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IGCSE MATH 0580 PRACTICE 1

Total questions: 28

Worksheet time: 55mins

Name
Class
Date
1.

What is the standard form 0.01345?

a)

1.345*102

b)

1.345*103

c)

1.345*10-2

d)

1.345*10

2.
Solve the proportion.
a)
18
b)
4
c)
9
d)
8
3.

Find the percentage change in the following price increase:


£650 to £728

a)

12%

b)

88%

c)

18%

d)

82%

4.

The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds

a)

950  ≤ 1000  < 1050

b)

950 ≤ 1000 < 1050.1

c)

950 ≤ 1000 < 1051

5.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
6.

The Arnold's took out a loan for a home. The amount was $195,000 at a 4% interest rate compounded annually, how much will they have paid after 30 years?

a)

$412,489.75

b)

$529,586.31

c)

$632,462.51

d)

$640,891.12

7.
What is the Median Value?
a)
18
b)
22
c)
26
d)
28
8.

In a class of 50 students, each of the students passed either math test or science test or both. 10 students passed both and 28 passed science test. One student is picked at random from the class. Find the probability that he/she passed math.

(a)  

9.
Expand and Simplify 4(x+2)-3(x+1)
a)
x+3
b)
7x+1
c)
x+5
d)
5x+11
10.

Factorize:

9xy + 12x2

(a)  

11.
Solve the cube root equation
a)
344
b)
21
c)
-344
d)
-21
12.

Solve the following simultaneous equations

(a)  

13.

Solve the equation

2x + w = 162x\ +\ w\ =\ 16  for x. 

a)

x = 8  w2x\ =\ 8\ -\ \frac{w}{2}  

b)

w = 16  x2w\ =\ 16\ -\ \frac{x}{2}  

c)

x = 16  2wx\ =\ 16\ -\ 2w  

d)

x = 2w +16x\ =\ 2w\ +16  

14.

Which inequality defines the shaded region?

a)

y > x + 2

b)

y < x + 2

c)

y ≥ x + 2

d)

y ≤ x + 2

15.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
16.
What is the Lower Quartile Length?
a)
28 cm
b)
30 cm
c)
33 cm
d)
20 cm
17.
What is the RANGE?
a)
{-3, 3]
b)
all real numbers
c)
[-4, 5]
d)
[-4, ∞)
18.

Given the following two parallel lines that have been cut by a transversal.

1\angle1  and which angle make up Alternate Interior angles?

a)

2\angle2  

b)

6\angle6  

c)

5\angle5  

d)

3\angle3  

19.

What is
the Bearing
 of B 
from A?
a)
45
b)
225
c)
045
d)
135
20.

Find the area of this parallelogram

a)

12cm2

b)

35cm2

c)

17.5cm2

d)

30cm2

21.
When is this function increasing?
a)
{x| -2.5 < x < 2.5}
b)
{x| 0 < x < 5}
c)
{x| 0 < x < 55}
d)
{x| -5 < x < 0}
22.

Write the vector from D to A...

a)

a + b

b)

-a + b

c)

b - a

d)

-a - b

23.

The slope of the red line is...

a)

positive

b)

negative

c)

undefined

d)

zero

24.

A cone is filled to its height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height and same radius as the cone. What is the height reached by the liquid in the cylinder?

a)

3 in

b)

2,5 in

c)

2 in

d)

1 in

25.
Find the derivative f(x) = (3x + 5)4
a)
f'(x) = 12(3x)3
b)
f'(x) = 12(3x + 5)3
c)

f'(x) = 4(3x + 5)3

d)
f'(x) = (3x + 5)3
26.

Find the missing side x

a)

6.65cm

b)

1.74cm

c)

5.66cm

d)

7.14cm

27.

What is the probability of drawing a jack from a deck of 52 cards? Write your answer as a fraction in the simplest form.

(a)  

28.

The function has a max or min?

a)

max

b)

min

c)

cannot be determined