Uttarakhand Board Class 12 Question Paper 2026 For Agricultural Mathematics and Elementary Statistics

FOR UTTARAKHAND CLASS 12 PREPARATION

Uttarakhand Board Class 12
Question Paper 2026 For
Agricultural Mathematics
and Elementary Statistics
EXAM YEAR TYPE SUBJECT

Uttarakhand Class 12 2026 Question Paper Agriculture

Notes · Sample Papers · Previous Year Papers · Mock Tests

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Roll No. a No. of printed pages : 4 4

138 438 (ISF)
2026
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Agricultural Mathematics and Elementary Statistics (Paper-V) m
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tI'ILI : 3 Wt [ BuIB : 50
Time : 3 Hours ] [ Max. Marks : 50
fRan : (i) $Hwq-q3+®a17wqgl ndtWq31fqaTdgl
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Note (i) There are in all 17 questions in this question paper. All questions are
compulsory .
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(ii) s
Marks alloted to each question are given against it.
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(iii) Write the steps of solution of each question in your answer book except
Question No. 1.
(iv) Start from first question and proceed to the last. Do not waste time
over a question, if you can not solve it.
(v) Do all rough work in your answer book.
1 $©wq 85 nb wgb381bfatlvNfiamfid ITd glad 38r3wit3mtlfm©r +
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Four options are given in each part on this question. Write the correct answer in
your answer book:
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a (a) ufa cos o=5/13 e aT sin o ©r qm dFTT:
If cos O=5/13 then value of sin 0 will be:
(i) 5/13 (ii) 1 3/5 (iii) 12/ 13 (iv) 5/ 12
[1] [P.T.0.

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(Tr) af©ga (4, -6) a (-6, 4) b6tuat qd #it:
The distance between two points (4,-6) and (–6, 4) will be:
(i) 10 (ii) 20 (iii) 0 (iv) 10v}
(u) +@ltd 30, 6, o. 14. 34, 11, 42, 28, 92, 25, 34 atqTfla©r g; 1

Median of the numbers 30, 6, 0, 14, 34, 11, 42, 28, 92, 25, 34 is
(i) 34 (ii) 6 (iii) 28 (iv) 11
(s) f:rl;ifafjga++ #tUI%fB©ruqq6tg?
(i) aqrwTEa (ii) TrRa©r (iv)(iii) Wa
Which of the following is not a measure of central tendency?
(i) Arithmetic Mean (ii) Median
(iii) Mode (iv) Standard Deviation
2. Td,N Wit 2, 6. 18. 54, --------- ©r vr8dqavra©tfatII
Find the seventh term of the Geometric Progression 2, 6, 18, 54,
3. 13$<9b8ttr ©rgtrm©vreaBrn®tfatII
Find the Harmonic Mean between 1 and 9.
4. au hHaar MaRTa atfat! fm& q8d (3, -5), (-7, 4) a (10. -2) g1 1

Find the centroid of a triangle whose vertices are (3, -5), (–7, 4) and (10, -2).
5. gT2rftr© 3#tfgakl© (ThT) 3f©g fM ad ?? 1

What are Primary and Secondary Data?
6. vr6tturt3+©rnqrnrvrEa 7glqfaqa©+wr$3ajgfBIITareaqurnTrmrqrgayra
daniel 1

The arithmetic mean of seven numbers is 7. If 3 is added to each number, find
the new arithmetic mean.
7. 12 fRnwHiM w+ bfw 253rwifgfmr++ 5 nlM aTfht#glqfa3ftmern
nlqfdaaTfhdt &fm 3rTMada2r$qRrn3r© w{t©+€u3raM3wrflhitbfm d,
af©a+mN:+guar nmlgl 2

There are 25 candidates to fill 12 vacancies, 5 of whom are from Scheduled
castes. If 3 vacancies are reserved for Scheduled castes and the remaining seats
are for all other remaining candidates, how many ways can they be selected?
8. RTaHO B 'A = sec o–t,n 0
Prove that
A = ,,, o–ta,0 .

9. hw ABC+fH©©Ofa ,in{ = ,,,(T). 2

In triangle ABC, prove that sin{ = COS(V) .

438 (ISF) [2]

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I Uttarakhand Board Class 12 Question Paper 2026 For Agricultural Mathematics and Elementary Statistics

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A conical tent has a vertical height of 12 meters and a base circumference of 22
meters. Find its volume
11. 7asq© ©taTg€t mae. as$ 3+r 3dd nqgr: 60 Mt, 45 +it 3#{ 36 +itil WTb ©TBd
#f# vw w ?27.50H8afituat at+{qnrT+©raumr #TT? 2

The outside length, width, and height of a box are 60 cm, 45 cm and 36 cm
respectively. What would be the cost of painting its entire outside surface at the
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rate of ? 27.50 per square meter?
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2x–y+4=0 3+r 3x+2y–1 =0
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Solve the following linear equations graphically :
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ag and 3x+2y–1=0 Win/ OR
2x-y+4=0

ftla©tfat! faf©q (-5, 1 ), (5, 5), (10, 7) tRa gI
Prove that the points (–5, 1), (5, 5), (10, 7), are collinear.
13. 3©f©%&Wtama©tfmatf©gH (3, 4) 3#r(-2.o)dfiraT+aTat twa 1 :3 huw
+3ra;fbrTfaa©tar e1 4
Find the coordinates of the point which divides the line joining the points (3, 4)
and (-2, 0) internally in the ratio 1:3.
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If the mean of the following frequency distribution is 20, then find the value of p:

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qRaTdF/Marks Obtained
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Number of Students 4 5P 6

15. c©!#qgmTi}m,fali©r =m:a2rraTEa©ra©qa:4+itam8#tg,aTrnr©t8:M©ra
nr vt®aTrwamgl?tgatgtN3#tfhdHgt®m6©tfWI 6

A hollow sphere with inner and outer diameters of 4 cm and 8 cm respectively,
is melted to form a cone of diameter 8 cm. Find the height and the slant height
of the cone.
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a top. If the diameter of
ag A tent has a right circular cylindrical bottom and a conical
the base of the tent is 14 meters, the height of the cylindrical part is 5 meters,
and the total height of the tent is 14 meters, find the volume and curved surface
area of the tent.
438 (ISF) [3] [P.T.0.

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16. f:©ifafjgaaN®Nar fiawTttrw?t+wqrnrqr£aa2rr qn©fiEmivrn©tfal!: 6

Find the arithmetic mean and standard deviation from the following frequency
distribution table:
at 31HTm/Class Interval ,5-40 .5

1 5
8 r/ Frequency

mRI/ OR
250 faaTfiki WT mwh fBi wwiI + flew gI war wa a liTflnaT ma ©tfat!:
The following table gives the marks obtained by 250 students. Find their mode
and median:
nqlRfql dt dqga
Marks Scored Number of Students
IO+©q 15
less than 10
20 + ©q
ess than 20
30 + nq
less than 30
40 + nq
less than 40
50 + W
less than 50
60 + ©q
less than 60
70 + aq
less than 70
80 + ©q
less than 80
17. f:rn VN®Nar©Twit +3rmfta,aMFar qla®tMt8N®Nara©atfbt!: 6

Draw a histogram, frequency polygon and a cummulative frequency curve from
the following table:

alf 3inum/Class Interval roBI-a-a3
4 2
aTT©TItfT/Frequency

#####

438 (ISF) [4]

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