Free Printable Round 1 - Innovents Math Senior Quiz

1.

What is the value of

2\times2008+2008\times8?

a)

80020

b)

64256

c)

20080

d)

16064

e)

4016

2.

In this subtraction, P, Q, R and S are digits. What is the value of

P+Q+R+S

?

a)

14

b)

16

c)

18

d)

20

e)

22

3.

According to recent research, global sea levels could rise 36.8 cm by the year 2100 as a result of melting ice. Roughly how many millimetres is that per year?

a)

0.1

b)

0.4

c)

1

d)

4

e)

10

4.

The diagram shows four sets of parallel lines, containing 2, 3, 4 and 5 lines respectively.

How many points of intersection are there?

a)

54

b)

63

c)

71

d)

95

e)

196

5.

Each of the five nets P, Q, R, S and T is made from six squares. Both sides of each square have the same colour. Net P is folded to form a cube. How many of the nets Q, R, S and T can be folded to produce a cube that looks the same as that produced by P?

a)

0

b)

1

c)

2

d)

3

e)

4

6.

One of the following numbers is prime. Which is it?

a)

$2017-2$

b)

$2017-1$

c)

$2017$

d)

$2017+1$

e)

$2017+2$

7.

In 2017 a large worm was found. It was 40 cm long and had a mass of 26g. What was the worm's mass per unit length?

a)

1.75 g/cm

b)

1.6 g/cm

c)

0.75 g/cm

d)

0.65 g/cm

e)

0.6 g/cm

8.

The five integers 2, 5, 6, 9, and 14 are arranged into a different order. In the new arrangement, the sum of the first three integers is equal to the sum of the last three integers. What is the middle number in the new arrangement?

a)

2

b)

5

c)

6

d)

9

e)

14

9.

One light-year is nearly $6\times10^{12}$ miles.
A galaxy was observed 13.4 thousand million light-years away. Roughly how many miles is that?

a)

$8\times10^{21}$

b)

$8\times10^{22}$

c)

$8\times10^{23}$

d)

$8\times10^{24}$

e)

$8\times10^{25}$

10.

If 20% is taken of a couch originally 2.10 m long, what would the resulting length be?

a)

1.68 m

b)

1.78 m

c)

1.89 m

d)

1.90 m

e)

2.00 m

11.

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

a)

$n+2$

b)

$\ n+1$

c)

$n$

d)

$n-1$

e)

$n-2$

12.

What is 20% of 40%?

a)

8%

b)

10%

c)

16%

d)

50%

e)

80%

13.

Joe travelled 150 miles in a car and used 10 litres of petrol. Given that 1 gallon $\approx$ 4.5 litres roughly how many miles per gallon did Joe achieve on his journey?

a)

20

b)

40

c)

50

d)

70

e)

80

14.

What is the smallest possible value of $30p+10q+5r$ when p, q and r are different positive integers?

a)

31

b)

43

c)

53

d)

65

e)

210

15.

The diagram shows an equilateral triangle touching two straight lines. What is the sum of the four marked angles?

a)

$360\degree$

b)

$240\degree$

c)

$180\degree$

d)

$140\degree$

e)

$120\degree$

16.

A glass is $\frac{2}{3}$ full of water. $\frac{2}{5}$ of the water is spilled. What fraction of the water remains in the glass?

a)

$\frac{1}{15}$

b)

$\frac{1}{5}$

c)

$\frac{4}{15}$

d)

$\frac{1}{3}$

e)

$\frac{11}{15}$

17.

The diagram shows an equilateral triangle, a square and a regular pentagon which all share a common vertex. What is the value of $\theta$ ?

a)

98

b)

102

c)

106

d)

110

e)

112

18.

Little John claims he is 2m 9cm and 5mm tall. What is this height in metres?

a)

2.0095 m

b)

2.95 m

c)

2.905 m

d)

2.095 m

e)

2.0905 m

19.

How many times does the digit 8 appear in the answer to $987654321\times9$ ?

a)

0

b)

1

c)

5

d)

8

e)

9

20.

On a Monday all prices are 10% more than normal. On Friday all prices are 10% less than normal.

If I bought a t-shirt for $55 on Monday, what would the t-shirt cost on Friday?

a)

$54

b)

$50

c)

$45

d)

$5.50

e)

$4.50

21.

The diagram shows a circle with radius 1 that rolls without slipping around the inside of a square of length 10.

The circle rolls once around the square, returning to its starting point.

What distance does the centre of the circle travel?

a)

12

b)

$40-4\pi$

c)

$10+\pi$

d)

32

e)

40

22.

When the following are evaluated, how many of the answers are odd numbers?

$1^2,\ 2^3,\ 3^4,\ 4^5$

a)

0

b)

1

c)

2

d)

3

e)

4

23.

Which of the following shows the digit 6 after it has been rotated clockwise through $135\degree$ ?

a)

b)

c)

d)

e)

24.

What is the sum of all the solutions of the equation $6x=\frac{150}{x}$ ?

a)

0

b)

5

c)

6

d)

25

e)

156

25.

The integer n is the mean of the three numbers 17, 23 and 2n.

What is the sum of the digits of n?

a)

40

b)

20

c)

8

d)

5

e)

4

Round 1 - Innovents Math Senior Quiz

Total questions: 25

Worksheet time: 25mins

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