1) The mean (average) of the numbers 33, 35, 32, 31, 36, 31 is 32. 2) Solving the equation 1/3m = -3/10 - 9/10 yields m = -3. 3) Anna's investment of $200 for 5 years at 2% per annum compounded annually will be worth $220.

1. JLLA MATHEMATICS
OLYMPIAD YEAR 7

2. Find the
mean of the
following
numbers.
33
35, 32, 31, 36, 31

3. Solve for m in the equation:
1
3
𝑚 = −
3
10
− 𝟗
𝟏𝟎

4. What is the value of Anna’s
investment if she invests $200
for 5 years at the rate of 2%
per annum?
$220

5. Which is smaller between
7.6m and 77cm?
77cm

6. Find the value of w, in the
simplest term, given that
2𝑤 = 4(5 − 6𝑤) – 2w/16 =
3/8 ad
𝟏𝟎
𝟏𝟑

7. Simplify:
(2
𝟏
𝟒
–
𝟐
𝟑
) × 3
𝟑
𝟕
𝟑𝟖
𝟕

8. Abu and Chioma each bought
sandwiches. Abu ate 𝟒
𝟓 of his.
Chioma ate 𝟕
𝟖 of hers.
Who had the most left?
Abu

9. Convert 110112 to base 10.
27

10. Solve for p where:
8p – 6 = 3p + 9
p = 3

11. Find the value of x in the
equation”
𝟑𝟓
𝒙
+ 2 = 9
5

12. A number is multiplied by 4
and 2 is added to it; the result
is 82 minus twice the number.
Find the number.
37

13. Find the sum of the product of
-6 and 2, and -3 and -4.
0

14. Round off 0.002074 to 2
significant figures.
0.0021

15. Simplify:
5(2a – 7) – 4(a -5)
6a – 15

16. The area of a triangle is
54cm2. If the height of the
triangle is 6cm, find its base.
b = 18

17. Divide the area of a circle of
diameter 14cm by the
perimeter of a square of length
3cm.
[π = 22/7]
154/12 or 77/6 or 12𝟓
𝟔

18. A dealer was paid 5% on all
the recharge cards he sold. If
he sold N50,000.00 worth of
cards, how much commission
did he get?
2500

19. What is the interest payable if
Xavier invests $100 for 13 years
at the rate of 5% per annum?
$65

20. List the prime number(s)
between 30 and 40.
31 and 37

21. If 45% passed the test
conducted for 400 students,
how many students failed?
220

22. If 2 : 3 is expressed in the form
x : 12, find the value of x.
8

23. When 2 is added to two-fifth
of a certain number, the result
is 6. Find the number.
10

24. Find the value of t in the
equation:
5t – 7 = 3t + 15.
t = 11

25. Calculate the perimeter of a
circle whose radius is 3.5cm.
[π = 22/7]
22 cm

26. The circumference of a circle is
88cm. Find its radius..
[π = 22/7]
14 cm

27. If 12 is subtracted from 3
times a number, the result is
equal to twice the number plus
16. What is the number?
28

28. If
𝟐
(𝒚 + 𝟑)
=
𝟏
𝟑
,
find y.
y = 3

29. 6 men can dig a pit for 4 days.
How long will it take 4 men
working at the same rate to
dig same pit?
6 days

30. Write this base 10 number (75)
in base 2.
1001011

31. If 700 is increased by 15%,
what will the result be?
805

32. What is the sum of:
the HCF of 28 and 35
and the LCM of 3 and 4?
19

33. If the product of 5 and the
sum of 10 and a certain
number is equal to 15, what is
the number?
-7

34. Which is bigger 25% of 200
OR 20% 0f 250.
They are the
same

35. If y2 + 16 = 52,
solve for y
y = 6

36. Simplify:
(3
𝟑
𝟒
+ 1
𝟏
𝟐
) ÷
𝟕
𝟏𝟐
9

37. Solve for t:
3t – 4 = 8
t = 4

38. Calculate the
total surface
area.
56 𝒄𝒎𝟐

39. Solve for m:
3m – 9 = 3
m = 4

40. Solve for r:
28 = 7r + 7
r = 3

41. What is the area of farmland
measuring 50m by 25m?
1250 m2

42. The area of a square is 121m2.
Find its length.
11 m

43. Solve for r:
39 – r = 2r
13

44. Solve for x:
x – 12 = 18 – 2x
10

45. Simplify:
5y – 2(2y – 3)
y + 6

46. What is the result of
subtracting 20 from half of
82?
21

47. What is the square root of 6
𝟏
𝟒
?
5/2 or 21/2

48. How much is 46 twos?
92

49. By how much is 2m longer
than 150cm?
50 cm or 0.5 m

50. What is the reciprocal of 0.3,
in fraction?
10/3

51. Describe the inequality below.
x > –3

52. Covert this base 2 (10101)
number to base 10.
21

53. What is the product of half of
10 and one-fourth of 20?
10

54. Solve for x:
4x = 48
x = 12

55. What is the sum of all the
prime numbers between 1 and
6?
10

56. Calculate one-tenth of the
product of 5 and 6.
3

57. What is the perimeter of a
circle with a diameter of
14cm?
44 cm

58. Find the
perimeter.
37.6 m

59. Describe the inequality below.
x > 3

60. Solve for x.
6

61. Find the
mode.
31
35, 32, 31, 36, 31