Rithvik's Blog 11+

At a market, Anna buys 3 apples and 4 oranges for a total of £2.35. Ben buys 5 apples and 2 oranges for a total of £2.65. How much does one apple cost, and how much does one orange cost?

A train leaves City A at 8:15 AM and travels at an average speed of 60 miles per hour. Another train leaves City B, 240 miles away from City A, at 9:15 AM and travels towards City A at an average speed of 80 miles per hour. At what time will the two trains meet?

Lila has a box of chocolates. She gives away 1/4 of the chocolates to her friend, and then she eats 30% of the remaining chocolates. If she has 42 chocolates left after eating, how many chocolates were in the box originally?

Tom had a bag of marbles. He gave half of his marbles to his friend Jerry. Then, he gave one-third of what was left to his sister Anna. After that, he was left with 10 marbles. How many marbles did Tom have initially?

A bakery sells cupcakes in boxes of 6 and 12. One morning, the baker made 78 cupcakes. He sold all of them, with some in boxes of 6 and the rest in boxes of 12. If the baker used exactly 8 boxes, how many boxes of each type did he use?

In an orchard, there are 120 apple trees and 80 pear trees. The gardener decides to plant 60 more trees, keeping the same ratio of apple trees to pear trees. How many of the new trees will be apple trees, and how many will be pear trees?

A train travels from Station A to Station B, covering a distance of 180 miles. If the train travels at a speed of 45 miles per hour, how long will it take to reach Station B? After reaching Station B, it immediately returns to Station A, but this time at a reduced speed of 30 miles per hour. What is the total time taken for the entire journey from Station A to Station B and back?

A train leaves London at 8:00 a.m. and travels toward Manchester at a constant speed of 60 miles per hour. At 9:30 a.m., another train leaves Manchester and heads toward London at a speed of 80 miles per hour. The distance between London and Manchester is 300 miles. At what time will the two trains meet?

 A man is three times as old as his son. In 12 years, he will be twice as old as his son. How old is each of them now?

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?

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?

If a number is multiplied by 6 and then 15 is subtracted, the result is 105. What is the original number?

In a library, there are 5 shelves. Each shelf holds 12 books. If 17 books are borrowed, how many books are left in the library?

A train leaves Station A at 10:30 AM and travels to Station B at an average speed of 60 km/h. If Station B is 150 km away from Station A, at what time will the train arrive at Station B?

Sam has 2/3 of a chocolate bar. He eats 1/4 of what he has. How much of the chocolate bar does Sam have left?

A train leaves Station A at 8:15 AM and travels at a speed of 60 km/h. Another train leaves Station B at 9:00 AM and travels at a speed of 75 km/h. The distance between Station A and Station B is 225 km. At what time will the two trains meet?

If 40% of a number is equal to three-fifths of another number, and the first number is 90, what is the second number?

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?

I am thinking of a number. When I divide this number by 5, the result is 9 more than 3. What is the number?

A train travels from Station A to Station B, a distance of 180 kilometres, at a constant speed. If the train increases its speed by 15 kilometres per hour, it would take 1 hour less to cover the same distance. What is the original speed of the train?

Emily has 36 apples. She gives 1/4 of her apples to her friend, Sarah, and then gives 1/3 of the remaining apples to her neighbour, John. How many apples does Emily have left?

Sarah has a fruit basket containing apples, oranges, and bananas. The total number of fruits in the basket is 60. She notices that the number of apples is double the number of oranges, and the number of bananas is 5 more than the number of apples. How many of each type of fruit does Sarah have in her basket?

Sophie, Ben, and Lily share a box of sweets. Sophie eats 3/8 of the sweets, Ben eats 1/4 of the sweets, and Lily eats the rest. What fraction of the sweets does Lily eat?

Sarah went to the store to buy some school supplies. She bought 4 notebooks, 3 pens, and 2 packs of coloured pencils. Each notebook costs £2.50, each pen costs £1.20, and each pack of coloured pencils costs £3.40. How much did Sarah spend in total?

A number is multiplied by 3 and then 8 is added to the result. If the final answer is 35, what is the original number?

Sarah was calculating the cost of 12 pencils. She knew that each pencil costs £0.45, but she accidentally placed the decimal point in the wrong place and calculated the total cost as £540. How many times more is Sarah's incorrect total compared to the correct total?

A train travels 180 miles in 3 hours. It then takes a different route and travels 240 miles in 4 hours. What is the average speed of the train for the entire journey?

Lucy has a clock that is 15 minutes fast. She sets off on a journey at 9:00 AM, according to her clock. The journey takes exactly 2 hours and 45 minutes. What will the actual time be when Lucy finishes her journey?

A garden is in the shape of an "L" made up of two rectangles. The longer rectangle measures 10 meters by 4 meters, and the shorter rectangle measures 6 meters by 3 meters. Calculate the total area of the garden.

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

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

A train leaves station A at 08:15 AM and travels to station B at an average speed of 60 miles per hour. The distance between station A and station B is 180 miles. At the same time, another train leaves station B heading towards station A, traveling at an average speed of 90 miles per hour. At what time will the two trains pass each other?

Jenny buys 3 notebooks and 2 pens. Each notebook costs £1.50, and each pen costs £0.75. How much does she spend in total?

A train leaves station A at 09:30 and arrives at station B at 13:45. How long does the journey take in hours and minutes?

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?

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?

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?

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?

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?

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?

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?

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?

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.

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?

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?

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.

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.

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?

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

Solve for x 3(x−4)+2=2(x+5)+7

Solve for x in the following equation: 3x+7=2(x+5)

Solve for x in the following equation: 3x+7=2(x+5)

Find the mystery number which, when added to twice itself, gives the same result as when 15 is subtracted from three times the number.

Solve for x in the following equation: 3x+7=2x+10

In a sequence of numbers, each number is double the previous one. If the first number in the sequence is 3, what is the fifth number?

Sally has a basket containing oranges and apples. The total number of fruits in the basket is 24. If the number of oranges is twice the number of apples, how many oranges and apples are in the basket?

If 3x - 7 = 2x + 8, what is the value of x?

Alice had a piece of ribbon that was 3/4 meters long. She used 1/3 of it to tie a bouquet. How much of the ribbon (in meters) did Alice use for the bouquet?

Can you find the smallest prime number that is greater than 20?

Imagine you have a list of numbers from 1 to 100. Can you find out how many numbers in this list are multiples of both 4 and 6?

Imagine you have 48 apples that you need to divide among a certain number of friends. If you divide these apples by 12, 6, 4, or 3 friends, each friend will get an equal number of apples without any apples left over. What is the smallest number of friends among these options that will achieve this? How many apples does each friend get in this case?

Sarah has a piece of ribbon that is 3/4 meters long. She cuts off a piece that is 1/3 meter long to use for a craft project. How much ribbon does she have left?

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?

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.

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

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

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

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?

Tom baked a pie and cut it into 8 equal slices. He ate 3 slices and gave 2 slices to his friend. What fraction of the pie does Tom have left?

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

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?

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?

James and Sarah were comparing the amounts of lemonade they drank at a picnic. If James drank 2/3 of a litre of lemonade and Sarah drank 5/4 litres, how much more lemonade did Sarah drink than James?

In the world of numbers, two digits have gone missing from a sequence. These digits are not the same, and when added together, they form a sum of 12. Interestingly, when multiplied, the product is 35. Can you discover these elusive numbers? Give it a try, and let me know your thoughts or if you need a hint!

Sarah has a piece of ribbon that is 3/4 meters long. She uses 2/3 of this ribbon to decorate her hat. How much ribbon did Sarah use for her hat?