Section A \u2013 MCQs (1 \u00d7 20 = 20 Marks)<\/strong><\/p>\n\n\n\n1. Rationalize: 1 \/ \u221a5<\/p>\n\n\n\n
a) \u221a5<\/p>\n\n\n\n
b) \u221a5 \/ 5<\/p>\n\n\n\n
c) 5\u221a5<\/p>\n\n\n\n
d) 1\/5<\/p>\n\n\n\n
2. (2\u00b3)\u00b2 =<\/p>\n\n\n\n
a) 2\u2075<\/p>\n\n\n\n
b) 2\u2076<\/p>\n\n\n\n
c) 4\u2076<\/p>\n\n\n\n
d) 8\u00b2<\/p>\n\n\n\n
3. Degree of polynomial 5x\u00b3 + 2x\u00b2 \u2212 x + 7 is:<\/p>\n\n\n\n
a) 1<\/p>\n\n\n\n
b) 2<\/p>\n\n\n\n
c) 3<\/p>\n\n\n\n
d) 4<\/p>\n\n\n\n
4. If p(x) = x\u00b2 \u2212 4, then p(2) =<\/p>\n\n\n\n
a) 0<\/p>\n\n\n\n
b) 2<\/p>\n\n\n\n
c) 4<\/p>\n\n\n\n
d) \u22124<\/p>\n\n\n\n
5. If (x \u2212 3) is a factor of a polynomial, then remainder on division by (x \u2212 3) is:<\/p>\n\n\n\n
a) 1<\/p>\n\n\n\n
b) 0<\/p>\n\n\n\n
c) 3<\/p>\n\n\n\n
d) \u22123<\/p>\n\n\n\n
6. (a + b)\u00b2 =<\/p>\n\n\n\n
a) a\u00b2 + b\u00b2<\/p>\n\n\n\n
b) a\u00b2 + 2ab + b\u00b2<\/p>\n\n\n\n
c) a\u00b2 \u2212 2ab + b\u00b2<\/p>\n\n\n\n
d) 2a\u00b2 + 2b\u00b2<\/p>\n\n\n\n
7. Two equal chords of a circle are:<\/p>\n\n\n\n
a) Parallel<\/p>\n\n\n\n
b) Equal in length<\/p>\n\n\n\n
c) Perpendicular<\/p>\n\n\n\n
d) Diameter<\/p>\n\n\n\n
8. Radius of a circle is 7 cm. Diameter is:<\/p>\n\n\n\n
a) 7 cm<\/p>\n\n\n\n
b) 14 cm<\/p>\n\n\n\n
c) 21 cm<\/p>\n\n\n\n
d) 49 cm<\/p>\n\n\n\n
9. Heron\u2019s formula is used to find:<\/p>\n\n\n\n
a) Perimeter<\/p>\n\n\n\n
b) Area of triangle<\/p>\n\n\n\n
c) Volume<\/p>\n\n\n\n
d) Circumference<\/p>\n\n\n\n
10. Curved surface area of a cone =<\/p>\n\n\n\n
a) \u03c0r\u00b2<\/p>\n\n\n\n
b) 2\u03c0rh<\/p>\n\n\n\n
c) \u03c0rl<\/p>\n\n\n\n
d) 4\u03c0r\u00b2<\/p>\n\n\n\n
11. Volume of sphere =<\/p>\n\n\n\n
a) 4\/3 \u03c0r\u00b3<\/p>\n\n\n\n
b) \u03c0r\u00b2h<\/p>\n\n\n\n
c) 2\u03c0r\u00b2<\/p>\n\n\n\n
d) \u03c0r\u00b3<\/p>\n\n\n\n
12. If frequency of a class is zero, it means:<\/p>\n\n\n\n
a) No observation<\/p>\n\n\n\n
b) Negative observation<\/p>\n\n\n\n
c) Infinite observation<\/p>\n\n\n\n
d) One observation<\/p>\n\n\n\n
13. Histogram is used for:<\/p>\n\n\n\n
a) Ungrouped data<\/p>\n\n\n\n
b) Grouped continuous data<\/p>\n\n\n\n
c) Pie chart<\/p>\n\n\n\n
d) Probability<\/p>\n\n\n\n
14. If mean = 10 and number of observations = 5, total sum =<\/p>\n\n\n\n
a) 2<\/p>\n\n\n\n
b) 15<\/p>\n\n\n\n
c) 50<\/p>\n\n\n\n
d) 5<\/p>\n\n\n\n
15. (x\u00b3 \u2212 1) is divisible by:<\/p>\n\n\n\n
a) x \u2212 1<\/p>\n\n\n\n
b) x + 1<\/p>\n\n\n\n
c) x \u2212 3<\/p>\n\n\n\n
d) x + 3<\/p>\n\n\n\n
16. \u221a18 can be simplified as:<\/p>\n\n\n\n
a) 3\u221a2<\/p>\n\n\n\n
b) 2\u221a3<\/p>\n\n\n\n
c) 9\u221a2<\/p>\n\n\n\n
d) 6\u221a3<\/p>\n\n\n\n
17. If radius doubles, volume of sphere becomes:<\/p>\n\n\n\n
a) Double<\/p>\n\n\n\n
b) 4 times<\/p>\n\n\n\n
c) 6 times<\/p>\n\n\n\n
d) 8 times<\/p>\n\n\n\n
18. Sum of frequencies in a distribution is called:<\/p>\n\n\n\n
a) Mean<\/p>\n\n\n\n
b) Total frequency<\/p>\n\n\n\n
c) Class interval<\/p>\n\n\n\n
d) Mode<\/p>\n\n\n\n
19. In a circle, perpendicular from centre to chord:<\/p>\n\n\n\n
a) Bisects the chord<\/p>\n\n\n\n
b) Doubles the chord<\/p>\n\n\n\n
c) Is tangent<\/p>\n\n\n\n
d) Is radius<\/p>\n\n\n\n
20. (a \u2212 b)(a + b) =<\/p>\n\n\n\n
a) a\u00b2 + b\u00b2<\/p>\n\n\n\n
b) a\u00b2 \u2212 b\u00b2<\/p>\n\n\n\n
c) a\u00b2 \u2212 2ab + b\u00b2<\/p>\n\n\n\n
d) a\u00b2 + 2ab + b\u00b2<\/p>\n\n\n\n
Section B \u2013 Very Short Answer (2 \u00d7 5 = 10 Marks)<\/strong><\/p>\n\n\n\n1. Rationalize: 5 \/ \u221a3<\/p>\n\n\n\n
2. Find degree of polynomial 7x\u2074 \u2212 3x + 9.<\/p>\n\n\n\n
3. If p(x) = x\u00b3 \u2212 2x\u00b2 + 1, find p(1).<\/p>\n\n\n\n
4. Find curved surface area of cone of radius 7 cm and slant height 10 cm.<\/p>\n\n\n\n
5. Find mean of 5, 7, 9.<\/p>\n\n\n\n
Section C \u2013 Short Answer Questions (3 \u00d7 6 = 18 Marks)<\/strong><\/p>\n\n\n\n1. Factorize: x\u00b3 \u2212 27.<\/p>\n\n\n\n
2. Using Remainder Theorem, find remainder when x\u00b3 \u2212 3x\u00b2 + 2 is divided by (x \u2212 2).<\/p>\n\n\n\n
3. Prove: Equal chords of a circle subtend equal angles at the centre.<\/p>\n\n\n\n
4. Find area of triangle with sides 7 cm, 8 cm, 9 cm using Heron\u2019s formula.<\/p>\n\n\n\n
5. Find volume of sphere of radius 7 cm.<\/p>\n\n\n\n
6. Construct a frequency polygon from given grouped data.<\/p>\n\n\n\n
Section D \u2013 Long Answer Questions (5 \u00d7 4 = 20 Marks)<\/strong><\/p>\n\n\n\n1. Simplify using identities:<\/p>\n\n\n\n
(2x + 5)\u00b2 \u2212 (2x \u2212 5)\u00b2<\/p>\n\n\n\n
2. Prove that perpendicular from centre to chord bisects the chord.<\/p>\n\n\n\n
3. Find total surface area and volume of a cone of radius 7 cm and height 24 cm.<\/p>\n\n\n\n
4. The following data shows marks of students:<\/p>\n\n\n\n
Class Interval:<\/p>\n\n\n\n
0\u201310, 10\u201320, 20\u201330, 30\u201340, 40\u201350<\/p>\n\n\n\n
Frequency:<\/p>\n\n\n\n
3, 5, 9, 7, 6<\/p>\n\n\n\n
(a) Construct histogram<\/p>\n\n\n\n
(b) Find total frequency<\/p>\n\n\n\n
Section E \u2013 Case Study Based Questions (4 \u00d7 3 = 12 Marks)<\/strong><\/p>\n\n\n\nCase Study 1:<\/strong><\/p>\n\n\n\nA tent is in the shape of a cone placed on a circular base. Radius = 7 m, height = 24 m.<\/p>\n\n\n\n
(i) Find slant height.<\/p>\n\n\n\n
(ii) Find curved surface area.<\/p>\n\n\n\n
(iii) Find volume of tent.<\/p>\n\n\n\n
Case Study 2:<\/strong><\/p>\n\n\n\nA survey of 40 students\u2019 marks is grouped into class intervals.<\/p>\n\n\n\n
(i) Why is histogram suitable here?<\/p>\n\n\n\n
(ii) What is total frequency?<\/p>\n\n\n\n
(iii) How is frequency polygon drawn?<\/p>\n\n\n\n
Case Study 3:<\/strong><\/p>\n\n\n\nA triangle has sides 13 cm, 14 cm, 15 cm.<\/p>\n\n\n\n
(i) Find semi-perimeter.<\/p>\n\n\n\n
(ii) Find area using Heron\u2019s formula.<\/p>\n\n\n\n
(iii) Verify area using identity method if possible.
<\/p>\n","protected":false},"excerpt":{"rendered":"
Time: 3 Hours Maximum Marks: 80 Section A \u2013 MCQs (1 \u00d7 20 = 20 Marks) 1. Rationalize: 1 \/ \u221a5 a) \u221a5 b) \u221a5 \/ 5 c) 5\u221a5 d) 1\/5 2. (2\u00b3)\u00b2 = a) 2\u2075 b) 2\u2076 c) 4\u2076…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-162993","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"\n
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