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Year 7 - Written CalculationsExercise 1Calculate:3.4×54.56×0.20.04×0.00348-13.635.48-1.58442.7×0.5611.3-7.44445.1×0.0043[JMC 2007 Q1] What is the value of 0.1+0.2+0.3×0.4? [Kangaroo Pink 2012 Q1] What is the value of 11.11-1.111? [JMC 2001 Q8] What is the difference between the largest and smallest of the following numbers?A 0.89 B 0.9 C 0.17 D 0.72 E 0.73[IMC 2015 Q1] What is the value of 1-0.2+0.03-0.004? [IMC 2002 Q2] Which of the following has the greatest value?A 0.3×7B 0.5×5C 0.2×11D 0.09×30E 0.026×100[IMC 2003 Q5] What is the value of 20032?[JMC 2012 Q11] In the following expression, each □ is to be replaced with either + or – in such a way that the result of the calculation is 100.123 □ 45 □ 67 □ 89The number of + signs used is p and the number of – signs used is m. What is the value of p-m?[JMC 1997 Q10] Each day throughout July 1995 I picked 300g of raspberries from my garden. What was the total weight of the raspberries I picked that month?A 10g B 9kg C 9.3kg D 10kg E 9300kg[JMC 1998 Q7] The Mystery Prize at the Bank of England Christmas Party was a pile of crisp new ?5 notes, numbered from 659384 up to 659500. What was the value of the prize?A ?116 B ?117C ?580D ?585 E ?1420 [JMC 2000 Q10] Each Junior Mathematical Challenge answer sheet weighs 6 grams. If 140000 pupils enter the challenge this year, what will be the total weight of all their answer sheets?A 84kg B 840kgC 8 400kgD 84 000kgE 840 000kg[JMC 2000 Q14] The DISPUTOR is similar to a calculator, but it behaves a little oddly. When you type in a number, the DISPUTOR doubles the number, then reverses the digits of this result, then adds 2 and displays the final result. I type in a whole number between 10 and 99 inclusive. Which of the following could be the final result displayed?A 39B 41C 42D 43E 45[Kangaroo Grey 2014 Q6] Which of the following calculations gives the largest result?A 44×777????B 55×666C 77×444????D 88×333E 99×222 [JMC 1999 Q21] Granny says “I am 84 years old – not counting my Sundays”. How old is she really?A 90B 91C 96D 98E 99[JMC 1997 Q22] The Grand Old Duke of York, he had ten thousand men, he marched them up to the top of the hill, … By 2pm they were one third of the way up. By 4pm they were three quarters of the way up. When did they set out?A 12 noonB 12.24pmC 1.12pm D 1.36pm E 1.48pm[TMC Final 2014 Q7] Place exactly three common mathematical operations (which need not all be different) between the digits below so that the result equals 100. You are not allowed to rearrange the order of the digits.1 2 3 4 5 6 7 8 9For example, 1234 × 5 ? 67 × 89. We know this example is wrong because the result is 207 [JMO 1999 A7] Before the decimalisation of money in the UK, there were 12 pence (d) in 1 shilling (s) and 20 shillings in 1 pound (?). Thus 1 pound 3 shillings and 4 pence was written ?1 3s 4d. What would have been the total cost of 7 items each costing ?1 6s 8d? Write your answer in simplest ? s d form.[JMC 2003 Q22] Two builders, Bob and Geri, buy bricks at the same price. Bob sells 10 for ?6 and Geri sells 12 for ?7. Supposing they sell equal numbers of bricks, what number has each sold when Bob has gained ?4 more than Geri?A 42B 60C 72D 120E 240Missing Digit PuzzlesQuestion 1699770100965000[JMC 2014 Q12] In this subtraction, P, Q, R, S and T represent single digits.What is the value of P+Q+R+S+T?A 30B 29C 28D 27E 26 Question 6101854083820000[Junior Kangaroo 2015 Q12] In the sum shown, different shapes represent different digits. What digit does the square represent?A 2B 4C 6D 8E 9183134013398500Question 2[JMC 2003 Q16] In this multiplication each letter stands for a different digit. Which letters stands for 3?ABCDEQuestion 7573405010160[JMC 2002 Q24] In the multiplication on the right, each letter represents a different digit and only the digits 1, 2, 3, 4, 5 are used. Which of the letters represents 2?ABCDEQuestion 321780502603500[JMC 2005 Q18] In the subtraction sum on the right a, b and c are digits, and a is less than b. What is the value of c?A 3 B 4 C 5D 6E a number greater than 6Question 871374061214000[JMC 2010 Q25] What is the value of P+Q+R in the multiplication on the right?A 13B 12C 11 D 10E 9Question 4[TMC Regional 2011 Q10] J6K4×7=L9M98Each of J, K, L and M is a different digit.Find the values of J, K, L and M.194945021844000Question 9[JMC 1999 Q25] The two-digit by two-digit multiplication on the right has lots of gaps, but most of them can be filled in by logic (not by guesswork). Which digit must go in position * ?A 1B 3C 5D 7E 9Question 5[TMC Final 2010 Q3] Each of the letters used below is standing for a different single digit.Example: AB+2=AC [the answer could be A=1, B=3, C=5 because 13+2=15]If ABCD×9=DCBAfind A, B, C and D.Question 10[JMO 2000 B4] How many different solutions are there to the letter sum on the right? Different letters stand for different digits, and no number begins with a zero. J M C+ J M OS U M S ................
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