Page 310 - Start Up Mathematics_6

Section C No, in fact every fraction is a rational number.

3. (a) 0 (b) –8 (c) 2 (d) co-prime (e) equal Section D
3
Section D 22. 450 g
5 23. Parallelogram Opposite sides are parallel
4. (a) –7 (b) 6 (c)
Rhombus A parallelogram in which adjacent sides
are equal
(d)
0 3 1
8 Rectangle Opposite sides are parallel and each
angle is 90°
(e) 3 right angles
Section E Trapezium A pair of opposite sides is parallel
5. For positive integers sum is greater than the integer. 24. 120 surgeons
For negative integers sum is less than the integer. 25. (a) Closure property: True—Since product of any two
For integer 0 sum is equal to the integer. whole numbers is again a whole number.
4 (b) Associative property: True—For whole numbers a,
6. 15 b and c; (a × b) × c = a × (b × c)

Sample Test Paper 3 (c) Existence of multiplicative identity: True—For every
a  W; a × 1 = a = 1 × a
Section A 1 is multiplicative identity of whole numbers.
1. D 2. B 3. B 4. B 5. A (d) Existence of multiplicative inverse: False
6. D 7. D 8. C 9. B 10. A Reciprocal of a non-zero whole number except 1
Section B does not exist in whole numbers.
11. 7,45,32,601—Seven crore forty-five lakh thirty-two Sample Test Paper 4
thousand six hundred one
12. 2,756 × 81 + 19 × 2,756 Section A
= 2,756 × 81 + 2,756 × 19 (Commutative property) 1. (a) D (b) C (c) D (d) C (e) A
= 2,756 × (81 + 19) (Distributive property) Section B
= 2,756 × 100 = 2,75,600 2. (a) True (b) True (c) False (d) True (e) False
Section C
13. A = sum of odd places = 1 + 0 + 5 + 3 = 9 3. (a) 0.12 (b) 7 (c) area (d) 54 cm (e) 3x
2
B = Sum of even places = 6 + 6 + 8 = 20 Section D
Difference = B – A = 11, hence, the number is divisible 4. (a) x + 4 = 7 (Note: Answer may vary)
by 11. (b) 7 cm (c) 43.81 (d) 8.005 km (e) –5
14. A polygon is a simple closed figure made up of line Section E
segments. Hexagon 5. Square, 25 cm
2
15. Scalene—all sides different; isosceles—2 sides equal; 6. (a) Class XII, 12 (b) 27 (c) Yes; 3 prefects
equilateral—3 sides equal
16. x = –2, –1, 0, 1, 2 Sample Test Paper 5
5 1 4 – 1 3 Section A
17. 1 – 20 = 1 – 4 = 3 = 4 1. (a) D (b) C (c) B (d) C (e) A
Section C Section B
18. 3,05,000, 3,05,040 2. (a) False (b) False (c) False (d) False (e) True
19. 70 = 2 × 5 × 7, 105 = 3 × 5 × 7, 75 = 3 × 5 × 5 Section C
 HCF of 70, 105 and 75 is 5. 3. (a) equal (b) 80 (c) 0 (d) 180° (e) one
20. Diameter = AB, sector = AOCA or BOCB, Section D
segment = AOBA 4. (a) Perpendicular drawn at the midpoint of the line seg-
a ment
21. A fraction is of the form where a, b are natural numbers (b) 36 (c) 1 line of symmetry (d) 4
b
9
and a rational number is of the form p where p, q are (e) 3 or more points are said to be collinear if they lie
q
integers and q ≠ 0. on the same line
302