Rithvik's Blog 11+

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?