Rithvik's Blog 11+

A rectangle has a perimeter of 20cm. Its length is 2cm longer than its width What is the rectangle’s area

Bob’s bucket weighs 21kg when full of water. After he pours half the water from the bucket, it weighs 12kg. What is the weight of the empty bucket?

In Moscow at noon it is 4˚C. By midnight the temperature has dropped by 10˚C. What is the temperature at midnight?

On the planet Zog, all numbers are written with the digits in reverse order. For example, forty-five is written as 54. Pluto, an inhabitant of Zog, was given the subtraction 729—26. If no mistakes were made, what answer did Pluto write down?

 What is the smallest whole number, above 120, which, when divided by 53, leaves a remainder of two?

There is an even chance I will pick a toffee from a large bag of sweets containing toffees, jellies and chocolates. If the pack includes 17 jellies and 8 chocolates, how many toffees are there?

The diagram shows the one-way cycle paths in a park.  Work out the total number of possible routes to go from  A to C from A to D from A to E

The price of a one-day ticket to a theme park is £37.60. Joe buys a ticket and experiences 8 rides during the day. Work out the average cost per ride. Rishi pays an additional £31 for a special pass which gives front of line access to all rides throughout the day. He experiences 14 rides. Does the special pass provide value for money? Give reasons for your answer.

Once upon a time, in the Ancient Wizarding World of Haberdasher’s  One pound = 20 shillings  One shilling = 12 pence  A large Margarine-beer costs 1 pound 4 shillings and 9 pence. A small Margarine-beer costs 14 shillings and 5 pence.  Work out the difference in price between a small and large beer. Give your answer in shillings and pence.

Mrs Catchpole gives the following instructions to her Year 6 class: Think of a number. Subtract 13 from this number to get the first result. Go back to the original number and subtract 5 to get the second result. Multiply the first and second results together to get the final answer. Richard obtains a final answer of 0. What number might he have thought of? Give all possibilities.  

Frank catches the 7.52 train from Cambridge to Northampton and he arrives in Northampton at 9.21. How long was is journey? Give your answer in hours and minutes.

James cycles 4000m at 10 metres per second. Alex takes 100 seconds more to cycle the same distance. At what speed does Alex cycle?

Jon has 30% more money than Miguel and together they have £46. Calculate how much money Jon has.

The mean (average) of five numbers is 28. The mean of a different set of twelve numbers is 11. Calculate the mean of all of the numbers together.

Simon and Fiona are sharing a cupboard. If Simon’s things take up 2/5 of the space and Fiona’s things take up 2/7 of the space, what fraction of the cupboard is empty?

Frank catches the 7.52 train from Cambridge to Northampton and he arrives in Northampton at 9.21. How long was his journey? Give your answer in hours and minutes.

Granddad spends one quarter of his weekly pension on a Friday night out, and one third of what remains on a Saturday night. What fraction of his weekend pension is left for him to spend during the rest of the week?

On the ski slopes the depth of the snow is 160cm and each day 3cm melts. After how many days will the depth of snow have fallen to 124cm

Frank is making a sequence of numbers. The first number is 1 and the third is 9. Frank gets his sequence by multiplying the previous value by the same number each time. Write in the three missing numbers in the sequence shown below 1, ____, 9, ____, ____

On the ski slopes the depth of the snow is 160cm and each day 3cm melts. After how many days will the depth of snow have fallen to 124cm

Think of a number. Subtract 13 from this number to get the first result. Go back to the original number and subtract 5 to get the second result. Multiply the first and second results together to get the final answer. Savan follows Mrs Catchpole’s instructions starting with the number 23. Work out Savan’s final answer Richard obtains a final answer of 0. What number might he have thought of? Give all possibilities

Snow White and the seven dwarves work in a mining company. As Chief Executive, Snow White earns as much as all the dwarves put together. Sneezy gets 24 gold galleons a day. Sleepy earns 50% more than Happy. Bashful earns twice as much as Grumpy who earns one more galleon than Sneezy. Doc gets 24 galleons a day more than Dopey and between them they get four times that of Sneezy. Sleepy earns seven-eighths of Sneezy’s salary.  Complete the table below to work out how much Snow White earns in a day.

Think of a number. Subtract 13 from this number to get the first result. Go back to the original number and subtract 5 to get the second result. Multiply the first and second results together to get the final answer.

Once upon a time, in the Ancient Wizarding World of Haberdasher’s  One pound = 20 shillings  One shilling = 12 pence  A large Margarine-beer costs 1 pound 4 shillings and 9 pence.  A small Margarine-beer costs 14 shillings and 5 pence.  Work out the difference in price between a small and large beer. Give your answer in shillings and pence.

Pens cost 7p each and pencils cost 5p each. I buy some pens and pencils which cost 55p exactly. How many of each did I buy?

A sunflower seed takes a week to germinate after it has been sown in the ground. After germination it grows the same number centimetres each day. Maya sows a sunflower seed. She measures the height of the plant at midday on the 16th August and again at midday on the 21st August. These two measurements are recorded as 48 cm and 68 cm respectively. On what date did Maya sow the seed in the ground? 

If it is a cold rainy day then I wear a raincoat. If it is a warm rainy day then I carry an umbrella. If I wear my raincoat then I also wear either gloves or a hat but not both. If I carry an umbrella I always wear gloves and sometimes wear my hat as well. I never carry an umbrella and wear my raincoat on the same day. For each of the following, state whether it is definitely true, false or uncertain. It is a warm rainy day. I wear my raincoat and a hat. It is a warm rainy day. I carry my umbrella and wear a hat but no gloves. 

Subtract 13 from this number to get the first result. Go back to the original number and subtract 5 to get the second result. Multiply the first and second results together to get the final answer.

The price of a one-day ticket to a theme park is £37.60. Joe buys a ticket and experiences 8 rides during the day. Work out the average cost per ride.

At a busy railway station trains leave from platform 5 every 6 minutes and from platform 8 every 10 minutes. Trains leave from both platforms at 15:57. When do trains next leave both platforms at the same time?

On my wall I want to put some stickers of David Cameron. The space I have available is 80cm by 45cm and the stickers are each 5cm by 10cm. What is the maximum number of stickers I can fit on the wall?

On my wall I want to put some stickers of my favourite pop star Singing Steve. The space I have available is 55cm by 60cm and the stickers are each 15cm by 5cm. What is the maximum number of stickers I can fit on the wall?

There are twenty gifts stacked up into four piles. The first pile has 3 less than the second pile. The second pile has two more than the third pile. The fourth pile has twice as many as the second pile. How many gifts are in each pile?

The diagram below shows a rectangle, 9 units long, 6 units wide and with parts of non-overlapping circles drawn all over it. The circles all have the same radius and the area of each is 7 square units. Work out the shaded area.

Class 6A go on a Geography trip to Eastbourne and investigate the size of pebbles on the beach. Jonnie picks up seven small pebbles and measures their lengths in millimetres. The lengths of the first six pebbles are:  1, 1, 1, 4, 7, 13  Assuming that the pattern that you observed above continues to hold, work out the length of Jonnie’s seventh pebble.

Train A leaves Birmingham New Street station at 1747 travelling due North on the slow line at 90 km/hour. How many kilometres has this train travelled when the time is 18:17? 

The rate of VAT in this country is 20%. In the shop CoCost, the price of a TV excluding VAT is £550. Work out the cost of the TV after the VAT is added on.

The new TV channel, Lazy Living, broadcasts for 98 hours a week. If two-sevenths of its output is devoted to make-over programmes and the rest to celebrity gossip, for how many hours each week does the channel broadcast programmes on celebrity gossip? _

On Planet Ward, instead of pounds and pence, there are Clips, Lips, Sips and Glips. Two Clip is worth three Lip Two Lip is worth five Sip Seven Sip are worth four Glip How many Sip are four Clip worth?

A cuboid has faces with areas of 18cm2 , 21cm2 and 42cm2 . What are the lengths of its sides?

Jess and Jill share some sweets. Jill has six sweets for every five sweets Jess has. Jill gives eight sweets to Jess. Now, Jill has four sweets for every seven sweets Jess has. How many sweets do the girls have altogether?

Two numbers have a sum of 11 and a product of 24. What is their difference?

Annie spent 1/3 of her money on a new top and 2/3 of the remainder on a skirt. She had £6 left. How much did Annie have in total before spending anything

If it is a cold rainy day then I wear a raincoat. If it is a warm rainy day then I carry an umbrella. If I wear my raincoat then I also wear either gloves or a hat but not both. If I carry an umbrella I always wear gloves and sometimes wear my hat as well. I never carry an umbrella and wear my raincoat on the same day. For each of the following, state whether it is definitely true, false or uncertain: It is a warm rainy day. I wear my raincoat and a hat. It is a warm rainy day. I carry my umbrella and wear a hat but no gloves. It is a cold rainy day. I wear my raincoat, hat and no gloves.

The diagram shows the one-way cycle paths in a park. Work out the total number of possible routes to go  From A to C From A to D From A to E

In the square below, every row, column and diagonal adds up to 15. What number must be put into the square labelled A?

If the following statements are true, how many "x's" are there in a "z"? x + x = y y + y + x = a a + y = z

A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?

A large crate holds twelve cartons of milk whereas a small crate holds only four cartons. I have five large crates and twenty small crates available. What is the smallest number of crates in total that I could use to store 110 cartons of milk?

The rate of VAT (value-added tax) in this country is 20%. In the shop CoCost, the price of a TV excluding VAT is £550. Work out the cost of the TV after the VAT is added on

Yesterday, the reading on Mr Smith’s electricity meter was 098157. He was shocked to realise that all six of these digits are different. How many more units of electricity will he use before the next time all the digits are different? 

 1 + 3 + 5 + 7 + 9 + ……… 99 + 101 Calculator allowed. Only use for a number squared to use optimal method

In this number tower the value in each block is the sum of the two below it. What is the value of block T?

Write one of the words “always”, “sometimes” and “never” in the spaces below to make each of the statements correct:  The sum of two odd numbers is ______________ even.  When an odd number is multiplied by an even number the answer is _______________ odd.  The product of two even numbers is ______________ a multiple of four.  When an even number is divided by an even number the answer is _______________ odd.

Ravi has two sisters, Harsha and Harpreet. He likes to share out his sweets unfairly. One day he gives Harsha twice as many as he gives himself, and he gives Harpreet half as many as he gives himself. If there are 42 sweets in total how many does Ravi get?

A large crate holds twelve cartons of milk whereas a small crate holds only four cartons. I have five large crates and twenty small crates available. What is the smallest number of crates in total that I could use to store 110 cartons of milk?

I turn 40 degrees clockwise, 70 degrees anticlockwise and finally 90 degrees clockwise. If I want to return to my original position by turning through the smallest possible angle, in which direction should I turn and what should the angle be?

  All the long edges of the shape above have the same length and each long edge is twice as long as each short edge. All angles are 90° or 270°. If the area of the figure is 200cm2 , what is the perimeter? e 

Sarah won a large jar of sweets in a Christmas raffle. If there are 486 sweets in the jar and she shares them equally with her 17 classmates, how many do they each get?

John paid a total of £5.15 for a jar of coffee, a carton of milk and a bag of sugar. The jar of coffee cost £3.69 and the carton of milk cost 89p. How much did the bag of sugar cost

How many bags of crisps at 16p each can I buy for £2?

A shop sells bananas and pears. Max buys 1 banana and 2 pears. He paid 94p. Emily buys 1 banana and 1 pear. She paid 62p. How much does 1 banana cost?

A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?

I flip a fair coin that has the number 3 on one side and the number 7 on the other side. At the same time a roll a fair four sided dice that has the numbers 1 to 4 on it. Then I add the two numbers. If I do this 50 times how many times would you expect me to get a total of 7?

A rectangle has perimeter 32cm. The rectangle is three times as long as it is wide. What is the area of the rectangle

John came home from his vacation at his grandmother’s with 5 books. While he was away he bought 2 books at the bookshop and got 1 book as a present from his grandmother. During his stay at his grandmother’s, he also gave his cousin 4 books that he had finished. How many books did he take with him when he left for his holiday?

Georgia always tell the truth. She says : my number  is between 10 and 100 ; my number has a larger tens digit than units digit ; my number is odd ; my number is a multiple of 29 . What is Georgia's number? Atlanta  never tells the truth. She says: my number is greater than 100 ;  my number is not a multiple of 10 ; my number does not divide exactly by 3 ; my number has a remainder  when it is divided by 4. What is Atlanta's number?

(a) Put a cross in the shape with the largest perimeter  (b) Put a ring around the shape with the smallest area.

Sam thinks of a number, multiplies it by 2 and then adds 11. The answer he gets is 29. What number did he think of? Julia thinks of a number, multiplies it by 5, adds 11 and then divides it by 2. She gets the answer 28. What number did she think of?