YEAR EIGHT Mathex 2009
Team
Question 1
How many triangles are there in this figure?
Answer
_____________
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?
Answer___________________
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
your hands before dinner.
How much were you paid for washing your hands?
Answer ___________________
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?
Answer ___________________
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?
Answer: Dad’s age is _______________________
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?
Box B
6 cm
4 cm
15 cm
5 cm
Box X
12 cm
Answer ___________________
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?
Answer ___________________
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.
Answer ___________________
YEAR EIGHT Mathex 2009
Team
Question 9
Estimate this acute angle to within 5 of accuracy.
Answer_____________________
YEAR EIGHT Mathex 2009
Question 10
Team
Given that:
+
+
-
=
5
=
2
+
Find the value of the shape
Answer
+
+
=
=
+
18
.
= ______________
YEAR EIGHT Mathex 2009
Team
Question 11
Write the time this clock shows in 24 hour time.
End of the movies
Answer
_______________
YEAR EIGHT Mathex 2009
Team
Question 12
If the shaded square is 1 square unit, what is the area of the largest square?
Answer ___________________
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?
Answer ___________________
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?
Answer ___________________
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.
How many litres of petrol did I have to start with?
Answer ___________________
YEAR EIGHT Mathex 2009
Team
Question 16
How many squares in this diagram below?
Answer ___________________
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?
Answer ___________________
YEAR EIGHT Mathex 2009
Team
Question 18
Use the digits 1, 3, 5, 7 (once each) so the completed multiplication below gives the largest
possible answer.
Answer
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?
Answer ___________________
YEAR EIGHT Mathex 2009
Team
Question 20
Each letter stands for a different digit. What does ABBBC represent?
AAAA
BBBB
+ CCCC
A BBBC
Answer ___________________
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?
Answer ___________________
YEAR EIGHT ANSWERS
Tie Breaker 2
200 minutes ( unit required)
Tie Breaker 1
20
19998
19
43
18.
x
2
3 5
3 7
9
6
4
7
5
1
5
6
x
x
x
+
7
8
1
1
3
3
0
3
17
20
16
30
15
21 (L)
14
1 minute (unit required)
13.
9 (cm)
12.
32 (square units)
11.
2230
10.
3
2
5
=3
9.
8.
18
7.
James and Phillip
6.
42
5.
Dad’s age = 32 or 41 (Only 1 answer required)
4.
20
3.
1 cent or $0.01
2.
15
1.
8