THE GUY’S HILL HIGH SCHOOL
2013 Mathematical Olympiad
First Round Test for Grades 5 & 6
NAME: ______DATE: ______
SCHOOL: ______GRADE: ______
CONTACT TEACHER: ______
CONTACT TEACHER’S PHONE #: ______STUDENT PHONE #: ______
PLEASE PUT YOUR ANSWERS HERE
1. ______
2.
3. = ______
4.
______
5. ______
6. ______
7. ______
THE GUY’S HILL HIGH SCHOOL
2013 Mathematical Olympiad
First Round Test for Grades 5 & 6
INSTRUCTIONS TO CANDIDATES
1. Answer all Questions. All Calculations must be shown to attain the full possible marks allocated to each question.
2. Cell phones and iPods are strictly prohibited from the examination room.
3. Except in cases of emergencies, candidates will not b allowed to leave the room before the stated end of the examination.
1) Every evening, John jogs from his home to a nearby field. Then he jogs around the field once before jogging home. How far does John jog every evening?
2) These are number cards.
Use all the number cards above to fill in the boxes provided. Copy and complete.
3) + + = 300
+ + = 250
+ + =
What is the value of ?
4) Study the patterns below and draw the next two diagrams in the sequence
5) Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
6) John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
7) One tour bus can seat no more than 55 people. What is the smallest number of buses
needed to take 160 people on a trip?
8) Nickiesha ate one sweetie one day, and each day afterward she ate one sweetie more than
he did the day before. How many sweeties did she eat during her first week at school?
9) How many rectangles may be found in the figure below?
10) Shania subtracted the smallest three-digit number with all digits different, from the largest
three-digit number with all digits different. What was the result?
11) In the figure below, Regions I, II, III, and IV are squares. The perimeter of Square I is
16 cm and the perimeter of Square II is 24 cm. What is the perimeter, in centimetres, of
Square IV?
12) An odd whole number between 60 and 80 is divisible by 7 and by 9. What is the sum
of its digits?
13) You finally get pocket money, you put $2 away in January, $4 in February, $8 in march and $16 in April. If this pattern continues how much money will you have at the end of 12 months?
14) Jeff has ½ a pizza left in the fridge. At breakfast he ate 1/3 of it. How much does he have left for lunch?
15) Using the numbers given, write down a division sentence and a multiplication sentence.
(Use each number once only).
______x ______= ______
______÷ ______= ______
16)
The length of the comb is ______cm.
17)
The arrow above is made up of ______straight lines and ______curves.
We use 6 cubes to build a 3-step staircase. How many cubes are needed for a 6-step staircase?
19) Ben has 150 marbles.
John has 30 fewer marbles than Ben.
How many marbles do they have altogether?
20) How many rectangles may be found in the figure below?
End of Questions
For more information, extra copies of this question paper, and the latest updates, please visit
the following website: http://anymathcanbedone.wikispaces.com
(see the link to the Guy’s Hill High Math Olympiad Resource Centre).