Rithvik's Blog 11+

A number is increased by 3, then multiplied by 4. The result is the same as if the number had first been multiplied by 4 and then increased by 24. What is the number?

A return ticket from Town A to Town B costs £3.50. A single ticket from Town A to Town B costs £2.40. A group of 5 friends buys exactly enough tickets (single and return) to make a total of 8 journeys between Town A and Town B. They spend exactly £13.90 in total. How many return tickets did they buy?

A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 cm, what are the length and width of the rectangle?

The numbers in the sequence below follow a certain pattern: 3, 7, 13, 21, ___, 43 What number should go in the blank?

Sophie had a certain number of marbles. She gave half of them to Jack. Then, she gave 12 more marbles to Lily. Now she has 16 marbles left. How many marbles did Sophie have at the beginning?

A triangle has sides of length 7 cm, 24 cm, and 25 cm. Is this a right-angled triangle?

Look at this sequence of numbers: 4, 9, 16, 25, ___, 49 What number should go in the blank?

A number is tripled, then 7 is subtracted from the result. The final answer is double the original number plus 5. What is the number?

In triangle ABC, angle A measures 40°, and angle B measures 65°. What is the size of angle C?

I think of a number. I double it, then subtract 7. The result is 25. What was my original number?

Emma had some apples. She gave 1/3 of them to her friend Lucy and then ate 5 apples herself. After that, she had 16 apples left. How many apples did Emma have at the beginning?

A sequence of numbers goes like this: 3, 7, 11, 15, ___, 23, 27 What number should go in the blank?

Sophie has 3 boxes of marbles. The first box has twice as many marbles as the second box. The third box has 12 fewer marbles than the second box. Altogether, the three boxes have 96 marbles. How many marbles are in each box?

There are some chairs in a hall. If 4 more people come, there won’t be enough chairs and 3 people will have to stand. But if 3 people leave, there will be 5 chairs left empty. How many chairs are there in the hall?

Sophie had some marbles. She gave 1/4 of them to her friend Alex and then gave 1/3 of the remaining marbles to her brother. If she had 30 marbles left, how many marbles did Sophie have at the beginning?

Tom, Sarah, and James each have a collection of marbles. Tom has twice as many marbles as Sarah. Sarah has 10 fewer marbles than James. Altogether, they have 100 marbles. How many marbles does each person have?

Emma has a big bag of sweets. She wants to share them equally between her 4 friends. When she tries to do this, she finds that she has 3 sweets left over. If she had 7 more sweets, she could have shared them exactly. How many sweets does Emma have?

A train leaves London at 10:15 a.m. and travels to Manchester at a constant speed of 60 miles per hour. Another train leaves Manchester at 11:00 a.m. and travels toward London at a speed of 75 miles per hour. The distance between London and Manchester is 300 miles. At what time will the two trains pass each other?

Look at this sequence of numbers: 3, 6, 12, 24, ___, 96 What number should go in the blank?

Emma went to a bookstore with £20. She bought 3 notebooks and 2 pens. Each notebook cost £3.50, and all the pens cost the same amount. After paying, she had £2.50 left. How much did each pen cost?

A train travels from Town A to Town B at an average speed of 60 km/h. On the return journey, due to track repairs, it travels at an average speed of 40 km/h. The total time taken for the round trip is 5 hours. What is the distance between Town A and Town B?

Sarah had a bag of marbles. She gave half of them to her friend Tom. Then, she gave a third of the remaining marbles to her sister. If she had 18 marbles left after that, how many marbles did she have at the beginning?

Sophie has a box of red, blue, and green marbles. She knows that: There are 3 times as many red marbles as green marbles. There are 12 more blue marbles than green marbles. Altogether, she has 72 marbles. How many marbles of each colour does Sophie have?

Samantha was reading a book when she noticed that some pages were missing. She checked and found that the sum of the missing page numbers was 98 . If a sheet of paper in the book contains two pages (one on each side), how many sheets were missing?

A father is three times as old as his son. In eight years, he will be twice as old as his son. How old is the son now?

Sam, Alex, and Emma wake up at different times: Sam wakes up 45 minutes after Alex. Emma wakes up 20 minutes before Sam. Alex wakes up at 6:35 AM . What time does Emma wake up?

A number is doubled, then increased by 7. The result is then divided by 5, giving an answer of 6. What was the original number?

A number is multiplied by 3, then increased by 8. The result is the same as when the number is doubled and then increased by 14. What is the number?

Solve for x in the equation: (2x + 3)/(x – 2) = (3x + 4)/(x + 1)

A number is multiplied by 3, then 5 is added to the result. The final answer is the same as when the number is doubled and then increased by 8. What is the number?

Sarah is twice as old as Tom. Four years ago, she was three times as old as Tom was then. How old is Tom now?

James and his friends are sharing a large chocolate bar. If James divides it equally among 4 friends , there are 3 pieces left . However, if he divides it equally among 7 friends , there is only 1 piece left . What is the smallest possible number of pieces in the chocolate bar?

Emma went shopping with £50. She spent half of her money on a dress. Then, she bought a pair of shoes for £12. After that, she spent one-third of her remaining money on a handbag. How much money does she have left?

A number is multiplied by 3, and then 7 is added to the result. The final answer is the same as when the number is doubled and then increased by 10. What is the number?

A train leaves London at 10:15 AM , traveling at an average speed of 60 km/h . Another train leaves from the same station 45 minutes later , traveling on the same track at 90 km/h .

A sequence follows a certain rule: 3, 6, 11, 18, 27, ? , 51 What is the missing number?

A shop is having a sale where all items are first discounted by 20%, and then an additional 10% is taken off the reduced price. If the original price of a jacket is £100, what is the final price after both discounts?

In a fruit basket, the ratio of apples to oranges is 3:2. If there are 18 apples, how many oranges are in the basket? After giving away 4 oranges, what will be the new ratio of apples to oranges?

A train leaves Station A at 10:30 am and travels to Station B at a speed of 60 km/h. Another train leaves Station B at 11:00 am and travels towards Station A at a speed of 80 km/h. The distance between Station A and Station B is 210 km. At what time do the two trains meet?

Jack has a jar of coins. He counts them and finds that he has 240 coins in total. One day, his younger brother takes one-third of the coins to play with. Later, Jack gives one-fourth of the remaining coins to his friend. How many coins does Jack have left in the jar after these two events?

A number is tripled, then 4 is added to the result. The final answer is 25. What was the original number?

Emma has a fruit basket with 120 apples. She sells ⅓ of them in the morning and then gives ¼ of the remaining apples to her neighbour. Later, she accidentally drops 10 apples, which can no longer be used. How many apples does Emma have left in her basket?

A train leaves London at 10:15 AM and travels to Manchester at an average speed of 75 km/h. The total distance between the two cities is 300 km. Halfway through the journey, the train stops for 15 minutes at a station. At what time does the train arrive in Manchester?

Emma takes a train from Town A to Town B, which is 90 miles apart. The train travels at an average speed of 30 miles per hour for the first half of the journey. For the second half, it increases its speed to 60 miles per hour. What is the total time taken for Emma’s journey?

A sequence follows this pattern: 3, 6, 11, 18, 27, ? , 51 What is the missing number?

A shopkeeper arranges boxes in a pattern. The first row has 2 boxes, the second row has 5 boxes, the third row has 8 boxes, and so on. If this pattern continues, how many boxes will be in the 10th row?

Sophie is reading a book. She notices that a few pages are missing. The sum of the numbers of the missing pages is 98. If a sheet of paper in a book has two page numbers (one on each side), how many sheets are missing from Sophie’s book?

A number is multiplied by 3 and then increased by 8. The result is equal to twice the original number plus 14. What is the number?

Sophie has a box of marbles. She gives half of her marbles to her friend Liam. Then she gives one-third of the remaining marbles to her cousin Mia. After that, Sophie has 18 marbles left. How many marbles did Sophie have at the start?

Sam thinks of a number. He doubles it, then adds 7. After that, he divides the result by 3 and gets 11. What was Sam’s original number?

Find the missing number in the sequence: 3, 6, 12, 24, ___, 96 What number should go in the blank?

A train travels from Town A to Town B at a speed of 60 km/h. On the way back from Town B to Town A, it travels at a slower speed of 40 km/h because of strong winds. If the distance between Town A and Town B is 120 km, what is the total time taken for the round trip?

Sophie has three identical boxes and one bag. Each box weighs 4 kg. When Sophie puts all three boxes and the bag on a scale, the total weight is 22 kg. What is the weight of the bag?

A school has 300 students. 40% of them are boys. 25% of the boys wear glasses. 30% of the girls wear glasses. How many students in total wear glasses?

A delivery company packs boxes of different weights. A small box weighs 3 kg, and a large box weighs 7 kg. If a delivery truck is carrying 8 small boxes and 5 large boxes, what is the total weight of the boxes in the truck?

Emma and Jack have marbles in the ratio 5:3. If Emma gives Jack 20 marbles, they will have the same number of marbles. How many marbles did Emma have at the start?

A sequence of numbers follows a particular pattern: 3, 6, 11, 18, 27, ? What number should replace the question mark?

Sophie has a total of 72 marbles. She gives half of them to her friend Emma. Then, Sophie buys 18 more marbles. After that, she decides to split all her marbles equally into 9 jars. How many marbles does Sophie have in each jar?

A baker made a large chocolate cake and cut it into 24 equal slices. She sold 1/3 of the cake in the morning and 3/8 of the remaining slices in the afternoon. How many slices of cake are left at the end of the day?

A sequence of numbers follows a certain rule: 3, 6, 11, 18, 27, ? , 51 What number should replace the question mark?

A sequence of numbers follows this pattern: 3, 7, 15, 31, __, 127. What number should replace the blank?

 A train travels from Town A to Town B, covering a distance of 180 km. If the train increases its speed by 20 km/h, the journey takes 30 minutes less. What was the train's original speed?

 A sequence of numbers follows a certain pattern: 3, 7, 15, 31, ___, 127 What number should replace the blank?

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

I am a two-digit number. My tens digit is 3 more than my ones digit. If you reverse my digits, the new number is 36 less than me. What number am I?

I am thinking of a number. If I double it and then subtract 9, I get 23. What is the number I am thinking of?

I am thinking of a number. If I multiply this number by 3 and then subtract 7, the result is 20. What is the number I am thinking of?

Samantha has a bag of marbles. She gives half of her marbles to her friend Daniel and then gives one-third of the remaining marbles to her other friend, Emily. After that, she has 12 marbles left. How many marbles did Samantha start with?