APSMO MATHS OLYMPIAD DIVISION SSAMPLE OLYMPIAD 1

© 2015 APSMO Inc.                    www.apsmo.edu.au

Time Limit: 25 minutes

1. Time: 4 minutes

When Jenna opens her favorite book, the product of the page numbers on the pages facing her is 420. What is the smaller of the two page numbers facing Jenna?

2. Time: 4 minutes

The sum of two prime numbers is 2001. What is the larger of these primes?

3. Time: 6 minutes

Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Her brother Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm. What is the number of cm in the perimeter of the rectangle?

4. Time: 6 minutes

On a recent Geography test, Amanda scored 5 points below the class average, Barb scored 8 points above the class average, and Colin scored 82.

The average of the scores of Amanda, Barb, and Colin was equal to the class average.

What was the class average?

5. Time: 5 minutes

Two congruent isosceles triangles, ABC and DEF, overlap so that their bases are parallel and the vertex of each is the midpoint of the base of the other as shown. If the area of the overlap is 12sq cm, how many sq cm are in the area of triangle ABC?

 

 

 

 

 

A

B C D

E F

 

APSMO MATHS OLYMPIAD DIVISION SSAMPLE OLYMPIAD 1

© 2015 APSMO Inc.                    www.apsmo.edu.au

 

 

 

ANSWERS

1. 20

2. 1999

3. 112cm

4. 85

5. 24cm2