Download FEMSISA Grade Nine Mathematics Olympiad 2014

SOUTHERN AFRICAN JUNIOR MATHEMATICS OLYMPIAD
FEMSISA
(SAJMO)
GRADE NINE
ROUND ONE
DATE: 26 - 30 MAY 2014
TIME: 90 MINUTES
Instructions:
1.
This booklet has 20 multiple choice questions.
2.
Use the answer sheet provided.
Circle the letter corresponding to your answer.
3.
All working details must be done in the space provided.
3.
Calculators are not permitted.
4.
Diagrams are not necessarily drawn to scale.
5.
The first 15 problems carry one mark each and the next 5 carry 2 marks each.
In order to qualify for the second round you need 7 out of 25 marks.
6.
You have 90 minutes for the paper which works out to an average of 4.5 minutes per
question.
7.
Read the questions carefully before answering.
8.
Visit the website: www.mathematics-forall.com
Grade Nine Mathematics Olympiad 2014
1. Find the value of 6÷ (0.4 x 0.3)
(A) 5
(B) 20
(C) 50
(D) 60
(E) 80
2. Cathy beat the 800 m record by 3.06 seconds. If the new record is 1minute and
59.3 seconds then what was the old record in seconds?
(A)122.36
(B)116.24
(C)115.06
(D)114.36
(E)113.06
3. If 70% of the sales is R12 600 then what is 30% of the sales?
(A) R5100
(B) R5 400
(C) R5700
(D) R6 000
(E) R6 300
4. Desiree’s16th birthday will be on Saturday 17 May 2014. On what day of the week
will Desiree’s birthday in 2015 ?
(A)Friday
(B) Saturday (C)Sunday (D) Monday (E)Tuesday
5. How many perfect cube natural numbers lie between 1000 and 2000?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 7
6. Write down the value of a x b if a.x2 – b.x = - 3.x(4x + 5)
(A )-40
(B) -50
(C) -60
(D) 60
(E)70
7. (2x + 1)(2x - 1) is equal to …
(A) 2x - 1
(B) 4x + 1
(C) 4x - 1
(D) 4x2 - 1
(E) 4x2 + 1
8. Three express trains leaveA; B and C terminals every 30minutes; 48
minutes and 60 minutes. If all three trains left the terminals at 06:00 then at what
next time will all 3 trains leave the terminals again?
(A)07:00
(B)07:30
(C)08:00
(D)09:00
(E)10:00
9. The table below shows the relationship between x and y which is in the form
y = mx +c. The equation is …
x
y
4
0
(A) y = 2x-2
6
1
10
3
12
4
(B) y = 2x – 1 (C) y= ½ x – 2 (D) y =x-2 (E) y =x+4
10. A proper factor of a number is a number greater than 1 and less than the number
itself. How many proper factors does 462 have?
(A)4 (B)8
(C)9 (D)16 (E)25
11. If a = 2b and 3c = 7b then a + b - c is equal to…
(A)
(B)
(C)
(D)
(E)
12. On a 102 metre by 80 metre plot Des planted trees 1 metre apart and 1 metre from
the border. How many such trees were planted?
(A)6 600
(B)7 200
(C)7 800
(D)8 400
(E)9 000
13. How many zero’s does the following product end in:155 x 67
(A)12
(B)10 (C)8
(D)6
(E)5
14. If (a – nb)2.= a2 + 6ab + 9b2 then the value of n is…
(A) -2
(B) -3
(C) 3
(D) -6
(E) 6
15. The sum of 3 consecutive odd numbers is t. The largest number is…
(A)
(B)
(C)
(D)
(E)
16. What is the value of :22222 x 22223 – 22224 x 22221 ?
(A)6
(B) 4
(C) 2 (D) 1
(E)5
17. In the adjacent figure the information is
600
given. Find
700
700
(A)1400
(B)1300
(C)1200
(D)1000
(E)950
18. The sum of 1100 and
(A)62
is divisible by 11 and 17. Find the smallest value of
(B)52
(C)42
(D)32
(E)22
19. The area of the shaded region is 48 cm2. Find the value of x, in cm, which
represent the equal sides.
6cm
6 cm
8cm
3cm
xxx
(A) 4
(B) 4.5
(C) 5
(D) 5.5
(E) 6
20. How many numbers from 100 to 300 have only 2 consecutive digits being the
same number, (example 110 and not 111)?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
MARKS: 1-15: 15 X 1 = 15
16-20: 5 X 2 = 10
TOTAL: 25