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Showing posts from July, 2024

John's Marble Collection

John had a collection of marbles. He gave 1/4 of his marbles to his friend Sam and then gave 1/3 of the remaining marbles to his sister Mary. If John had 54 marbles left after giving some to Sam and Mary, how many marbles did he originally have?

Fractions and Percentages

Sarah has a collection of 120 marbles. She decides to give 25% of her marbles to her friend and then loses 1/3 of the remaining marbles. How many marbles does Sarah have left?

The Mystery of the Missing Apples

In a small village, there is an apple orchard owned by Farmer Brown. One morning, Farmer Brown noticed that some apples were missing. He knew that he had picked 150 apples the day before. He decided to investigate and found that three children, Alice, Ben, and Charlie, each took some apples. Alice took 1/5 of the apples, Ben took 3/10 of the apples, and Charlie took 1/4 of the apples. Question: How many apples did each child take, and how many apples were left in the orchard?

Percentage Problem

A store offers a discount of 20% on all items. During a special sale, an additional 10% discount is applied to the already discounted price. If an item originally costs £50, what is the final price after both discounts are applied?

Fractions Word Problem

Sarah has a ribbon that is 3 meters long. She cuts off a piece that is 2/5 of the total length to use for a craft project. She then cuts the remaining ribbon into pieces that are each 1/4 meter long. How many pieces of ribbon does she have after all the cutting?

Tricky Train Timetable

A train leaves Station A at 8:15 AM and travels to Station B, which is 150 kilometers away, at a constant speed of 50 km/h. After a 30-minute stop at Station B, the train continues to Station C at a speed of 60 km/h, covering an additional 90 kilometers. What time does the train arrive at Station C?

The Magic Square

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In a 3x3 magic square, the sum of the numbers in each row, each column, and both diagonals is the same. The magic square below has some numbers filled in. Can you find the missing numbers?

The Perimeter Puzzle

A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 cm, what are the dimensions of the rectangle?

Triangle Troubles

A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. 1. Determine if this triangle is a right triangle. 2. Calculate the area of the triangle.

Train Journeys

A train travels from Station A to Station B at a constant speed. If the train covers 75 miles in 1.5 hours, how long will it take for the train to cover 150 miles at the same speed?

The Perimeter Puzzle

A rectangular garden has a length that is twice its width. If the perimeter of the garden is 36 meters, what are the dimensions of the garden?

The Triangle

A triangle has sides of length 7 cm, 24 cm, and 25 cm.      1. What type of triangle is it based on its sides?     2.  Calculate its area.

The Mystery of the Missing Marbles

James had a collection of 150 marbles. He gave 20% of his marbles to his friend Sarah. Later, he bought 30 more marbles to add to his collection. Then, he decided to give half of his remaining marbles to his cousin Tom.

A trip to the fair

Lily and Max went to the fair with £50 each. They both decided to spend their money on different activities. Lily spent £12 on rides and £8 on games. Max spent £15 on food and £10 on a magic show. At the end of the day, they decided to pool their remaining money together to buy a gift for their friend, which cost £18. How much money did they have left after buying the gift?

The Train Journey Conundrum

A train leaves Station A at 9:00 AM and travels towards Station B at a constant speed of 60 miles per hour. At the same time, another train leaves Station B and travels towards Station A at a constant speed of 40 miles per hour. If the distance between Station A and Station B is 200 miles, at what time will the two trains meet?

Solve the equation

Solve the following equation for  3(x−4)+5=2(x+6)