# YEAR SEVEN Mathex 2008 Team

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```					YEAR EIGHT Mathex 2009                            Team

Question 1

How many triangles are there in this figure?

YEAR EIGHT Mathex 2009                           Team

Question 2

Three fractions add together to give one fifth.

If all the question marks represent the same number, what is that number?

YEAR EIGHT Mathex 2009                            Team

Question 3

Your dad tells you that he will pay you \$6.00 an hour for the 6 seconds that you take to wash

How much were you paid for washing your hands?

YEAR EIGHT Mathex 2009               Team

Question 4

There are 100 buildings along a street. A sign maker is ordered to number the buildings from
1 to 100.

How many 9’s will he use?

YEAR EIGHT Mathex 2009                            Team

Question 5

The ages of a father and son add up to 55. The father’s age is the son’s age reversed.

How old is the father?

YEAR EIGHT Mathex 2009                            Team

Question 6

What is the maximum number of boxes of the size of Box B that Box X will hold?

4 cm
Box B
5 cm                                                                15 cm
6 cm
Box X

12 cm
28 cm
YEAR EIGHT Mathex 2009                              Team

Question 7

James is sitting between John and Peter. Phillip is sitting on Peter’s right.

Between whom is Peter sitting?

YEAR EIGHT Mathex 2009                              Team

Question 8

4 zacs are worth 3 euros and 4 euros are worth 3 royals. If 1 royal costs \$12, calculate the
price (in dollars) of 2 euros.

YEAR EIGHT Mathex 2009                              Team

Question 9

Estimate this acute angle to within 5   of accuracy.

YEAR EIGHT Mathex 2009                               Team

Question 10        Given that:

+                +           +             =             +
-               =    5
=    2
+                +           =     18

Find the value of the shape      .

YEAR EIGHT Mathex 2009                               Team

Question 11

Write the time this clock shows in 24 hour time.

End of the movies

YEAR EIGHT Mathex 2009                               Team

Question 12

If the shaded square is 1 square unit, what is the area of the largest square?

YEAR EIGHT Mathex 2009                               Team

Question 13

A wire 48 cm long is bent to make a rectangle with the sides in the ratio of 3:5. What is the
width of the rectangle?

YEAR EIGHT Mathex 2009                               Team

Question 14

How much time is saved by driving 10 km at 120 km per hour instead of 100 km per hour?

YEAR EIGHT Mathex 2009                               Team

Question 15

After a journey I have only a third of the petrol that I started with. At the petrol station I add
10L and now have 19L.

YEAR EIGHT Mathex 2009                            Team

Question 16

How many squares in this diagram below?

YEAR EIGHT Mathex 2009                            Team

Question 17

A number of students are standing in a circle. They are evenly spaced, and the fourth student
is directly opposite the 14th student. How many students are there altogether?

YEAR EIGHT Mathex 2009                            Team

Question 18

Use the digits 1, 3, 5, 7 (once each) so the completed multiplication below gives the largest

YEAR EIGHT Mathex 2009                             Team

Question 19

A pattern of triangles is made from toothpicks, as shown below.

If 87 toothpicks are used, how many triangles have been formed?

YEAR EIGHT Mathex 2009                             Team

Question 20

Each letter stands for a different digit. What does ABBBC represent?

AAAA
BBBB
+ CCCC
A BBBC

YEAR EIGHT Mathex 2009                             Team

Tie Breaker 1

Make each statement true by placing a single digit in all the circles. Each of the digits from 1
to 9 must be used once only.

x                      = 20

x                      = 20

x                      = 20
YEAR EIGHT Mathex 2009                           Team

Tie Breaker 2

The excavator at the mine uses 1L of fuel every 3 minutes. The truck uses 1L of fuel every 6
minutes.

How long will 100L of fuel last if both machines are being used?

Tie Breaker 2        200 minutes ( unit required)

Tie Breaker 1         9     x       3   -      7
6     x       2   +      8
4     x       5          1

20    19998

19    43

18.              7   1
x   5   3
2   1   3
3 5   5   0
3 7   6   3

17    20

16    30

15    21 (L)

14    1 minute (unit required)

13.   9 (cm)

12.   32 (square units)

11.   2230

10.         =3

9.

8.    18

7.    James and Phillip

6.    42

4.    20

3.    1 cent or \$0.01

2.    15

1.    8

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