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A · answer 10 of 12 · 2 marks each · about 30 words20

B · answer 5 of 7 · 5 marks each · about 200 words25

C · answer 3 of 5 · 10 marks each · about 500 words30

External total75

Usual 75-mark UG pattern (10 × 2, 5 × 5, 3 × 10). Confirm against your own college's question paper.

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Section A · 2 marks · define or list

Find the unit digit of 7^95.Unit I The HCF of two numbers is 12 and their LCM is 360. If one number is 72, find the other.Unit I Express 0.363636… as a fraction in its lowest terms.Unit I Find the value of 64^(2/3).Unit I Find the average of the first 20 natural numbers.Unit I What per cent of 2 kg is 250 g?Unit I Find the value of log₃ 243.Unit II A pressure cooker bought for ₹1,600 is sold for ₹1,840. Find the profit per cent.Unit II At what rate of simple interest will a sum double itself in 8 years?Unit II Convert 90 km/h into metres per second.Unit II A can do a piece of work in 10 days and B in 15 days. In how many days can they finish it together?Unit II Find the mean proportional between 9 and 16.Unit II Complete the analogy: Iodine : Goitre :: Vitamin C : ?Unit III Pointing to a boy, Kavya says, 'His mother is the only daughter of my mother.' How is the boy related to Kavya?Unit III Find the next term: 2, 6, 12, 20, 30, ?Unit III If DOG is coded as EPH, how is CAT coded?Unit III Is 1900 a leap year? Give a reason.Unit III Draw a Venn diagram to show the relationship between Fruit, Mango and Iron.Unit III

Section B · 5 marks · explain

State the divisibility rules for 3, 4, 8, 9 and 11 with one example each.Unit I Find the least number which, when divided by 12, 15 and 20, leaves a remainder of 5 in each case.Unit I Find the square root of 7,056 and the cube root of 17,576 by prime factorisation.Unit I The average age of 30 students is 15 years. When the teacher's age is included, the average rises by 1 year. Find the teacher's age.Unit I The price of sugar rises by 25%. By what percentage must a family reduce its consumption so that its expenditure does not change?Unit I State and explain the laws of logarithms with examples.Unit II By selling a mixer-grinder for ₹2,340, a shopkeeper loses 10%. At what price should he sell it to gain 15%?Unit II Find the compound interest on ₹15,000 for 2 years at 10% per annum compounded yearly, and its difference from the simple interest.Unit II A train 240 m long runs at 72 km/h. How long will it take to cross a platform 160 m long?Unit II If A : B = 2 : 3 and B : C = 4 : 5, find A : B : C and divide ₹7,000 in that ratio.Unit II Explain the types of analogy with two examples each.Unit III Explain the family-tree method of solving blood-relation problems with an example.Unit III In a code, PLATE is written as FUBMQ. How is SPOON written? Explain the rule.Unit III Find the angle between the hands of a clock at 4:20, and the time between 3 and 4 o'clock when the hands are together.Unit III In a hostel of 120 students, 70 drink tea, 55 drink coffee and 25 drink both. How many drink neither, and how many drink only one?Unit III

Section C · 10 marks · describe with diagram

Classify numbers with suitable examples, and explain the divisibility rules that help in quick calculation.Unit I Simplify: (a) 48 ÷ 4 of 3 + 18 − [6 + {12 − (9 − 5)}]; (b) express 0.74545… as a fraction; (c) find the approximate value of 24.97 × 16.02 + 299.89 ÷ 5.98.Unit I (a) The present ages of a mother and her daughter are in the ratio 7 : 2; after 5 years the ratio will be 8 : 3. Find their present ages. (b) The sum of the ages of a father and his son is 60 years; six years ago the father was five times as old as the son. Find their present ages.Unit I (a) A price rises by 20% and then falls by 10%; find the net change. (b) A student needs 35% to pass, scores 210 and fails by 14 marks; find the maximum marks. (c) A town of 20,000 people grows by 10% a year; find its population after 2 years.Unit I (a) A trader buys 40 kg of onions at ₹25 a kg, spends ₹100 on transport and sells them at ₹30 a kg; find his profit per cent. (b) Goods marked 40% above a cost price of ₹2,000 are sold at a 15% discount; find the selling price and profit per cent. (c) Two fans are sold at ₹1,200 each, one at 20% profit and the other at 20% loss; find the overall result.Unit II (a) Find the simple interest on ₹12,000 at 9% for 2½ years. (b) Find the compound interest on ₹8,000 for 1 year at 10% per annum compounded half-yearly. (c) The difference between CI and SI on a sum for 2 years at 8% is ₹96; find the sum.Unit II (a) Find the average speed for a round trip at 60 km/h and 40 km/h. (b) Two trains of 150 m and 100 m run at 54 km/h and 36 km/h; find the time to cross in opposite and in the same direction. (c) At 5 km/h a student is 6 minutes late and at 6 km/h she is 4 minutes early; find the distance.Unit II (a) A takes 12 days and B 18 days; find their time together. (b) A takes 20 days and B 30 days; they work together for 6 days and A leaves; find B's remaining time. (c) Two pipes fill a tank in 10 and 15 hours and a leak empties it in 30 hours; find the filling time.Unit II What is coding-decoding? Explain its types with suitable examples.Unit III What are odd days? Explain the method of finding the day of the week, and find the day on 15 August 1947.Unit III Explain number and letter series with their types and examples.Unit III Explain Venn diagrams and the types of relationships they show. In a survey of 60 students, 30 like idli, 25 dosa and 20 pongal; 10 like idli and dosa, 8 dosa and pongal, 6 idli and pongal, and 3 all three. How many like none?Unit III

Answer frames

How to lay out a long answer, with a write-up check. 8 frames so far.

10-MARK ANSWER FRAME · UNIT IClassify numbers with suitable examples, and explain the divisibility rules that help in quick calculation.5-MARK ANSWER FRAME · UNIT IIState and explain the laws of logarithms with examples.10-MARK ANSWER FRAME · UNIT IIIWhat is an analogy? Explain the types of analogy with examples and the method of solving them.10-MARK ANSWER FRAME · UNIT IIIExplain the method of solving blood-relation problems with suitable examples.10-MARK ANSWER FRAME · UNIT IIIExplain number and letter series with their types and the method of solving, with examples.10-MARK ANSWER FRAME · UNIT IIIWhat is coding-decoding? Explain the different types with examples and the method of solving.10-MARK ANSWER FRAME · UNIT IIIWhat are odd days? Explain how to find the day of the week for a given date, with an example.10-MARK ANSWER FRAME · UNIT IIIWhat is a Venn diagram? Explain the types of relationships it shows, with examples, and solve a survey problem.