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Diagnostic Quiz Level 1
This is a Multiple choice exam where ONLY ONE ANSWER IS VALID. If the question ask you to not use a calculator PLEASE DO NOT USE A CALCULATOR, because otherwise you'd be fooling your own self. Remember this is not a test but an exercise for your tutor to understand how to best help you.
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Give 3 prime numbers after 25
26 27 28
29 31 35
29 31 37
27 29 31
27 29 33
29 37 49
Clear selection
Find the LCM of (9 and 81)
90
3
81
9
27
720
Clear selection
Give a multiple of 9, greater than 18 that is even
28
46
36
45
92
Clear selection
Simplify 4: 120
4: 1
1: 4
480
1 : 30
30 : 1
116
Clear selection
Simplify: 4 hours : 120 minutes
4 : 1
1: 4
480
1: 30
2 : 1
30: 1
Clear selection
In Moscow the temperature is -7. In Syberia the temperature is - 20. Find the difference between the two temperatures
-9
-27
27
13
-13
-10
Clear selection
Work out 0/5 without using a calculator
50
0
5
1
Cannot be worked out
0.5
0.00005
Clear selection
Work out 5/0 without using a calculator
50
0
5
1
Cannot be worked out
0.5
0.00005
500
Clear selection
What number comes next in this sequence: 42, 49, 56, ____
70
63
90
65
100
Clear selection
Work out the square of -3 without using your calculator
-30
-6
6
9
-9
27
-27
1
Clear selection
Work out (4 + 3) * (-3 - 2) / 5
7
21
-7
4
100
12
Clear selection
Subtract the smallest from the biggest: 1/15, 1/4, 3/5 and 8/10
7/6
5/5
11/15
1/11
Clear selection
Find the HCF of (42 and 72)
12
18
7
3024
24
6
Clear selection
Work out 1/3 of halve of 2/9
1/27
1/4
1/9
2/27
1/4
Clear selection
-3/2 3/-2 and -(3/2) are:
The same
All different
2 of them are the same
One is negative of the other
-3/2 is the reciprocal of 3/-2
-3/2 and 3/-2 are the same
Clear selection
Calculate 4.5 * 2.1 + 7.9 * 4.5 without using a calculator
45
100
10
9
112314.345
Clear selection
What is the cube root of 27?
729
19683
9
13.5
3
2
10
Clear selection
If I need 240 grams of flour to make a 3 cupcakes How much flour will I need for 8 cupcakes?
1200
640
90
60
200
800
300
Clear selection
150 euros are to be distributed in the ratio of 3:2. Find the smallest amount given.
30
60
75
50
10
40.5
Clear selection
1000 increases by 10%, what is the new number?
1010
110
1100
1.1
1000
Clear selection
The sides of a cube are 5 cm each. Work out the area of one of its faces
5
25
125
15
10
2.5
100
Clear selection
The sides of a cube are 6 cm each. Work out the volume
18
36
12
6
216
27
Clear selection
On a graph paper I plot the following coordinates: (0,0) (0,6) (4,6) (4,0). What shape did I draw?
Triangle
Square
Circle
Rectangle
Trapezium
Cylinder
Straight Line
Clear selection
Line 1 has a gradient of 2 and an intercept of 3. Line 2 is parallel to line 1 but has an intercept of 4. What is the gradient of line 2?
2
3
4
0
10
-2
Clear selection
How many lines of symmetry does an equilateral triangle have?
2
1
3
4
0
infinite
Clear selection
What is the best estimate for the area of a circle with diameter of 6?
15
108
36
3.142
27
9
Clear selection
A is East of B. Find the bearing of B from A
90
180
240
360
270
45
Clear selection
Find the area of a triangle which has a height of 2 and a base double its height.
2
4.5
8
4
6
20
Clear selection
If one of the angles in a right angle triangle is 50, what are the other two?
180 0
40 180
90 180
40 90
50 50
60 60
Clear selection
The time is 3 pm. What angle does the minute hand turn by the time its 3.15 pm?
120
45
90
180
360
270
150
Clear selection
Find the range of the following numbers: 1,1,3,4,1,10, 12, 0, 2 ,3 11, 12, 1, 2
11
9
6.78
9
12
10
Clear selection
Find the mean of 1, 3, 5, 7, 9, 11, 13
2
4.5
10
7.5
7
15
Clear selection
What is the median of 2,3,4,1,3,4,5,1,6 and 9?
3
9
3.8
3.5
8
Clear selection
A pie chart displays the number of pets that students in a class have by type. The students have 15 dogs and the angle for dogs 90 degrees. If the angle for cats is 60 degrees, how many cats do the students have?
20
5
45
10
3
6
Clear selection
What is the mode of: 1, 1,1 , 2, 1, 3, 4, 4, 4, 4, 9, 1, 10
4
10
9
1
5.56
2
Clear selection
Jane is twice as old as Mark. If Mark is x years old, how old is Jane?
20
4x
2x
x/2
x-2
2x - 2
y
2y
Clear selection
Mathew is twice as old as Frank. If Mathew is x years old, how old is Frank?
20
4x
2x
x/2
x-2
2x/2
2x-2
y
2y
Clear selection
If 4 - x = 10, calculate x
6
14
40
-40
10/4 = 2.5
2
-6
Clear selection
If -3x = 6, find x
-2
2
3
9
3/6
-6/3
6/-3
Clear selection
The sum of two numbers is 10, give an equation to express this information
x + x = 10
x - x = 10
10 + x
x + 10
10x
x + y = 10
x + 10 = y
Clear selection
Work out (4x) ^ 2
^ 2 means squared
16x
4x^2
16x^2
x(4+x)
8x
Clear selection
I multiply x by itself and add 2. The correct expression is:
2x + 2
x + 2
2x^2 + 2
x^2 + 2
x* y + 2
Clear selection
Expand: 4x( 3xy + 8x^2 + 1)
12x^2 y + 32x^3 + 4x
12xy + 32x^2 y^2 + 4
7x^2y + 32x^4 + 5x
12y^2 + 32y^2 + 4y
Clear selection
Factorize : 2x + 4xy + 16x^2
2(x + 4xy + 8x^2)
2y( x + 2 + 8yx)
2x( 2y + 8x)
2x( 1 + 2y + 8x)
2x^2 ( 1/2x + 4y + 8)
Clear selection
I think of a number, multiply by 4, add 2 and my answer is 10. What is the number?
42
40
4x + 2
2
1/2
Clear selection
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