Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Swathi bought boxes of thank you cards and get well cards. The thank you cards came in boxes of 2and the get well cards came in boxes of 7. Swathi bought 9 boxes and got a total of 42 cards. How many boxes of each type of card did he buy boxes of thank you cards boxes of get well cards Answer:_______________ |
| 2) The hardware store sells orange buckets, which hold 7 litres of water, and teal buckets, which hold 1 litre. Nate bought 5 buckets. His buckets will hold 17 litres in total. How many of each type of bucket did Nate buy orange buckets nate buckets Answer:_______________ |
| 3) A restaurant owner washed 25 kilograms of vegetables, some carrots and some peas. The carrots came in 4-kilogram bags and the peas came in 5-kilogram bags. The owner washed 6 bags of vegetables in all. How many bags of each kind did he wash bags of carrots bags of peas Answer:_______________ |
| 4) Kumar has 5 vases of flowers. Some of the vases contain 4 irises. The other vases contain 8 morning glories. There are 24 flowers in the vases in total. How many vases of each type of flower does Kumar have vases of irises veses of morning glories Answer:_______________ |
| 5) Kalai has 8 bags of coins. Some of the bags contain 5 gold coins, and the rest contain 7 silver coins. If Kalai has 46 coins in all, how many bags of each type of coin does Kalai have
Answer:_______________ |
| 6) A gym owner has some red weights and some purple weights. The red weights are 3 kilograms each, and the purple weights are 7 kilograms each. The owner has 8 weights, and they weigh 44 kilograms in all. How many of each colour weight does he have red weights purple weights Answer:_______________ |
| 7) My dad has 4 oak and maple boards from the lumber yard. Each oak board is 8 centimetres thick. Each maple board is 1 centimetre thick. When my dad stacks the boards, the stack is 25 centimetres thick. How many of each type of board does he have oak boards maple boards Answer:_______________ |
| 8) Pugal made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 9 pans. Each batch of peanut butter brownies makes 8 pans. Pugal made 6 batches and ended up with 49 pans of brownies. How many batches of each type of brownie did he make
Answer:_______________ |
| 9) A team from the college went on a science-and-maths quiz show. The science questions were worth 8 points and the maths questions were worth 6 points. The team answered a total of 7 questions and earned 50 points. How many questions did the team answer in each category science questions maths questions Answer:_______________ |
| 10) Sriram bought 7 bags of apples. The red apples came in bags of 2 and the green apples came in bags of 8. Sriram bought a total of 26 apples. How many bags of each type of apple did he buy bag of red apple bag of green apple Answer:_______________ |
| 1) Swathi bought boxes of thank you cards and get well cards. The thank you cards came in boxes of 2and the get well cards came in boxes of 7. Swathi bought 9 boxes and got a total of 42 cards. How many boxes of each type of card did he buy Answer: 4 boxes of thank you cards Answer: 5 boxes of get well cards SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 9 Guess #1: 7 boxes of thank you cards and 2 boxes of get well cards Find the number of boxes: 7 + 2 = 9
(3 × 7) + (6 × 2) = 21 + 12 = 33
Find the number of boxes: 8 + 1 = 9
(3 × 8) + (6 × 1) = 24 + 6 = 30
Find the number of boxes: 4 + 5 = 9
(3 × 4) + (6 × 5) = 12 + 30 = 42
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| 2) The hardware store sells orange buckets, which hold 7 litres of water, and teal buckets, which hold 1 litre. Nate bought 5 buckets. His buckets will hold 17 litres in total. How many of each type of bucket did Nate buy Answer: 2 orange buckets Answer: 3 nate buckets SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 5. Guess #1: 3 orange buckets and 2 teal buckets Find the number of buckets: 3 + 2 = 5
(7 × 3) + 2 = 21 + 2 = 23
Find the number of buckets: 4 + 1 = 5
(7 × 4) + 1 = 28 + 1 = 29
Find the number of buckets: 2 + 3 = 5
(7 × 2) + 3 = 14 + 3 = 17
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| 3) A restaurant owner washed 25 kilograms of vegetables, some carrots and some peas. The carrots came in 4-kilogram bags and the peas came in 5-kilogram bags. The owner washed 6 bags of vegetables in all. How many bags of each kind did he wash Answer: 5 bags of carrots Answer: 1 bags of peas SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 6. Guess #1: 4 bags of carrots and 2 bags of peas Find the number of bags: 4 + 2 = 6
(4 × 4) + (5 × 2) = 16 + 10 = 26
Find the number of bags: 2 + 4 = 6
(4 × 2) + (5 × 4) = 8 + 20 = 28
Find the number of bags: 5 + 1 = 6
(4 × 5) + (5 × 1) = 20 + 5 = 25
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| 4) Kumar has 5 vases of flowers. Some of the vases contain 4 irises. The other vases contain 8 morning glories. There are 24 flowers in the vases in total. How many vases of each type of flower does Kumar have Answer: 4 vases of irises Answer: 1 veses of morning glories SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 5. Guess #1: 2 vases of irises and 3 vases of morning glories Find the number of vases: 2 + 3 = 5
(4 × 2) + (8 × 3) = 8 + 24 = 32
Find the number of vases: 3 + 2 = 5
(4 × 3) + (8 × 2) = 12 + 16 = 28
Find the number of vases: 4 + 1 = 5
(4 × 4) + (8 × 1) = 16 + 8 = 24
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| 5) Kalai has 8 bags of coins. Some of the bags contain 5 gold coins, and the rest contain 7 silver coins. If Kalai has 46 coins in all, how many bags of each type of coin does Kalai have Answer: 5 Answer: 3 SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 8. Guess #1: 1 bag of gold coins and 7 bags of silver coins Find the number of bags of coins: 1 + 7 = 8
(5 × 1) + (7 × 7) = 5 + 49 = 54
Find the number of bags of coins: 4 + 4 = 8
(5 × 4) + (7 × 4) = 20 + 28 = 48
Find the number of bags of coins: 5 + 3 = 8
(5 × 5) + (7 × 3) = 25 + 21 = 46 The guess is correct. Kalai has 5 bags of gold coins and 3 bags of silver coins. |
| 6) A gym owner has some red weights and some purple weights. The red weights are 3 kilograms each, and the purple weights are 7 kilograms each. The owner has 8 weights, and they weigh 44 kilograms in all. How many of each colour weight does he have Answer: 3 red weights Answer: 5 purple weights SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 8. Guess #1: 1 red weight and 7 purple weights Find the number of weights: 1 + 7 = 8
(3 × 1) + (7 × 7) = 3 + 49 = 52
Find the number of weights: 2 + 6 = 8
(3 × 2) + (7 × 6) = 6 + 42 = 48
Find the number of weights: 3 + 5 = 8
(3 × 3) + (7 × 5) = 9 + 35 = 44
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| 7) My dad has 4 oak and maple boards from the lumber yard. Each oak board is 8 centimetres thick. Each maple board is 1 centimetre thick. When my dad stacks the boards, the stack is 25 centimetres thick. How many of each type of board does he have Answer: 3 oak boards Answer: 1 maple boards SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 4. Guess #1: 1 oak board and 3 maple boards Find the number of boards: 1 + 3 = 4
(8 × 1) + 3 = 8 + 3 = 11
Find the number of boards: 2 + 2 = 4
(8 × 2) + 2 = 16 + 2 = 18
Find the number of boards: 3 + 1 = 4
(8 × 3) + 1 = 24 + 1 = 25
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| 8) Pugal made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 9 pans. Each batch of peanut butter brownies makes 8 pans. Pugal made 6 batches and ended up with 49 pans of brownies. How many batches of each type of brownie did he make Answer: 1 Answer: 5 SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 6. Guess #1: 4 batches of fudge brownies and 2 batches of peanut butter brownies Find the number of batches: 4 + 2 = 6
(9 × 4) + (8 × 2) = 36 + 16 = 52
Find the number of batches: 3 + 3 = 6
(9 × 3) + (8 × 3) = 27 + 24 = 51
Find the number of batches: 1 + 5 = 6
(9 × 1) + (8 × 5) = 9 + 40 = 49
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| 9) A team from the college went on a science-and-maths quiz show. The science questions were worth 8 points and the maths questions were worth 6 points. The team answered a total of 7 questions and earned 50 points. How many questions did the team answer in each category Answer: 4 science questions Answer: 3 maths questions SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 7. Guess #1: 6 science questions and 1 maths question Find the number of questions: 6 + 1 = 7
(8 × 6) + (6 × 1) = 48 + 6 = 54
Find the number of questions: 2 + 5 = 7
(8 × 2) + (6 × 5) = 16 + 30 = 46
Find the number of questions: 4 + 3 = 7
(8 × 4) + (6 × 3) = 32 + 18 = 50
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| 10) Sriram bought 7 bags of apples. The red apples came in bags of 2 and the green apples came in bags of 8. Sriram bought a total of 26 apples. How many bags of each type of apple did he buy Answer: 5 bag of red apple Answer: 2 bag of green apple SOLUTION 1 : Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 7. Guess #1: 1 bag of red apples and 6 bags of green apples Find the number of bags of apples: 1 + 6 = 7
(2 × 1) + (8 × 6) = 2 + 48 = 50
Find the number of bags of apples: 6 + 1 = 7
(2 × 6) + (8 × 1) = 12 + 8 = 20
Find the number of bags of apples: 5 + 2 = 7
(2 × 5) + (8 × 2) = 10 + 16 = 26
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