YEAR NINE Mathex 2007 Team

Question 1

A jar contains 454 g of sugar. If 5 jars with sugar weigh 2.95 kg. What is the mass of an empty jar ?

Answer

YEAR NINE Mathex 2007 Team

Question 1

A jar contains 454 g of sugar. If 5 jars with sugar weigh 2.95 kg. What is the mass of an empty jar ?

Answer

YEAR NINE Mathex 2007 Team

Question 1

A jar contains 454 g of sugar. If 5 jars with sugar weigh 2.95 kg. What is the mass of an empty jar?

Answer

YEAR NINE Mathex 2007 Team

Question 2

There are 12 boys in a swimming club of 30 students. At the end of the term half the boys leave and two-thirds of the girls stay. The percentage of girls now in the club is:

Answer

YEAR NINE Mathex 2007 Team

Question 2

There are 12 boys in a swimming club of 30 students. At the end of the term half the boys leave and two-thirds of the girls stay. The percentage of girls now in the club is:

Answer

YEAR NINE Mathex 2007 Team

Question 2

There are 12 boys in a swimming club of 30 students. At the end of the term half the boys leave and two-thirds of the girls stay. The percentage of girls now in the club is:

Answer

YEAR NINE Mathex 2007 Team

Question 3

If a tournament of 8 teams requires a full round robin so each team plays all other teams as well as two semi finals and a final, how many games need to be played?

YEAR NINE Mathex 2007 Team

Question 3

If a tournament of 8 teams requires a full round robin so each team plays all other teams as well as two semi finals and a final, how many games need to be played?

YEAR NINE Mathex 2007 Team

Question 3

If a tournament of 8 teams requires a full round robin so each team plays all other teams as well as two semi finals and a final, how many games need to be played?

YEAR NINE Mathex 2007 Team

Question 4

William and Harrison are given the same number of badges to sell at the local fete. William sells 90 % of his badges, while Harrison sells ¾ of his. Between them they raise $ 495, then how much more money did William raise compared to Harrison?

Answer

YEAR NINE Mathex 2007 Team

Question 4

William and Harrison are given the same number of badges to sell at the local fete. William sells 90 % of his badges, while Harrison sells ¾ of his. Between them they raise $ 495, then how much more money did William raise compared to Harrison?

Answer

YEAR NINE Mathex 2007 Team

Question 4

William and Harrison are given the same number of badges to sell at the local fete. William sells 90 % of his badges, while Harrison sells ¾ of his. Between them they raise $ 495, then how much more money did William raise compared to Harrison?

Answer

YEAR NINE Mathex 2007 Team

Question 5

A rectangle has length (x + 7) cm and width (x + 1) cm. If the perimeter is 28 cm, what are the dimensions of the rectangle?

Answer .

YEAR NINE Mathex 2007 Team

Question 5

A rectangle has length (x + 7) cm and width (x + 1) cm. If the perimeter is 28 cm, what are the dimensions of the rectangle?

Answer .

YEAR NINE Mathex 2007 Team

Question 5

A rectangle has length (x + 7) cm and width (x + 1) cm. If the perimeter is 28 cm, what are the dimensions of the rectangle?

Answer .

YEAR NINE Mathex 2007 Team

Question 6

If two dice are rolled and the two numbers shown are added together, what is the chance that the total is more than 7?

YEAR NINE Mathex 2007 Team

Question 6

If two dice are rolled and the two numbers shown are added together, what is the chance that the total is more than 7?

YEAR NINE Mathex 2007 Team

Question 6

If two dice are rolled and the two numbers shown are added together, what is the chance that the total is more than 7?

YEAR NINE Mathex 2007 Team

Question 7

Six basket ball players have an average height of 2.00m and five soccer players have an average of 1.56m, what is the average height of the combined group?

YEAR NINE Mathex 2007 Team

Question 7

Six basket ball players have an average height of 2.00m and five soccer players have an average of 1.56m, what is the average height of the combined group?

YEAR NINE Mathex 2007 Team

Question 7

Six basket ball players have an average height of 2.00m and five soccer players have an average of 1.56m, what is the average height of the combined group?

YEAR NINE Mathex 2007 Team

Question 8

The sum of three consecutive even numbers is 126. What are the numbers?

Answer

YEAR NINE Mathex 2007 Team

Question 8

The sum of three consecutive even numbers is 126. What are the numbers?

Answer

YEAR NINE Mathex 2007 Team

Question 8

The sum of three consecutive even numbers is 126. What are the numbers?

Answer

YEAR NINE Mathex 2007 Team

Question 9

Campsite A is 20 km to the west of Base Camp, while Campsite B is 15 km south of Campsite A. What is the distance from Base Camp to Campsite B?

Answer

YEAR NINE Mathex 2007 Team

Question 9

Campsite A is 20 km to the west of Base Camp, while Campsite B is 15 km south of Campsite A. What is the distance from Base Camp to Campsite B?

Answer

YEAR NINE Mathex 2007 Team

Question 9

Campsite A is 20 km to the west of Base Camp, while Campsite B is 15 km south of Campsite A. What is the distance from Base Camp to Campsite B?

Answer

YEAR NINE Mathex 2007 Team

Question 10

The mean of 15 numbers is 6 and the mean of another group of 5 numbers is 12. When both groups are combined, the mean will be?

Answer

YEAR NINE Mathex 2007 Team

Question 10

The mean of 15 numbers is 6 and the mean of another group of 5 numbers is 12. When both groups are combined, the mean will be?

Answer

YEAR NINE Mathex 2007 Team

Question 10

The mean of 15 numbers is 6 and the mean of another group of 5 numbers is 12. When both groups are combined, the mean will be?

Answer

YEAR NINE Mathex 2007 Team

Question 11

The median of 5 numbers is 4. If four of the numbers are 33, 6, 4 and 1, then the fifth number may be:

Answer

YEAR NINE Mathex 2007 Team

Question 11

The median of 5 numbers is 4. If four of the numbers are 33, 6, 4 and 1, then the fifth number may be:

YEAR NINE Mathex 2007 Team

Question 11

The median of 5 numbers is 4. If four of the numbers are 33, 6, 4 and 1, then the fifth number may be:

YEAR NINE Mathex 2007 Team

Question 12

Five discs labelled 1, 2, 3, 4 and 5 are placed in a bag. Two are withdrawn and placed side by side to form a two-digit number. What is the probability that the number exceeds 20?

Answer

YEAR NINE Mathex 2007 Team

Question 12

Five discs labelled 1, 2, 3, 4 and 5 are placed in a bag. Two are withdrawn and placed side by side to form a two-digit number. What is the probability that the number exceeds 20?

Answer

YEAR NINE Mathex 2007 Team

Question 12

Five discs labelled 1, 2, 3, 4 and 5 are placed in a bag. Two are withdrawn and placed side by side to form a two-digit number. What is the probability that the number exceeds 20?

Answer

YEAR NINE Mathex 2007 Team

Question 13

Five children clubbed together to give Mum a present. Each gave a different whole number of dollars, but no-one gave $2. If the total was $20, how much did each child give?

Answer

YEAR NINE Mathex 2007 Team

Question 13

Five children clubbed together to give Mum a present. Each gave a different whole number of dollars, but no-one gave $2. If the total was $20, how much did each child give?

Answer

YEAR NINE Mathex 2007 Team

Question 13

Five children clubbed together to give Mum a present. Each gave a different whole number of dollars, but no-one gave $2. If the total was $20, how much did each child give?

Answer

YEAR NINE Mathex 2007 Team

Question 14

a How many 100’s in 67

b How many 1000’s in 67

Write answers as decimals.

Answers

YEAR NINE Mathex 2007 Team

Question 14

a How many 100’s in 67

b How many 1000’s in 67

Write answers as decimals.

Answers

YEAR NINE Mathex 2007 Team

Question 14

a How many 100’s in 67

b How many 1000’s in 67

Write answers as decimals.

Answers

YEAR NINE Mathex 2007 Team

Question 15

36

16 20

7 9 11

3 4 5 6

This is an example of a special number pyramid with starting number 3

Find the starting number if the top number is 28 and the base are consecutive numbers.

YEAR NINE Mathex 2007 Team

Question 15

36

16 20

7 9 11

3 4 5 6

This is an example of a special number pyramid with starting number 3

Find the starting number if the top number is 28 and the base are consecutive numbers.

YEAR NINE Mathex 2007 Team

Question 15

36

16 20

7 9 11

3 4 5 6

This is an example of a special number pyramid with starting number 3

Find the starting number if the top number is 28 and the base are consecutive numbers.

YEAR NINE Mathex 2007 Team

Question 16

What is the sum of the numbers of vertices, the number of faces and the number of edges on a cube?

Answer

YEAR NINE Mathex 2007 Team

Question 16

What is the sum of the numbers of vertices, the number of faces and the number of edges on a cube?

Answer

YEAR NINE Mathex 2007 Team

Question 16

What is the sum of the numbers of vertices, the number of faces and the number of edges on a cube?

Answer

YEAR NINE Mathex 2007 Team

Question 17

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs.

The Brown basket has one more egg in it than the Red basket.

The Red basket has 3 eggs less than the Pink basket.

How many eggs are in the pink basket?

YEAR NINE Mathex 2007 Team

Question 17

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs.

The Brown basket has one more egg in it than the Red basket.

The Red basket has 3 eggs less than the Pink basket.

How many eggs are in the pink basket?

YEAR NINE Mathex 2007 Team

Question 17

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs.

The Brown basket has one more egg in it than the Red basket.

The Red basket has 3 eggs less than the Pink basket.

How many eggs are in the pink basket?

YEAR NINE Mathex 2007 Team

Question 18

A water-lily doubles its diameter each day. After 12 days it has a diameter of 2m. When did it have a diameter of 50cm?

Answer

YEAR NINE Mathex 2007 Team

Question 18

A water-lily doubles its diameter each day. After 12 days it has a diameter of 2m. When did it have a diameter of 50cm?

Answer

YEAR NINE Mathex 2007 Team

Question 18

A water-lily doubles its diameter each day. After 12 days it has a diameter of 2m. When did it have a diameter of 50cm?

Answer

YEAR NINE Mathex 2007 Team

Question 19

Which of the two sets of digits

8,1,5,4 or 7,0,3,9

can make the lowest even number (numbers cannot start with zero)

YEAR NINE Mathex 2007 Team

Question 19

Which of the two sets of digits

8,1,5,4 or 7,0,3,9

can make the lowest even number (numbers cannot start with zero)

YEAR NINE Mathex 2007 Team

Question 19

Which of the two sets of digits

8,1,5,4 or 7,0,3,9

can make the lowest even number (numbers cannot start with zero)

YEAR NINE Mathex 2007 Team

Question 20

I gave my assistant 20 tomatoes to sell at 5 for $1 and 40 to sell at 5 for $2. She sold all 60 at 5 for $1.50. How much income was lost?

Answer

YEAR NINE Mathex 2007 Team

Question 20

I gave my assistant 20 tomatoes to sell at 5 for $1 and 40 to sell at 5 for $2. She sold all 60 at 5 for $1.50. How much income was lost?

Answer

YEAR NINE Mathex 2007 Team

Question 20

I gave my assistant 20 tomatoes to sell at 5 for $1 and 40 to sell at 5 for $2. She sold all 60 at 5 for $1.50. How much income was lost?

Answer

YEAR NINE Mathex 2007 Team

Question Tie Breaker

How many birthdays will you have celebrated when you are one million minutes old?

Answer

YEAR NINE Mathex 2007 Team

Question Tie Breaker

How many birthdays will you have celebrated when you are one million minutes old?

Answer

YEAR NINE Mathex 2007 Team

Question Tie Breaker

How many birthdays will you have celebrated when you are one million minutes old?

Answer