Rithvik's Blog 11+

At midnight, the temperature in a village is −7°C. By midday, it has risen by 15 degrees. By 9 pm, it has fallen by 11 degrees from the midday temperature. What is the temperature at 9 pm?

Six friends meet at a party. Each person shakes hands once with every other person. How many handshakes are there altogether?

Question: A shop sells yoghurts in three different packs: Pack A: 6 yoghurts for £2.10 Pack B: 8 yoghurts for £2.96 Pack C: 10 yoghurts for £3.40 How much cheaper is one yoghurt in the best value pack than one yoghurt in the worst value pack?

A map has a scale of 1 : 50 000. On the map, two villages are7  cm apart. What is the real distance between the villages?

A fish tank is shaped like a cuboid. It is 30 cm long, 20 cm wide and 25 cm tall. Sam fills it using a jug that holds 2 litres. How many full jugs of water does Sam need to pour in before the tank is completely full?

A bag contains 4 red marbles, 6 blue marbles and some green marbles. A marble is picked at random. The probability that it is blue is 1/3. How many green marbles are in the bag?

Two buses leave the bus station at 9:00 am. The red bus leaves every 12 minutes and the blue bus leaves every 18 minutes. When is the next time both buses leave the station together?

A rectangle measures 10 cm by 8 cm. A square with sides of 3 cm is cut out of one corner. What is the perimeter of the shape that is left?

A train leaves Birmingham at 10:48 and arrives in London at 13:15. How long does the journey take?

The mean of five numbers is 12. When a sixth number is added, the mean of all six numbers becomes 13. What is the sixth number?

In a triangle, angle A is twice the size of angle B. Angle C is 20° bigger than angle B. What is the size of the largest angle?

A jacket costs £80. The shop increases the price by 25%. Later, in a sale, the new price is reduced by 20%. How much does the jacket cost in the sale?

Ben and Chloe share a bag of sweets in the ratio 3 : 5. Chloe gets 18 more sweets than Ben. How many sweets were in the bag altogether?

Maya cycles at 12 km per hour for 1 hour 30 minutes. She then cycles at 15 km per hour for 40 minutes. How far does she cycle altogether?

Leo spends 1/3 of his money on a book. He then spends 1/4 of the money he has left on lunch. He now has £12 left. How much money did Leo start with?

A rectangle has a perimeter of 36 cm. Its length is twice its width. What is the area of the rectangle?

Amy and her mum have a total age of 48. In 6 years' time, her mum will be exactly 3 times as old as Amy. How old is Amy's mum now?

A shop sells pencils at 3 for 45p and pens at 2 for 70p. Sam buys 12 pencils and some pens, and spends £3.90 in total. How many pens does Sam buy?

The ratio of boys to girls in a class is 3 : 5. There are 8 more girls than boys. How many pupils are in the class altogether? Have a go first. The answer is below.

A shop has a sale offering 20% off all items. A jacket originally costs £45. A customer buys the jacket and a pair of trainers originally priced at £60, also with 20% off. What is the total amount they pay?

A recipe for 12 muffins needs 300 g of flour. Amir wants to make 30 muffins for a bake sale. He has 700 g of flour in his cupboard. How much flour does he need to make 30 muffins?

A school is organising a trip. There are 96 pupils going, and each coach can hold 28 pupils. If each coach costs £150 to hire, what is the total cost of hiring the coaches needed?

A school has 240 pupils. Three-eighths of the pupils are in Year 6, and the rest are split equally between Year 7 and Year 8. How many pupils are in Year 8?

Sam is 4 years older than his sister Priya. In 6 years, the sum of their ages will be 42. How old is Priya now?

Amara has saved £45 towards a new bicycle that costs £120. She saves an extra £7.50 each week from her pocket money. After how many weeks will she have saved enough money to buy the bicycle?

A shelf holds 96 books. Two-thirds of the books are fiction and the rest are non-fiction. If 18 of the non-fiction books are then donated to charity, how many non-fiction books remain on the shelf?

Sam is 3 years older than his sister Priya. In 5 years' time, the sum of their ages will be 35. How old is Priya now?

 Ben has a bag of 40 sweets. He eats 2/5 of them on Monday and 1/4 of what is left on Tuesday. How many sweets does he have left?

Amir is saving for a bike that costs £84. He has already saved £36, and plans to save £6 each week from his pocket money. How many more weeks will it take him to save enough to buy the bike?

 A cyclist travels 15 km in 45 minutes. What is her average speed in km/h?

A map has a scale of 1:50,000. If two towns are 8 cm apart on the map, what is the real distance in kilometres?

In a class of 30 students, 40% are boys. How many girls are there?

A car depreciates by 10% each year. If it is worth £18,000 now, what will it be worth after 2 years?

A number is 3 more than twice another number. Their sum is 39. What are the two numbers?

A model car is built to a scale of 1:20. If the real car is 4 metres long, how long is the model in centimetres?

Two classes have 24 and 30 pupils. The ratio of boys to girls is 1:2 in the first class and 3:2 in the second. How many girls are there in total?

A recipe uses flour and sugar in the ratio 5:2. If 250g of sugar is used, how much flour is needed?

A rectangular garden measures 12 metres by 8 metres. A path 1 metre wide is built all the way around the outside of the garden. What is the area of the path?

What is 30% of 600?

A journey starts at 09:15 and lasts 3 hour(s) and 15 minutes. What time does it end?

A rectangle has a length of 15 cm and a width of 9 cm. What is its area?

Find the Highest Common Factor (HCF) of 18 and 20.

Find the next term in the sequence: 5, 10, 15, 20, 25, ___

The ratio of boys to girls is 6:8. If there are 100 altogether, how many boys are there?

A rectangle has a perimeter of 54 cm. Its length is twice its width. What is the area of the rectangle?

A number is put into a machine. First, the machine adds 7. Then it doubles the result. Finally, it subtracts 9. The final answer is 25. What was the original number?

A row of squares is made from matchsticks. 1 square uses 4 matchsticks 2 squares in a row use 7 matchsticks 3 squares in a row use 10 matchsticks How many matchsticks will 20 squares in a row use?

A number is multiplied by 4 and then 7 is added. The result is three times the original number plus 19. What is the number?

A number is multiplied by 4, then 7 is added. The result is the same as when the number is multiplied by 6, then 3 is taken away.

A number is doubled, then 7 is added. The result is 31. What is the number?

Sam is 4 years older than Mia. In 3 years’ time, Sam will be twice as old as Mia.

Amira has 48 marbles. She gives some to her brother and then loses 7 marbles. She now has 29 marbles left. How many marbles did she give to her brother?

 The sum of three consecutive integers is 72. What is the product of the smallest and the largest integer?

Two numbers add up to 27. If you double the smaller number and subtract the larger number, the answer is 3. What are the two numbers?

Triangle ABC is isosceles with AB = AC. The angle at A is 40°. What is the size of angle B?

A shop sells bags of marbles. Each small bag has 24 marbles. Each large bag has 36 marbles. Amir buys 2 small bags and 3 large bags. He then gives 18 marbles to his friend. How many marbles does Amir have left?

A number is multiplied by 4, then 7 is added. The result is the same as when 3 times the number is increased by 19. What is the number?

A theatre sold 120 tickets in total. Adult tickets cost £8 each and child tickets cost £5 each. The theatre took £840 altogether. How many adult tickets and how many child tickets were sold?

A number machine works like this: It takes a number, doubles it, then adds 6, then divides the result by 2. The machine outputs 17. What number did you put into the machine?

A number x is multiplied by 3, then 5 is added. The result is the same as 2 less than double the number. Find x.

Two numbers add up to 50. When the larger number is divided by the smaller number, the result is 4 with a remainder of 5. What are the two numbers?

In a mirror reflection, which letter would look the same: A, B, C, or D?

A shop reduces prices by 20%. If a coat originally cost £80, what is the sale price?

Sophie has a box of red, blue, and green marbles. There are 3 times as many red marbles as blue marbles, and 6 fewer green marbles than red marbles. If Sophie has 43 marbles in total, how many of each colour does she have?

If a pattern shows shapes increasing in size by one unit each time, and the third shape has 4 units, how many units does the fifth shape have?

A train travels 180 miles in 3 hours. What is its average speed in miles per hour?

If it takes 4 workers 6 days to build a wall, how many days would it take 3 workers?

If 3 pens cost £2.40, how much would 7 pens cost?

Tom had some marbles. He gave half of them to Sarah. Then he gave one-third of the remaining marbles to James. After that, he had 20 marbles left. How many marbles did Tom have at the start?

Sophie has a box of sweets. She gives half of them to her friend Emma. Then she eats 6 sweets herself. After that, she gives a third of what’s left to her brother. Finally, she is left with 10 sweets. How many sweets did Sophie have at the start?