GoharLogicalMathModelPapers06

(Term -I) Model Paper - 1 A. (10) Time Allowed: 2:30 Hours Marks: 100 Find the numerical values and additive inverse of each of the following. (Any five). 1. 3 2. –8 3. 5 4. –9 5. –6 6. –2 B. Fill in the boxes. (Any five) (10) 1. (+3) + (–6) = 2. (+7) + (+3) = 3. (–6) + (–9) = 4. [(+5) + = (+7) 5. + (–5) = (–6) 6. 12,345 C. Simplify the following. (Any one) (10) 1. [(–13) – (–18)] – (–17) 2. [(–18) – (+12)] – (–19) D. Fill in the following boxes. (10) E. (10) Find four equivalent fractions of each of the following. (Any one) F. (10) G. (10) Simplify the following expression involving common fractions. 4 9 + 2 3 × 1 3 1. 12 3 2. –16 = –12 3. 5 = –4 4. 30 = –6 5. –8 = 9 1. 3 4 2. 1 8 4 9 2 ÷ 1 3 2 + 3 4 1 – 6 7 2 × 4 5 1 – 1 8 Solve: H. Find the product of the following. (10) I. (10) Prove and identify the property used in each of the following. (Any one) J. (10) 1. 2. Three families live together in a house. The daily use of milk of one family is litres and the other two families use litres and litres respectively. How much milk would a milkman supply them? 1. 2. 1 Model Paper

(Term -I) Model Paper - 2 A. (10) Time Allowed: 2:30 Hours Marks: 100 Find the quotient of the following. (Any two) 1. (–480) ÷ (–120) B. Write the numbers between: (10) 1. 2 and 6 2. –2 and 3 C. (10) The sum of two integers is –99. Find the other integer whereas one integer is –66. D. Simplify. (Any one) (10) 1. [(+2) × (+9)] × (–4) E. Reduce the following fractions into the lowest terms. (10) F. Solve: (Any one) (10) G. Prove and identify the property. (10) 4 9 2. (+196) ÷ (–28) 3. (–999) ÷ (+11) 2. [(–18) × (3)] × (2) 1. 672 896 2. 1320 1475 1. 100.014 – 1.34 × 0.025 ÷ 8.25 – 5.235 + 1.255 2 3 2 × 1 4 2 ÷ 1 8 1 + 1 4 2 – 2 3 – 1 1 2 2. 1 × 3 16 × 4 9 = 4 9 × 3 16 × 4 5 H. Find the product of the following. (10) I. (10) Nosheen bought 12 metres cloth from the market. She used half of cloth for her suit and rd of remaining for her daughter’s suit. How much cloth left now? J. Simplify the following expressions involving decimals. (10) 1. 2. 1. 2. 2 Model Paper

(Term -I) Model Paper - 3 A. (10) Time Allowed: 2:30 Hours Marks: 100 Solve each of the following and separate integers. (Any two) 1. (+65) ÷ (+5) 2. (–27) ÷ (–3) 3. (–126) ÷ (+14) B. Reduce the following fractions into lowest terms. (10) C. (10) Simplify the following expressions involving common fractions. D. (10) Prove and identify the property. E. (10) Ahmed required feet long cable wire for a connection . He joined two lengths of wires of feet and feet. Now how much length does he have more than the required length. F. Fill in the boxes with > or <. (10) 1. 1000 2700 2. 1550 3500 31 14 + 24 7 ÷ 8 × 9 2 – 39 21 2 5 2 × 1 2 1 – 1 3 1 = 2 5 2 × 1 2 1 × 2 5 2 × 1 3 1 1. 6 5 2. –6 –5 3. –2 0 4. 0 4 5. 8 –10 G. Find the product of the following. (10) 1. H. (10) The sum of two integers is –99. Find the other integer whereas one integer is –66. I. Solve the following. (10) 1. J. Solve. (10) 2. 2. 3 Model Paper

(Term -I) Model Paper - 4 A. (10) Time Allowed: 2:30 Hours Marks: 100 Fill in the boxes. 1. (+3) + (–6) = 2. (+7) + (+3) = B. Fill in the blanks. (Any five) (10) C. (10) Solve and separate integers. (Any one) 1. (–126) ÷ (+14) 2. (–17) ÷ (+34) D. Fill in the box. (10) E. (10) Find four equivalent fractions of . F. Write the following fractions in numerals. (10) G. Sadaf bought 2.25kg beef at the rate of Rs. 160kg, mutton (10) at the rate of Rs. 250kg and 2.35kg chicken at the rate of Rs. 128kg. What amount does she have now out of Rs. 1000? 3. (–6) + (–9) = 4. [(+3) + = (+7) 5. + (+3) = (–16) 1. (+2) – (___) = (–7) 2. (–8) – (___) = (–12) 3. (–11) – (–13) = (___) 4. (+16) – (___) = (+11) 5. (___) – (–3) = (+9) 6. (___) – (+13) = (–29) –16 2 = 2 × 8 10 1. two thirds 2. one fifith 3. four-ninths 4. three-eighths 5. five-ninths 1. 2. (–9) × = 81 H. Find the product of the following. (10) I. Solve. (10) J. (10) Prove and identify the property used in each of the following. (Any one). 1. 2. 1. 2. 4 Model Paper

(Term -II) Model Paper - 1 A. (10) Time Allowed: 2:30 Hours Marks: 100 Write and simplify the following ratios. B. Decrease 196 in the ratio of 5:7; what is the result? (10) C. Ajsheen left a property of worth Rs. 55000 and a debt of (10) Rs. 11,000. Distribute the heritage such as mother gets , father gets of heritage and husband gets remaining. Burial expenses were Rs. 2000. D. The rate for levelling a road is Rs. 50/m . Find: (10) E. Express the following in fractions and decimals. (10) F. Find the actual amount if 40% of the amount is 60 rupees. (10) G. A company increased the salaries of their workers by 10%. (10) 1. 12 is to 120 2. 25 is to 50 1. The cost of levelling a road of 80 m . 2. The cost of levelling a road of 425 m . 1. 45% 2. 6% 1. Find the original salary of Imran when his new salary is Rs. 2200. 2. Find the new salary of Waseem when his original salary was Rs. 2700. H. A road length in a model is 35cm, when the actual length of the (10) same road is 350m. Find the ratio of the model’s length to the actual length of the road. I. Solve. (10) 1. A farmer has 8 days’ food for 33cow. He bought 11 more cows. For how many days will the food be enough? 2. If 40 workers do a work in 35 days, in how many days will the same work be done by increasing 10 more workers? J. (10) Tanveer paid the income tax of Rs. 7,384 at the rate of 13%. What is the taxable annual income of Tanveer? 5 Model Paper

(Term -II) Model Paper - 2 A. (10) Time Allowed: 2:30 Hours Marks: 100 Husnain took 1% as the commission from both the parties and gave Rs. 574,200 to the land lord. B. (10) The cost price of 25 pairs of shoes is Rs. 190 each. Find the selling price of each of them, when the retailer has a total gain of Rs. 2,875. C. (10) The price of a calculator decreased from Rs. 720 to Rs. 600. Find the percentage decrease. D. (10) Shakeel had Rs. 7500. He paid a debt of Rs. 1500. Find the percentage of the remaining amount. E. Convert the following into percentages. (Any two) (10) 1. 1 2 2. 0.25 3. 7 2 F. Solve: (Any one) (10) G. A bike uses 12 litres petrol to travel 540 km. Then find; (10) H. Distribute the inheritance of Mrs. Sherazi between her (10) 4 daughters and 1 son of Rs. 59,000 when burial expenses were Rs. 2000. (Son gets twice of daughter). 1. Find the sale price of the land. 2. Find the amount paid by the buyer. 1. If 150 shirts can be stitched on 6 sewing machines in a day, how many machines are required to stitch 225 shirts in a day? 2. If 7 buffaloes give 56 litres milk, how much milk can we get from 12 buffaloes? 1. How far can a bike travel in 15 litres of petrol? 2. How much petrol is required to travel 810 km? I. (10) Farah paid the property tax of Rs. 9,240 at the rate of 3.5%. Find the worth of her property, whereas an amount of Rs. 60,000 is exempted from the tax. J. (10) Imran, Saeed and Ali invested Rs. 6000, Rs. 7,000 and Rs. 5,000 respectively in a business. Ali took Rs. 1000 for treatment of his wife in addition to his sharing profit. Find the share of each in profit of Rs. 5500. 6 Model Paper

(Term -II) Model Paper - 3 A. (10) Time Allowed: 2 Hours Marks: 100 Write and simplify the following ratios. (Any two) B. (10) 150ml of water contains oxygen of water and remaining is hydrogen. Find the ratio of hydrogen to oxygen in water. C. Solve: (Any one) (10) D. (10) E. (10) A farmer has 8 days’ food for 33 cows. He bought 11 more cows. For how many days will the food be enough? F. Convert the following into percentages. (10) 1. 10 3 G. Bano spends 70% of her pocket money and saves 30%. (10) Find the amounts she spends and saves, whereas she gets Rs. 1800 as the pocket money. H. Find the property tax on the property of Rs. 325,000 at the (10) rate of 2.8%, when an amount of Rs. 60,000 is exempted from the tax. 1. 12 is to 120 2. 25 is to 50 2. 80 is to 100 1. A 570 km long road has been constructed in the ratio of in three years respectively. How much road has been constructed in each year? 2. Distribute a profit of Rs. 12400 among four partners Faheem, Nadeem, Waseem and Zakir in the ratio of . Ajsheen left a property of worth Rs. 55000 and a debt of Rs. 11,000. Distribute the heritage such as mother gets , father gets of heritage and husband gets remaining. Burial expenses were Rs. 2000. 2. 9 20 3. 0.59 4. 3.8 I. (10) The price of a notebook increased from Rs. 12 to Rs. 15. Find the percentage increase. J. (10) Husnain took 1% as the commission from both the parties and gave Rs. 574,200 to the land lord. (i) Find the sale price of the land. (ii) Find the amount paid by the buyer. 7 Model Paper

(Term -II) Model Paper - 4 A. (10) Time Allowed: 2 Hours Marks: 100 Gul Khan purchased 180 chocolates for Rs. 2,160. He sold 155 chocolates at the rate of Rs. 15 each and 25 chocolates at the rate of Rs. 10. (10) Husnain took 1% as the commission from both the parties and gave Rs. 574,200 to the land lord. C. Solve: (Any one) (10) D. Find the number when it is decreased by 6% of 750. (10) E. Find the following percentages. (Any two) (10) F. Find mean proportional of 4 and 9. (10) G. (10) Ifra, Hina and Pinky, got marks in the ratio of 9:7:6. Find the marks of Hina and Pinky when Ifra got 81 marks. H. Find the value of P in each of the following. (Any two) (10) B. 1. Find that he is in profit or loss. 2. Find the percentage of the profit or loss. 1. Find the sale price of the land. 2. Find the amount paid by the buyer. 1. Find the property tax on the property of worth Rs. 248,000 at the rate of 4.5%. 2. Haris paid the property tax of Rs. 2,067 at the rate of 3.9%. Find the worth of property. 1. 8% of 50 2. 64% of 25 3. 75% of 4 1. 2 5 = P 20 2. P 5 = 3 10 3. 0.1 0.4 = 6 P I. (10) Every 3 persons are using tobacco out of 5 persons in Pakistan. What is the percentage of tobacco users? J. The rate for levelling a road is Rs. 50/m . Find: (10) (I) The cost of levelling a road of 80 m . (ii) The cost of levelling a road of 425 m . 8 Model Paper

(Term -III) Model Paper - 1 A. (10) Time Allowed: 2:30 Hours Marks: 100 A shopkeeper sold a toy for Rs. 96 at a loss of 20%. Find the loss. B. Write the following in the exponential form. (Any five) (10) 1. a . a . a 2. x . x C. Find the sum. (10) 2p + 3q , 3q + 3r , r + 3p D. Find A + B + C , when. (10) A = lm + mn, E. (10) What must be subtracted from: F. (10) Simplify the following. G. (10) Sabeena, bought a pen and a book for Rs. 45. The book was 8 times more expensive than the pen. What are the prices of the book and pen? H. Simplify. (10) 3. xy . xy 4. m . m . m . m 5. pq . pq . pq 6. abc . abc B = mn + nl, C = nl + lm p +p +p +p +1 to get p +1. 2lm (l m – n) [a + c + {a – c + (a + b + b – c)}] I. (10) 69 is the average of any 6 quantities. If 83, 76, 41, 52 and 66 are five quantities, then find the last quantity. J. Solve. (10) 9 Model Paper

(Term -III) Model Paper - 2 A. (10) Time Allowed: 2:30 Hours Marks: 100 Find the average from the following table. B. (10) Write the co-efficitent, base and exponents of the following. (Any five) C. Find A + B + C, when (10) D. What must be added to x + xy + y + 1 to get x + 3. (10) E. Simplify the following. (Any two) (10) F. Simplify the expression. (10) No. of shirts Price per shirt in Rs. 2 225 3 175 1 415 4 150 1. 2. 3. 4. 5. 1. 2. 3. 6. –2 5x G. The average of 61 toys is Rs. 15/toy. If it increases by adding (10) 1 more toy up to 15.5/toy. Then find the price of the new toy. H. If a = 3 , b = 2 and c = 1, then prove that. (10) I. Solve the following equations and verify the solution. (10) J. Simplify the following expression. (10) 1. 2. 10 Model Paper

(Term -III) Model Paper - 3 A. (10) Time Allowed: 2:30 Hours Marks: 100 Find the average from the following table. B. Solve: (Any one) (10) 1. The average of 61 toys is Rs. 15/toy. If it increases by adding 1 more toy up to 15.5/toy. Then find the price of the new toy. C. Find the sum of the given algebraic expressions. (10) 1. 2. D. Subtract 2a – 3a + 5a + 5 from 5a + a + 2a – 3. (10) E. (10) Multiply. 2ab × 3bc × 2ac F. Simplify. (Any one) (10) 1. G. Evaluate 2 – [2 – {2 – 2 – x)}] when x = 1. (10) 2. The average salary of 3 workers is Rs. 4800/worker. If it decreases by including two more workers up to Rs. 4500/worker. Find the salary of nd 2 worker when the first worker is taking Rs. 4100. 2. H. (10) I. (10) J. (10) Solve the following equations and verify the solution. Simplify the following expressions. (Any one) 1. 2. Write the following in the exponential form. 1. 2. 11 Model Paper

(Term -III) Model Paper - 4 A. (10) Time Allowed: 2:30 Hours Marks: 100 Find the average from the following table. B. Solve: (Any one) (10) 1. Iram bought 8 nail polishes for Rs. 392. Find the average price of a nail polish. C. Simplify. (10) 1. D. Find the sum of the following algebraic expressions. (10) 1. E. Subtract 3x – 4x + 8x – 6 from 8x + 5x – 3x + 4x + 2. (10) F. Multiply the following. (10) G. (10) Replace the unknowns by the numbers to make the statement true. (Any five) 1. H. Evaluate the following when a = 2, b = 1 and c = 1. (10) 2. Kiran bought 1kg of 6 different vegetables at the rate of Rs. 18/kg, Rs. 20/kg Rs. 32/kg, Rs. 45/kg Rs. 8/kg, and Rs. 15/kg. Find the average price of the vegetables. 2. 2. 3. 4. 5. ab – bc + ac 6. I. Write the following in the exponential form. (10) xy . xy J. Simplify the following expressions. (10) 1. 2. m . m . m . m 1. 2. 12 Model Paper

(Term -IV) Model Paper - 1 A. (10) Time Allowed: 2:30 Hours Marks: 100 Measure the following angles by using a protractor. B. Construct the following triangles. (10) 1. DE = 8 cm EF = 9 cm DF = 7 cm 1. 2. 3. 4. 5. C. Draw a perpendicular LM on the given line segment. (10) 1. D. Find the area of the following borders. (Any one) (10) 1. 2. 13 Model Paper

E. A container is 40m long, 15m wide and 20m high. Find the (10) capacity of container. F. (10) A company sold fans during 5years as given in the following line graph. Now read the graph and answer the questions. G. (10) Mota Bhai eats breads in a day as given in the following table. H. Draw the following triangles with suitable measurements. (10) I. (10) A carpenter made a box 2 metre long, 1.5 wide and 1 metre high. Find the cost of the board using for the box at the rate of Rs. 50/m . J. (10) Find the base of a parallelogram when its height is 16m and area is 560m . 1. 2. 14 Model Paper

(Term -IV) Model Paper - 2 A. (10) Time Allowed: 2:30 Hours Marks: 100 If the following are supplementary angles, then write the degree measure of the second angle. (Any one) 1. B. Construct the following triangle. (10) 1. C. Draw and bisect the angle of 118 . (10) D. Solve: (Any one) (10) 1. E. (10) A water tank is 3 m long, 2 m wide and 1m high. How many litres of the water can be stored in it? F. (10) A company sold fans during 5years as given in the following line graph. Now read the graph and answer the questions. G. (10) The following pie graph is showing the result of a class of 120 students. 179 2. 30 XY = 4.5 cm YZ = 5.5 cm ZX = 8 cm Find the area of a parallelogram whose base is 75m and height is 50 m. 2. Find the height of a parallelogram whose base is 27 m and are is 405 m . H. Construct the RST, when (10) I. (10) The following pie graph is showing the result of a class of 120 students. J. Draw the following isosceles triangles. (Any one) (10) 1. 2. 15 Model Paper

(Term -III) Model Paper - 3 A. (10) Time Allowed: 2:30 Hours Marks: 100 If the following are complementary angles, then write the degree measure of the second angle. (Any one) 1. B. Construct the following triangle. (10) C. Draw and bisect the angle of 150 . (10) D. Solve: (Any one) (10) E. How many cubes of 1cm we can cut from a cuboid of the (10) dimension of 10cm × 12cm × 15cm? F. Read the following bar graph which is showing the daily (10) pocket money of some children and answer the questions. G. (10) A jungle has the following types of monkeys as given in the table. 10 2. 75 1. DE = 8cm EF = 9cm DF = 7cm 1. Find the base of a parallelogram when its height is 16m and area is 560m . 2. Find the cost of levelling a plot of 200m length and 140m breadth at the rate of Rs. 4.50/m and also find the cost of fencing the plot at the rate of Rs. 90/m . H. Read the following bar graph which is showing the daily (10) pocket money of some children and answer the questions. I. Read the following bar graph which is showing the daily (10) pocket money of some children and answer the questions. J. Read the following bar graph which is showing the daily (10) pocket money of some children and answer the questions. 16 Model Paper

(Term -IV) Model Paper - 4 A. (10) Time Allowed: 2:30 Hours Marks: 100 If the following are complementary angles, then write the degree measure of the second angle. (Any one) 1. B. Construct the ABC, when. (10) C. Draw and bisect the 48 . (10) D. Solve: (Any one) (10) E. (10) Find the internal surface area of a room whose dimensions are 4m × 2.5 m × 6m. F. (10) Draw a bar graph and a line graph by using the following data. G. (10) A jungle has the following types of monkeys as given in the table. 45 2. 1 1. Find the area and perimeter of a rectangular pool whose length is 17m and breadth is 9m. 2. Find the length of a rectangular hall when its breadth is 12m and the area of the hall is 216m . H. Construct the following right angled triangles. (10) I. (10) Construct the following triangles by using a protractor, a pair of compasses and a ruler. (Any one) J. Construct the following angles by using a protractor. (10) 1. 2. 1. 2. 17 Model Paper