YEAR EIGHT Mathex 2008
Team
Question 1
What is the largest possible answer obtained b placing the four digits 1, 2, 3 and 4 in the
boxes? (Use each digit only once, and place only one digit in each box)

+
YEAR EIGHT Mathex 2008
–
Team
Question 2
Bella made a graph to show the lunchtime temperature each school day for a week. What was the
mean (average) lunchtime temperature for the week?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 3
If the numbers from 0 to 1000 were listed, how many times would the digit 3 appear?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
A
Question 4
P
Q
C
B
P and Q are the midpoints of the sides of an
equilateral triangle ABC. What percentage of the whole triangle ABC is covered by triangle
APQ?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 5
A figure skater is facing North when he begins his spin to his right. He spins 2250o.
Which direction, (N, S, E, or W) is he facing when he finishes the spin?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 6
There are between 50 and 100 players in the brass band. If the players arrange themselves in
rows of 8, there are players left over. If the players arrange themselves in rows of 9, there are
4 players left over.
How many players are in the band?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 7
Tom
Dick
Harry
Frank
Tom, Dick, Harry and Frank live along the same straight road as shown. (Diagram not to
scale) Tom’s house to Frank’s house is 49.7 km. Tom’s house to Harry’s house is 38.4 km.
Dick’s house to Frank’s house is 22 km.
How far is it between Dick and Harry’s houses?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 8
A rectangular room has a perimeter of 40 metres and its width is one-third of its length.
What is the area of the room?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 9
A staircase with 3 steps needs 6 blocks as shown. How many
steps would a similar staircase made with 78 blocks have?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 10
How many squares are in the figure below?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 11
If it takes 4 men 3 days to print 8 cars, how long will it take 6 men to paint 20 cars?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 12
Find the area of this four-sided shape, assuming the grid lines are regularly spaced one
centimetre apart.
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 13
Given that:
++=+
+=
+=+2
Find the numerical value of one .
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 14
Three-sevenths of Moana’s class watched a netball test match one night. One-half of the class
watched the rugby test instead. If two students watched neither, how many students are in
Moana’s class?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 15
At the school camp there are 12 children in total. 6 went swimming and 7 went abseiling.
Three people did both activities, how many did neither?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 16
There are four children in a family, Kate, Sally, Tom and Ben.
Tom is 2 years older than Ben. The combined age of the boys is the same as the combined
ages of the girls. Kate is twice as old as Sally. A year ago Tom was twice as old as Sally was
then.
How old is Tom?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 17
Mark’s Grandmother sets up a savings account with $1 in it when he is born. Each birthday,
she doubles the amount in the account.
How old will he be when his account first goes over $1000?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 18
The area of the shape below is 63 m2. What is its perimeter?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 19
Julie was showing her brother a trick with his age. She said, “Start with your age, multiply by
3, add 8, divide by 2, and subtract 6. The answer is still your age.”
How old was Julie’s brother?
Answer ___________________
YEAR EIGHT Mathex 2008
Team
Question 20
Find the next term in the sequence: 1, 2, 5, 14, 41 …
Answer ___________________
YEAR EIGHT ANSWERS
1.
13
0
2.
14 or 14
3.
300
4.
25%
5.
E or East
6.
85
7.
10.7 or 10.7 km
8.
75 cm
9.
12 or 12 steps
10.
12
11.
5 or 5 days
12.
15 or 15cm
13.
4
14.
28 or 28 students
15.
2
16.
7 or 7 years old
17.
10 or 10 years old
18.
42 or 42m
19.
4
20.
122
2
or 75
2