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Primary 4 Math
Various Questions
| Question | Answer |
|---|---|
| Sarah bought 3 notebooks at $2.50 each and a pen for $1.20. She paid with a $10 bill. How much change did she receive? | Answer: $3.30 Explanation: First, calculate the total cost of the notebooks: (3 \times 2.50 = 7.50). Then, add the cost of the pen: (7.50 + 1.20 = 8.70). Subtract this from $10 to find the change: (10 - 8.70 = 1.30). |
| A movie starts at 3:15 PM and lasts for 2 hours and 45 minutes. What time does the movie end? | Answer: 6:00 PM Explanation: Add 2 hours to 3:15 PM to get 5:15 PM. Then, add 45 minutes to 5:15 PM to get 6:00 PM. |
| John cycles at a speed of 12 km/h. How far can he cycle in 3 hours and 30 minutes? | Answer: 42 km Explanation: Convert 30 minutes to hours: (30 \div 60 = 0.5) hours. Then, multiply the total time by the speed: (3.5 \times 12 = 42) km. |
| A container holds 2 liters of water. If you pour out 750 ml, how much water is left in the container? | Answer: 1.25 liters Explanation: Convert 750 ml to liters: (750 \div 1000 = 0.75) liters. Subtract this from 2 liters: (2 - 0.75 = 1.25) liters. |
| Emma has a pizza cut into 8 equal slices. She eats 3 slices and gives 2 slices to her friend. What fraction of the pizza is left? | Answer: (\frac{3}{8}) Explanation: Emma eats 3 slices and gives away 2 slices, so she has given away (3 + 2 = 5) slices. The fraction of the pizza left is (8 - 5 = 3) slices, which is (\frac{3}{8}) of the pizza. |
| The pattern of numbers is 2, 5, 8, 11, … What is the 10th number in the sequence? | Answer: 29 Explanation: The pattern increases by 3 each time. To find the 10th number, use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_1 = 2) and (d = 3). So, (a_{10} = 2 + (10-1) \times 3 = 2 + 27 = 29). |
| A farmer has 120 apples. He packs them into bags of 8 apples each. How many bags does he need? | Answer: 15 bags Explanation: Divide the total number of apples by the number of apples per bag: (120 \div 8 = 15). |
| A rectangle has a length of 10 cm and a width of 4 cm. A square with a side length of 3 cm is cut out from the rectangle. What is the area of the remaining shape? | Answer: 31 cm² Explanation: Calculate the area of the rectangle: (10 \times 4 = 40) cm². Calculate the area of the square: (3 \times 3 = 9) cm². Subtract the area of the square from the area of the rectangle: (40 - 9 = 31) cm². |
| Lily has 150 stickers. She gives 45 stickers to her friend and buys 30 more stickers. How many stickers does she have now? | Answer: 135 stickers Explanation: Subtract the stickers given away: (150 - 45 = 105). Then, add the stickers bought: (105 + 30 = 135). |
| A cuboid has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its volume? | Answer: 60 cm³ Explanation: Calculate the volume using the formula (length \times width \times height): (5 \times 3 \times 4 = 60) cm³. |
| Jane has 120 marbles. She gives 45 marbles to her friend and keeps the rest. How many marbles does she keep? | answer: 75 marbles Explanation: Draw a bar model representing the total number of marbles (120). Subtract the part given away (45) to find the remaining part: (120 - 45 = 75). |
| Tom has 3 times as many books as Jerry. If Jerry has 15 books, how many books does Tom have? | Answer: 45 books Explanation: Draw a comparison model showing Jerry’s books as one unit and Tom’s books as three units. Multiply the number of books Jerry has by 3: (15 \times 3 = 45). |
| A fruit seller has 250 apples. He sells 80 apples in the morning and 90 apples in the afternoon. How many apples does he have left? | Answer: 80 apples Explanation: Draw a bar model representing the total number of apples (250). Subtract the apples sold in the morning (80) and in the afternoon (90): (250 - 80 - 90 = 80). |
| A ribbon is 4 times as long as another ribbon that is 7 cm long. What is the length of the longer ribbon? | Answer: 28 cm Explanation: Draw a model showing the shorter ribbon as one unit and the longer ribbon as four units. Multiply the length of the shorter ribbon by 4: (7 \times 4 = 28). |
| There are 60 students in a class. (\frac{2}{5}) of them are girls. How many girls are there in the class? | Answer: 24 girls Explanation: Draw a bar model divided into 5 equal parts, representing the total number of students. Two parts represent the girls. Calculate (\frac{2}{5}) of 60: (\frac{2}{5} \times 60 = 24). |
| A baker made 150 cupcakes. He sold (\frac{2}{3}) of them in the morning and 30 more in the afternoon. How many cupcakes does he have left? | Answer: 20 cupcakes Explanation: First, find (\frac{2}{3}) of 150: (\frac{2}{3} \times 150 = 100). Subtract the cupcakes sold in the morning and afternoon from the total: (150 - 100 - 30 = 20). |
| A teacher has 95 pencils. She wants to distribute them equally among 8 students. How many pencils will each student get, and how many will be left over? | Answer: Each student gets 11 pencils, with 7 pencils left over. Explanation: Draw a model to divide 95 pencils by 8. Each student gets (95 \div 8 = 11) pencils, with a remainder of (95 - (11 \times 8) = 7). |
| A tank is filled with (\frac{3}{4}) of water. If (\frac{1}{3}) of the water is used, what fraction of the tank is still filled with water? | Answer: (\frac{1}{2}) Explanation: Calculate (\frac{1}{3}) of (\frac{3}{4}): (\frac{1}{3} \times \frac{3}{4} = \frac{3}{12} = \frac{1}{4}). Subtract this from (\frac{3}{4}): (\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}). |
| A rectangle has a length of 12 cm and a width of 8 cm. A square with a side length of 4 cm is cut out from the rectangle. What is the area of the remaining shape? | Answer: 80 cm² Explanation: Calculate the area of the rectangle: (12 \times 8 = 96) cm². Calculate the area of the square: (4 \times 4 = 16) cm². Subtract the area of the square from the area of the rectangle: (96 - 16 = 80) cm². |
| The pattern of numbers is 3, 7, 11, 15, … What is the 12th number in the sequence? | Answer: 47 Explanation: The pattern increases by 4 each time. To find the 12th number, use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_1 = 3) and (d = 4). So, (a_{12} = 3 + (12-1) \times 4 = 3 + 44 = 47). |
| A container holds 3 liters of juice. If you pour out 1.2 liters, how much juice is left in the container? | Answer: 1.8 liters Explanation: Subtract the amount poured out from the total: (3 - 1.2 = 1.8) liters. |
| A train leaves the station at 9:45 AM and travels for 3 hours and 20 minutes. What time does it arrive at its destination? | Answer: 1:05 PM Explanation: Add 3 hours to 9:45 AM to get 12:45 PM. Then, add 20 minutes to 12:45 PM to get 1:05 PM. |
| What are the common factors of 24 and 36? | Answer: 1, 2, 3, 4, 6, 12 Explanation: List the factors of 24 (1, 2, 3, 4, 6, 8, 12, 24) and the factors of 36 (1, 2, 3, 4, 6, 9, 12, 18, 36). The common factors are the numbers that appear in both lists: 1, 2, 3, 4, 6, and 12. |
| Find the greatest common factor (GCF) of 18 and 24. | Answer: 6 Explanation: List the factors of 18 (1, 2, 3, 6, 9, 18) and the factors of 24 (1, 2, 3, 4, 6, 8, 12, 24). The greatest common factor is the largest number that appears in both lists, which is 6. |
| Find the least common multiple (LCM) of 8 and 12. | Answer: 24 Explanation: List the multiples of 8 (8, 16, 24, 32, …) and the multiples of 12 (12, 24, 36, …). The smallest common multiple is 24. |
| A gardener has 36 tulip bulbs and 48 daffodil bulbs. She wants to plant them in rows with the same number of bulbs in each row, without mixing the types of bulbs. What is the greatest number of bulbs she can plant in each row? | Answer: 12 bulbs Explanation: Find the GCF of 36 and 48. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36, and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The greatest common factor is 12. |
| A factory packs 48 bottles into boxes. Each box must contain the same number of bottles. What are the possible numbers of bottles per box? | Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 Explanation: List all the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. These are the possible numbers of bottles per box. |
| Maria is planning a party and has 36 cupcakes. She wants to arrange them on plates with the same number of cupcakes on each plate. What are the possible numbers of cupcakes per plate? | Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36 Explanation: List all the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36. These are the possible numbers of cupcakes per plate. |
| A gardener has 72 flowers and wants to plant them in rows with the same number of flowers in each row. What are the possible numbers of flowers per row? | Answer: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 Explanation: List all the factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. These are the possible numbers of flowers per row. |
| A candy store has 54 candies and wants to divide them into bags with the same number of candies in each bag. What are the possible numbers of candies per bag? | Answer: 1, 2, 3, 6, 9, 18, 27, 54 Explanation: List all the factors of 54: 1, 2, 3, 6, 9, 18, 27, and 54. These are the possible numbers of candies per bag. |
| A hall has 60 chairs and needs to be arranged in rows with the same number of chairs in each row. What are the possible numbers of chairs per row? | Answer: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 Explanation: List all the factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. These are the possible numbers of chairs per row. |
| Sarah has a chocolate bar that she wants to share equally with her 3 friends. If the chocolate bar is divided into 8 equal pieces, how many pieces does each person get? | Answer: Each person gets (\frac{1}{4}) of the chocolate bar. Explan: There are 4 people in total. Divide the chocolate bar into 8 pieces and share them equally: (\frac{8}{4} = 2) pieces per person. Each person gets (\frac{1}{4}) of the chocolate bar. |
| A recipe calls for (\frac{3}{4}) cup of sugar. If you want to make half of the recipe, how much sugar do you need? | Answer: (\frac{3}{8}) cup of sugar Explanation: To find half of (\frac{3}{4}), multiply by (\frac{1}{2}): (\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}). |
| A pizza is cut into 12 equal slices. If Tom eats (\frac{1}{4}) of the pizza, how many slices does he eat? | Answer: 3 slices Explanation: To find (\frac{1}{4}) of 12 slices, multiply: (\frac{1}{4} \times 12 = 3). |
| A tank contains (\frac{5}{6}) liters of water. If (\frac{1}{2}) liter is used, how much water is left in the tank? | Answer: (\frac{1}{3}) liters Explanation: Subtract the used water from the total: (\frac{5}{6} - \frac{1}{2}). Convert (\frac{1}{2}) to (\frac{3}{6}) and subtract: (\frac{5}{6} - \frac{3}{6} = \frac{2}{6} = \frac{1}{3}). |
| If a workshop starts at 1:15 PM and lasts for 3 hours and 40 minutes, what time does it end? | Answer: 4:55 PM Explanation: Add 3 hours and 40 minutes to 1:15 PM. Adding 3 hours brings you to 4:15 PM, and adding 40 minutes brings you to 4:55 PM. |
| A bus departs at 7:45 AM and arrives at its destination at 11:10 AM. How long is the bus ride? | Answer: 3 hours and 25 minutes Explanation: Calculate the time from 7:45 AM to 11:10 AM. From 7:45 AM to 10:45 AM is 3 hours, and from 10:45 AM to 11:10 AM is 25 minutes. So, the total bus ride time is 3 hours and 25 minutes. |
| A conference starts at 9:00 AM and ends at 6:00 PM with three 15-minute breaks and a 1-hour lunch break. How much time is spent on the conference itself? | Answer: 7 hrs and 15 mins Explan: the total duration from 9:00 AM to 6:00 PM: 9 hrs. Subtract the breaks: (9 \text{ hrs} - 1 \text{ hr} - 3 \times 15 \text{ mins} = 9 \text{ hrs} - 1 \text{ hr} - 45 \text{ mins} = 7 \text{ hrs } 15 \text{ mins}). |
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