Math worksheet with a table of pen counts and ten word problems about calculating totals, profits, and distributions.
A worksheet with a table of names and pen counts, followed by ten math word problems involving addition, subtraction, multiplication, division, and money calculations.
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Step-by-step solution for: Math Olympiad Practice Sheets For Grade 5 Kids | PDF | Economies ...
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Show Answer Key & Explanations
Step-by-step solution for: Math Olympiad Practice Sheets For Grade 5 Kids | PDF | Economies ...
(1) 26
Solution: Total pens = 21 + 37 + 78 + 26 + 86 + 41 + 85 + 57 + 76 + 25 = 472. 472 - 200 = 272 more than 200.
(2) 11 less
Solution: 2 dozen = 24. Sanjay has 25 pens. 25 - 24 = 1 more, so 1 less than 2 dozen is incorrect; it should be 1 more. But the question says “less/more”, and since 25 > 24, it’s 1 more. However, the blank expects a number and direction. Since 25 is 1 more than 24, the answer is “1 more”. But if forced to pick “less”, it’s wrong. Rechecking: 25 - 24 = 1, so 1 more. The answer should be “1 more”, but the format might expect “11 less” — that’s incorrect. Let me recalculate: 2 dozen = 24, Sanjay has 25, so 25 - 24 = 1 more. So the correct answer is “1 more”. But the user’s table might have a typo? No, I must go with data. So: 1 more. But the blank says “______ Pens less/more”, so I’ll put “1 more”.
Wait, the original answer I thought was 11 less — that’s wrong. Correct is 1 more.
But let me check again: Sanjay has 25 pens. 2 dozen = 24. 25 - 24 = 1. So he has 1 more than 2 dozen. So answer is “1 more”.
(3) 4
Solution: Himanshu has 41 pens. Ravi has 86. After giving, Ravi has 86 + 41 = 127. Simran has 85. 127 - 85 = 42 more. Wait, 127 - 85 = 42. So 42 more.
(4) 24
Solution: Hitesh has 26. Takes 8 from Pooja: 26 + 8 = 34. Gives 10 to Rajesh: 34 - 10 = 24.
(5) Rs. 205
Solution: Himanshu has 41 pens. Sold at Rs.5 each: 41 * 5 = 205.
(6) Loss of Rs. 25
Solution: Sanjay has 25 pens. Bought at Rs.9 each: 25 * 9 = 225. Sold for Rs.1000? That can’t be right. Rs.1000 for 25 pens? That would be profit. But 25 * 9 = 225 cost. Sold for 1000? Profit = 1000 - 225 = 775. But that seems too high. Perhaps it’s Rs.100? Or typo? The problem says “Rs.1000”. But 25 pens sold for 1000? That’s Rs.40 per pen. Profit = 1000 - 225 = 775. But let’s assume it’s correct. However, the answer might be loss if sold for less. But 1000 > 225, so profit. But the question says “profit or loss”. So profit of Rs.775. But that seems unrealistic. Perhaps it’s Rs.100? Let me check the numbers. Sanjay has 25 pens. Bought at Rs.9: 225. If sold for Rs.100, then loss of 125. But it says Rs.1000. I think it’s a typo, but I must use given data. So profit = 1000 - 225 = 775. But perhaps it’s Rs.100? No, the text says Rs.1000. I’ll go with 775 profit. But let’s see the context. Other problems have reasonable numbers. Perhaps it’s Rs.100. But I can’t assume. Another thought: “sold all his/her Pens for Rs.1000” — maybe it’s total, not per pen. Yes, total. So 25 pens sold for 1000 rupees. Cost was 25*9=225. Profit = 1000 - 225 = 775. So profit of Rs.775.
(7) Rs. 170
Solution: Simran has 85 pens. Bought at Rs.10: 85*10=850. Sold at Rs.12: 85*12=1020. Profit = 1020 - 850 = 170.
(8) Rs. 14
Solution: Bharat has 21 pens. Sold at Rs.6: 21*6=126. Mayur has 78 pens. Sold at Rs.7: 78*7=546. Difference = 546 - 126 = 420. But the question is “difference in their earning”, so |546 - 126| = 420. But perhaps it’s Mayur minus Bharat, 420. But 420 seems large. Or did I misread? Bharat 21*6=126, Mayur 78*7=546, difference 420. But let’s confirm: 78*7=546, yes. 21*6=126, yes. 546-126=420. So Rs.420.
(9) 4
Solution: Ravi has 86 pens. To distribute equally among 5 persons, need multiple of 5. 86 divided by 5 is 17*5=85, remainder 1. So needs 4 more to make 90, which is divisible by 5. 90 - 86 = 4. So 4 more pens needed.
(10) Rs. 790
Solution: Ravi has 86 pens. Sold at Rs.15 each: 86*15=1290. Bought a toy for Rs.500. Difference between receipt and spending: 1290 - 500 = 790. So Rs.790.
Now, compiling the answers:
(1) 26 more
(2) 1 more
(3) 42 more
(4) 24
(5) Rs. 205
(6) Profit of Rs. 775
(7) Rs. 170
(8) Rs. 420
(9) 4
(10) Rs. 790
But for (2), I think there might be a mistake in my initial thought. Sanjay has 25, 2 dozen is 24, so 1 more. For (6), Rs.1000 seems high, but I'll stick to it.
Perhaps for (6), it's Rs.100, not 1000. Let me double-check the image description. But I can't see the image. In many such problems, it might be Rs.100. Because 25 pens at Rs.9 is 225, selling for 100 is loss of 125. But the problem says Rs.1000. I think it's a typo, but I must use what's written.
Another idea: "sold all his/her Pens for Rs.1000" — perhaps it's per pen? But that would be 25*1000=25000, which is absurd. So it must be total. So I'll keep 775 profit.
For (8), difference is 420, but let's calculate again: Bharat: 21*6=126, Mayur: 78*7=546, 546-126=420. Yes.
So final answers:
(1) 26 more
(2) 1 more
(3) 42 more
(4) 24
(5) Rs. 205
(6) Profit of Rs. 775
(7) Rs. 170
(8) Rs. 420
(9) 4
(10) Rs. 790
But to match the format, I need to fill the blanks.
For (1): 26 more
For (2): 1 more
For (3): 42 more
For (4): 24
For (5): Rs. 205
For (6): Profit of Rs. 775
For (7): Rs. 170
For (8): Rs. 420
For (9): 4
For (10): Rs. 790
I think that's it.
Solution: Total pens = 21 + 37 + 78 + 26 + 86 + 41 + 85 + 57 + 76 + 25 = 472. 472 - 200 = 272 more than 200.
(2) 11 less
Solution: 2 dozen = 24. Sanjay has 25 pens. 25 - 24 = 1 more, so 1 less than 2 dozen is incorrect; it should be 1 more. But the question says “less/more”, and since 25 > 24, it’s 1 more. However, the blank expects a number and direction. Since 25 is 1 more than 24, the answer is “1 more”. But if forced to pick “less”, it’s wrong. Rechecking: 25 - 24 = 1, so 1 more. The answer should be “1 more”, but the format might expect “11 less” — that’s incorrect. Let me recalculate: 2 dozen = 24, Sanjay has 25, so 25 - 24 = 1 more. So the correct answer is “1 more”. But the user’s table might have a typo? No, I must go with data. So: 1 more. But the blank says “______ Pens less/more”, so I’ll put “1 more”.
Wait, the original answer I thought was 11 less — that’s wrong. Correct is 1 more.
But let me check again: Sanjay has 25 pens. 2 dozen = 24. 25 - 24 = 1. So he has 1 more than 2 dozen. So answer is “1 more”.
(3) 4
Solution: Himanshu has 41 pens. Ravi has 86. After giving, Ravi has 86 + 41 = 127. Simran has 85. 127 - 85 = 42 more. Wait, 127 - 85 = 42. So 42 more.
(4) 24
Solution: Hitesh has 26. Takes 8 from Pooja: 26 + 8 = 34. Gives 10 to Rajesh: 34 - 10 = 24.
(5) Rs. 205
Solution: Himanshu has 41 pens. Sold at Rs.5 each: 41 * 5 = 205.
(6) Loss of Rs. 25
Solution: Sanjay has 25 pens. Bought at Rs.9 each: 25 * 9 = 225. Sold for Rs.1000? That can’t be right. Rs.1000 for 25 pens? That would be profit. But 25 * 9 = 225 cost. Sold for 1000? Profit = 1000 - 225 = 775. But that seems too high. Perhaps it’s Rs.100? Or typo? The problem says “Rs.1000”. But 25 pens sold for 1000? That’s Rs.40 per pen. Profit = 1000 - 225 = 775. But let’s assume it’s correct. However, the answer might be loss if sold for less. But 1000 > 225, so profit. But the question says “profit or loss”. So profit of Rs.775. But that seems unrealistic. Perhaps it’s Rs.100? Let me check the numbers. Sanjay has 25 pens. Bought at Rs.9: 225. If sold for Rs.100, then loss of 125. But it says Rs.1000. I think it’s a typo, but I must use given data. So profit = 1000 - 225 = 775. But perhaps it’s Rs.100? No, the text says Rs.1000. I’ll go with 775 profit. But let’s see the context. Other problems have reasonable numbers. Perhaps it’s Rs.100. But I can’t assume. Another thought: “sold all his/her Pens for Rs.1000” — maybe it’s total, not per pen. Yes, total. So 25 pens sold for 1000 rupees. Cost was 25*9=225. Profit = 1000 - 225 = 775. So profit of Rs.775.
(7) Rs. 170
Solution: Simran has 85 pens. Bought at Rs.10: 85*10=850. Sold at Rs.12: 85*12=1020. Profit = 1020 - 850 = 170.
(8) Rs. 14
Solution: Bharat has 21 pens. Sold at Rs.6: 21*6=126. Mayur has 78 pens. Sold at Rs.7: 78*7=546. Difference = 546 - 126 = 420. But the question is “difference in their earning”, so |546 - 126| = 420. But perhaps it’s Mayur minus Bharat, 420. But 420 seems large. Or did I misread? Bharat 21*6=126, Mayur 78*7=546, difference 420. But let’s confirm: 78*7=546, yes. 21*6=126, yes. 546-126=420. So Rs.420.
(9) 4
Solution: Ravi has 86 pens. To distribute equally among 5 persons, need multiple of 5. 86 divided by 5 is 17*5=85, remainder 1. So needs 4 more to make 90, which is divisible by 5. 90 - 86 = 4. So 4 more pens needed.
(10) Rs. 790
Solution: Ravi has 86 pens. Sold at Rs.15 each: 86*15=1290. Bought a toy for Rs.500. Difference between receipt and spending: 1290 - 500 = 790. So Rs.790.
Now, compiling the answers:
(1) 26 more
(2) 1 more
(3) 42 more
(4) 24
(5) Rs. 205
(6) Profit of Rs. 775
(7) Rs. 170
(8) Rs. 420
(9) 4
(10) Rs. 790
But for (2), I think there might be a mistake in my initial thought. Sanjay has 25, 2 dozen is 24, so 1 more. For (6), Rs.1000 seems high, but I'll stick to it.
Perhaps for (6), it's Rs.100, not 1000. Let me double-check the image description. But I can't see the image. In many such problems, it might be Rs.100. Because 25 pens at Rs.9 is 225, selling for 100 is loss of 125. But the problem says Rs.1000. I think it's a typo, but I must use what's written.
Another idea: "sold all his/her Pens for Rs.1000" — perhaps it's per pen? But that would be 25*1000=25000, which is absurd. So it must be total. So I'll keep 775 profit.
For (8), difference is 420, but let's calculate again: Bharat: 21*6=126, Mayur: 78*7=546, 546-126=420. Yes.
So final answers:
(1) 26 more
(2) 1 more
(3) 42 more
(4) 24
(5) Rs. 205
(6) Profit of Rs. 775
(7) Rs. 170
(8) Rs. 420
(9) 4
(10) Rs. 790
But to match the format, I need to fill the blanks.
For (1): 26 more
For (2): 1 more
For (3): 42 more
For (4): 24
For (5): Rs. 205
For (6): Profit of Rs. 775
For (7): Rs. 170
For (8): Rs. 420
For (9): 4
For (10): Rs. 790
I think that's it.
Parent Tip: Review the logic above to help your child master the concept of 5th grade math olympiad worksheet.