right)$

24.

Solve the equation 3 | 2x+7 | - 7 < 4

a)

$x\ <\ -3\ and\ \ x\ >\ -\frac{5}{3}$

b)

All real numbers

c)

No solution

d)

x < -3 and x > -4

25.

When you multiply a matrix by the identity matrix, you obtain the …..

a)

Inverse matrix

b)

Transpose matrix

c)

Original matrix

d)

Identity matrix

26.

What’s the best description?

a)

They are inverse functions

b)

They are not reflected over y=x, and they are not both functions

c)

They are reflected over y=x, but they are both functions

d)

They are both functions, but not inverse functions

27.

The average of first 50 natural numbers is …………. .

a)

25.30

b)

25.5

c)

25.00

d)

12.25

28.

A fraction which bears the same ratio to 1/27 as 3/11 bear to 5/9 is equal to ……….. .

a)

1/55

b)

3/55

c)

3/11

d)

1/11

29.

The number of 3-digit numbers divisible by 6, is ………….. .

a)

149

b)

166

c)

150

d)

151

30.

A wire is in the form of a circle. The radius of the circle is 28 cm. The wire is then moulded to form a square. Find the side of the square formed?

a)

66

b)

44

c)

22

d)

11

31.

A kite has four equal sides. If 5 inches is added to each side, the new perimeter will be 56 inches. Find the side length of the original kite

a)

9

b)

7

c)

10

d)

8

32.

The radius of a circle is 4 cm, what is the area?

a)

28.3cm²

b)

58.7cm²

c)

78cm²

d)

50.2cm²

33.

106 × 106 – 94 × 94 = ?

a)

2004

b)

2400

c)

1904

d)

1906

34.

Find x when log₂ 3x + log₂16 =4

a)

2/3

b)

1/3

c)

1/6

d)

2/6

35.

Jerry wants to collect more than 100 books to donate to the school library. He already has 35 and will collect 5 books per week. How many weeks will he need to collect books?

a)

16

b)

12

c)

13

d)

11

36.

The simplest form of 1.5 : 2.5 is …………… .

a)

6 : 10

b)

15 : 25

c)

0.75 : 1.25

d)

3 : 5

37.

In 24,673 ; the place-value of 6 is ….. .

a)

700

b)

600

c)

10

d)

100

38.

The least number of two digits is ….. .

a)

99

b)

11

c)

90

d)

None of these

39.

The sum of the least number of three digits and largest number of two digits is ….. .

a)

101

b)

199

c)

111

d)

100

40.

A number is divisible by 3 if the sum of its digits is divisible by …….. .

a)

1

b)

2

c)

3

d)

5

41.

Which organisation handle Mathraton : Only For The Brave One?

a)

BITS

b)

MANATICS

c)

MPP

d)

PUSPA

42.

What is colour theme for our organisation?

a)

Maroon and black

b)

Green and yellow

c)

Green and orange

d)

Maroon and green

MATHRATON: ONLY FOR THE BRAVE ONE

Total questions: 42

Worksheet time: 42mins

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