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Showing posts with the label Mathematics

How many apples were there?

Sophie has 4 baskets of apples. Each basket has the same number of apples. She gives 18 apples to her friend and then finds she has 54 apples left. How many apples were in each basket to begin with?

Find the missing number

A sequence of numbers follows this pattern: 3, 6, 12, 24, ___, 96. What number should go in the blank?

The Mysterious Total

A store has a sale on items, and each item is priced differently. Here are the prices for four items: Item A: £5 Item B: £7 Item C: £9 Item D: £11 If Sarah buys 3 of each item, what is the total amount she spends?

Train Travelling Problem

A train leaves Station A at 9:00 AM, traveling towards Station B at a speed of 60 kilometers per hour. Another train leaves Station B at the same time, heading towards Station A at a speed of 80 kilometres per hour. The distance between Station A and Station B is 420 kilometres. At what time will the two trains meet?

The Missing Marbles Mystery

Emma has 120 marbles. She decides to give some marbles to her three friends: Alice, Ben, and Charlie. Emma gives Alice twice as many marbles as she gives Ben and gives Charlie 5 more marbles than Ben. After giving away the marbles, Emma has 35 marbles left. How many marbles did Emma give to each of her friends?

Find the Missing Number

A sequence of numbers follows a specific pattern: 3, 7, 13, 21, __, 43. What is the missing number in the sequence?

Tricky Arithmetic Problem

In a sequence of five consecutive numbers, the sum of the first four numbers is 94. What is the fifth number in the sequence?

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?

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?

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?

How much juice?

Liam has 3/4 of a litre of orange juice and 1/3 of a litre of apple juice. He decides to mix them together in a pitcher. How many litres of juice does Liam have in the pitcher after mixing them?

How many students?

At a science camp, 156 students need to be divided into groups such that each group has the same number of students. If there are six different ways to form these groups, what are the possible numbers of students in each group? Provide all the options.

Decimal addition

If you add 0.3, 0.06, and 0.007 together, what is the sum? Express your answer in decimal form.

What is the third angle

A triangle has two angles measuring 65 degrees and 35 degrees. What is the measure of the third angle in the triangle?

Simultaneous Equations

If x + y = 12 and x - y = 4, what are the values of x and y?

What's the number

Samantha thinks of a number. She multiplies it by 5 and then subtracts 7 from the result. If the final number is 43, what was the original number Samantha thought of?

Sequences

Can you determine the next number in this sequence? 3, 9, 27, 81, ...

Fractions

Sophie and Lucas are sharing a pack of stickers. Sophie takes 3/8 of the stickers, and Lucas takes 1/2 of the stickers. What fraction of the stickers is left in the pack?

Exploring Fractions

Lucy has a ribbon that is 3/4 meters long. She cuts it into pieces that are each 1/8 meter long. How many pieces of ribbon did Lucy cut?