SilverZone IOM International Mathematics Olympiad Sample Question Paper
Name of the Organisation : SilverZone/ Silver Zone
Name of the Exam : International Mathematics Olympiad
Document Type : Sample Question Paper
Website : https://www.silverzone.org/
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Silver Zone IMO Question Paper
Class – V
(Syllabus & Sample Questions)
Number System, Operation on Numbers, Roman Numerals, Factors and Multiples, Fractions, Decimals, Geometrical Concepts, Area and Perimeter of Geometrical Figures, Graphical Representation of Data, Number Series, Applied Mathematics, Mental Aptitude.
Related : SilverZone SKGKO Smart Kid General knowledge Olympiad Sample Question paper : www.pdfquestion.in/8556.html
The Actual Question Paper Contains 50 Questions. The Duration of the Test Paper is 60Minutes
1. For long distance telephone calls, a telephone company charges 30 paise per minute or 1 paisa for two seconds. What would be the cost of a call for 3 minutes and 20 seconds?
(A) ` 1.00
(B) ` 1. 20
(C) ` 1. 25
(D) ` 1. 30
(E) None of these
2. Using the digits 0, 1, 2, 3 make the least four digit number and represent the number with the help of a Roman Numeral. Digit should not be repeated.
(A) MXXIII
(B) MCXII
(C) CMXXIII
(D) MMMCCX
(E) None of these
3. Find the perimetre of the given figure.
(A) 12 m (B) 18 m
(C) 9 m (D) 17 m
(E) None of these
4. During a 3 – day festival, the number of visitors increases three times each day. If the festival ended on day 3 with 3105 visitors on that day, then how many visitors attended on day 1?
(A) 315
(B) 330
(C) 345
(D) 360
(E) 375
5. A number has 5 hundreds, 7 tens, 2 ones, 3 tenths, 6 hundredths and 5 thousandths. Write the number.
(A) 572365
(B) 57236.5
(C) 5723.65
(D) 572.365
(E) None of these
6. X is a decimal, when X is converted into fraction, it gives 25/4 . Find the value of X.
(A) 6.50
(B) 6.25
(C) 6.35
(D) 7.25
(E) None of these
7. A is twice of B, B is twice of C, C is twice of D and D is twice of E then
(A) B = 4E
(B) B = E
(C) B = 8E
(D) B = 6E
(E) None of these
8. M = 34, O = 23, N = 45, K = 21, E = 7, Y = 24 then what is the value of M + O – N × K ÷ E + Y?
(A) 7256
(B) – 45
(C) – 54
(D) – 345
(E) None of these
9. If XYZ = 789 and ABC = 123, then BAXY = ?
(A) 1239
(B) 9876
(C) 2178
(D) 3789
(E) None of these
10. Look at the following figure Area of triangle is 144 cm2. Find the value of y.
(A) 8 cm
(B) 32 cm
(C) 24 cm
(D) 36 cm
(E) None of these
Answers : 1. (A) 2. (A) 3. (B) 4. (C) 5. (D) 6. (B) 7. (C) 8. (C) 9. (C) 10. (D)
Class – IX
1. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
(A) 4
(B) 10
(C) 15
(D) 16
(E) None of these
2. Find the coordinates of the vertex A of ABC, if D(3, –2), E(–3, 1) and F(4, –3) are the midpoints of BC, AC and AB respectively.
(A) (10, –6)
(B) (–2, 0)
(C) (–4, 2)
(D) (5, –3)
(E) None of these
3. There are twenty books in a library numbered 61 to 80 on their cover page. What is the probability of getting a book having a multiple 8 or a prime number on its cover page?
(A) 1/5
(B)2/5
(C)3/80
(D)1/10
(E) None of these
4. If 5 pencils and 7 pens together cost 50, whereas 7 pencils and 5 pens together cost 46, find the cost of one pen.
(A) 5
(B) 6
(C) 2
(D) 4
(E) None of these
5. ABCD is a square of side a cm. AB, BC, CD and AD all are the chords of circles with equal radii each. If the chords subtends an angle of 120° at their respective centres, find the total area of the given figure where arcs are part of the circles
(A) 48 cm2
(B) 42 cm2
(C) 36 cm2
(D) 56 cm2
(E) None of these
7. An aeroplane leaves an airport and flies due north at a speed of 1000 km/h. At same time, another plane flies due west at a speed of 1200 km/h from the same place. The approximate distance between the two planes after 1.5 hours will be:
(A) 2400 km
(B) 2520 km
(C) 2343 km
(D) 2434 km
(E) None of these
8. If O is the centre of the circle, then measure of QPM in the following figure is:
(A) 65°
(B) 50°
(C) 40°
(D) 72°
(E) None of these
9. Three years ago, the mean age of Harison’s family of 5 members was 17. A baby having been born, the average age of his family remains same today. The present age of the baby is:
(A) 1 year
(B) 1.5 years
(C) 2.5 years
(D) 2 years
(E) None of these
10. The volume of the shaded region in the following figure is:
(A) 8p cm3
(B) 4 p cm3
(C) 2p cm3
(D) 12p cm3
(E) None of these
Answers : 1. (C) 2. (A) 3. (D) 4. (B) 5. (C) 6. (A) 7. (C) 8. (C) 9. (D) 10. (A)
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