hummingbirdeducation.com HMCSE Humming Bird Integrated Olympiad Sample Question Paper : Education
Name of the Organisation : Humming Bird Education Pvt. Ltd
Name of the Exam : Humming Bird Integrated Olympiad
Document Type : Sample Papers
Category : Class 1 – 12
Website : https://hummingbirdeducation.com/
Humming Bird Integrated Olympiad Sample Question Paper :
Sample Paper for 10th Class :
Mathematics :
Time : 60 Minutes
Related : Eduheal Foundation NIPO-National IIT-PMT Olympiad Sample Paper : www.pdfquestion.in/13639.html
1. If A: Rational numbers are always closed under division&
R: division by zero is not defined,
Then which of the following statement is correct?
(a) A is true and R is correct explanation of A
(b) A is False and R is correct explanation of A
(c) A is true and R is False
(d) None of these
2. The point (3, 2) is at a distance of ……… units from Y-axis.
(a) 2
(b) 3
(c) 5
(d) 4
3. From the adjoining figure, the value of x is
(a) 3
(b) 2
(c) 1
(d) None of these
4. In a triangle ABC, AB =AC and AD is perpendicular to BC. State the property by which triangle ADB is similar to triangle ADC.
(a) SAS property
(b) SSS property
(c) RHS property
(d) ASA property
5. Which is False?
(a) Two triangles having same area are congruent
(b) If two sides and one angle of a triangle are equal to corresponding two sides and the angle of another triangle, then the two triangles are congruent
(c) Both of these
(d) None of these
6. ABCD is a quadrilateral where all the four angles are right angle and AB = BC = CD = DA. Then ABCD is called
(a) Rhombus
(b) Square
(c) Parallelogram
(d) All the Above
7. One of the diagonals of Rhombus is equal to the one of the sides of Rhombus. The angles of Rhombus are
(a) 600 & 800
(b) 600 & 1200
(c) 1200 & 2400
(d) 1000 & 1200
8. The top of a broken tree touches the ground at a distance of 15m from its base. If the tree is broken at a height of 8m from the ground then the actual height of tree is
(a) 20
(b) 25
(c) 30
(d) 17
9. The total surface area of a cylinder is 220 sq cm with height 6.5 cm. Then its volume is
(a) 2.5025 cm3
(b) 25.025 cm3
(c) 250.25 cm3
(d) 2502.5 cm3
10. A cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm. is dropped in it. After it was completely immersed, The raise in the level of water is
(a) 0.8 cm
(b) 0.5 cm
(c) 0.1 cm
(d) None
11. A cone of radius 10 cm is divided into two parts by drawing a plane through the midpoint of its axis, parallel to its base. The ratio of volumes of the two parts formed is…….
(a) 1:7
(b) 2:7
(c) 3:7
(d) None of these
12. Two cylinders of same volume have their heights in the ratio 1:3. Find the ratio of their radii.
(a) v3:1
(b) v2:1
(c) v5:2
(d) 2: v5
13. If the Arithmetic mean of 6, 8, 5, 7, x and 4 is 7. Then x is
(a) 12
(b) 6
(c) 8
(d) 4
14. The median of the following data 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92 is
(a) 87
(b) 77
(c) 58
(d) 60.2
15. The mean of 20 observations is 12.5. By error, one observation is noted as -15 instead of 15. Then the correct mean is
(a) 11.75
(b) 11
(c) 14
(d) None of these
Sample Paper for 5th Class :
Mathematics :
Time: 60 Minutes
1. 1 more than 6998 is
(a) 7000
(b) 6999
(c) 9999
(d) 6997
2. What is the number for 51023?
(a) Fifty thousand and three
(b) Fifty one thousand
(c) Fifty one Thousand Twenty three
(d) None of these
3. Find the descending order for the following:
1316, 41821, 51167, 3210
(a) 1316, 3210, 41821, 51167
(b) 51167, 41821, 3210, 1316
(c) 41821, 51167, 3210, 1316
(d) 3110, 1316, 4182, 1167
4. Find the kinds Arabic numeral for XXXV.
(a) 35
(b) 25
(c) 45
(d) None
5. Fill in with the correct Sign : XXIV _____ 20
(a) >
(b) <
(c) =
(d) None
6. Riya bought an old car for Rs 82836 and a new scooter for Rs 21505. Find the total cost.
(a) 104341
(b) 103131
(c) 102131
(d) 94341
Sample Paper for 3rd Class :
Mathematics :
1. Fill in the blanks with correct numbers.
90, ___,____,____,____,85
(a) 89,88,87,86
(b) 86,87,88,89
(c) 99,98,97,96
(d) 90,91,92,93
2. Identify the number which is less than 39.
(a) 41
(b) 55
(c) 69
(d) 38
3. What is the reduced form for 1 ten + 9 Ones?
(a) 91
(b) 9
(c) 19
(d) 1
4. What is the result for 54+22?
(a) 66
(b) 76
(c) 84
(d) 77
6. The Result for 44-08 is
(a) 36
(b) 34
(c) 44
(d) 48
7. Write the number 152 in Hundreds, Tens & Ones form
(a) 5 Hundreds, 2 Tens, 1 Ones
(b) 1 ones, 5 Hundred, 2 tens
(c) 1 Hundreds, 5 Tens, 2 ones
(d) 2 Ones, 5 Hundreds, 1 tens
8. Write the number name for 482?
(a) Four Hundred Eighty Two
(b) Four Hundred Eighty
(c) Four Hundred Two
(d) Four Hundred