# Mathematiq'19 03 Qualifying Round

15 Questions | Total Attempts: 71  Settings  .

• 1.
On simplification, the expression 1- [1- {1- (1-1-1)}] gives:
• A.

3

• B.

0

• C.

1

• D.

2

• 2.
Ten years ago A was half the age of B. If their present age ratio is 3:4, what will be the total of their present ages?
• A.

20 Years

• B.

8 Years

• C.

30 Years

• D.

35 Years

• 3.
How many real roots does the quadratic equation x2 + 5x + 7 = 0 have?
• A.

0

• B.

1

• C.

2

• D.

3

• 4.
The product of two consecutive positive integers is 12 more than 12 times the sum of those two integers. What is the smaller of the two integers?
• A.

23

• B.

24

• C.

25

• D.

12

• 5.
If x = 3 is the solution of the question 3x² + (k-1) x + 9 =0 then k has a value of:
• A.

13

• B.

-13

• C.

-11

• D.

11

• 6.
The average of 7 consecutive numbers is 33. The largest of the 7 numbers is:
• A.

28

• B.

36

• C.

33

• D.

30

• 7.
For a given quadratic function y = (x - 5)2 - 3, the coordinates of the vertex and the equation of the line of symmetry(LOS) are:
• A.

Vertex: (-5, -3), equation of LOS: x = - 5

• B.

Vertex: (5, -3), equation of LOS: y = - 5

• C.

Vertex: (-5, 3), equation of LOS: x = 5

• D.

Vertex: (5, -3), equation of LOS: x = 5

• 8.
The average of the first five prime numbers is:
• A.

4.5

• B.

5.6

• C.

7.5

• D.

5

• 9.
1/4 of a number subtracted from 1/3 of the number gives 12. What is the number?
• A.

120

• B.

63

• C.

144

• D.

72

• 10.
Find 20% of 30% of 800kg
• A.

35kg

• B.

48kg

• C.

16kg

• D.

20kg

• 11.
15% of the cost of a holiday was spent on airfares. If airfares cost £630, what was the total cost of the holiday?
• A.

£ 3200

• B.

£ 2400

• C.

£ 4200

• D.

£ 5000

• 12.
There are 60 people in a room.  30% of them are wearing glasses.  3 people take their glasses off.  Find the percentage that are now wearing glasses.
• A.

25%

• B.

20%

• C.

35%

• D.

30%

• 13.
Which one of the following mathematical statements is a quadratic inequality:
• A.

2x2 + 4r – 1 = 0

• B.

3t – 7 ≤ 2

• C.

(s – 32) – 11 ≤ 0

• D.

2x2 + 4r – 1 ≥ 5

• 14.
Which of the following quadratic equations is depicted in the graph below:
• A.

Y = -(x – 2) (x + 3)

• B.

Y = (x + 2) (x - 3)

• C.

Y = -(x + 2) (x – 3)

• D.

Y = (x - 2) (x + 3)

• 15.
What is the volume of the figure above, rounded off to the nearest m2?
• A.

196m2

• B.

197m2

• C.

198 m2

• D.

199m2 Back to top