Arithmetic Starters:5.5 Times Table: Write out the 5.5 times table as far as possible. Abundant Buses: A game based around the concept of abundant numbers. Add Quickulations: Calculations appear on the screen every 10 seconds. This mental arithmetic starter provides pace to the start of the Maths lesson. Addle: Arrange the numbers 1 to 14 in the white circles so that the sums are correct. Aint One: Use a calculator to find which whole number divided by another whole number gives 1.8181818181. All for 100: Can you write an expression for 100 which uses all the digits 1 to 9? All The Nines: Arrange the numbers 1-9 to make three 3 digit numbers that add up to 999. Aunt Sophie's Post Office: Work out the number of stamps needed to post a parcel. Big Order: Estimate or calculate then put the large numbers in order of size. Broken Calculator: Use only the 1, 5 and 0 keys on a calculator to make given totals. Broken Calculator 23: Make the numbers 1 to 20 using only the keys on the broken calculator. Broken Calculator 34: Some keys are missing from this calculator. Just how useful is it? Broken Calculator 45: Which numbers can be made with the buttons which have not yet dropped off this calculator? Calc-A-Hundred: A game for two players requiring a calculator and thinking skills. Calculator Nim: A game in which players take turns to add a single-digit number to what is already in the calculator. The winner is the player who makes the display show 30. Clouds: The Sum Sky is obscured by clouds. What do you think the sums in the sky would look like if there were no clouds? Consecutive: Three consecutive numbers multiplied together give a given product. Students are asked to figure out what the numbers are. Consecy Brothers: Which three consecutive numbers multiplied together give the given answer. Countdown: How close can you get to the target by making a calculation out of the five given numbers? Cracked Clock: How did the clock break if the numbers on each of the pieces added up to the same total? Digivide: Arrange the digits 1 to 6 to make a three digit number divided by a two digit number giving a one digit answer. Divide Add: Four divisions. Add the answers together. Divide and Rule: Four divisions to do without a calculator. Division Quickulations: Random divisions calculations appear on screen every ten seconds. Double Trouble: Begin with one, double it, double it again and so on. How many numbers in this sequence can you write down before the register has been called? Doubling: How many times can you double a number before the register is called? Eleventh of the Eleventh: Practise multiplying and dividing by eleven in your head. Express This Year: Find an expression for the current year which uses all of the digits 1 to 9. Faulty Button: Find out which of the calculator keys is faulty from the given information. A mathematical puzzle requiring good problem solving strategies. Firewords: Find words which cost 100p if A costs 1p, B costs 2p etc Flabbergasted: If each number in a sequence must be a factor or multiple of the previous number what is the longest sequence that can be made from the given numbers? Flowchart: Use the flowchart to generate a sequence of numbers. Which number will reach 1 the fastest? Fly Catching: Find which whole number divided by another whole number gives the answer: 1.090909091 For Starters: Four calculations. Add up the answers. For Thought: Add up the answers to the four real life questions. Four Gone: An activity involving a broken calculator which is missing the four button. Can you evaluate the given expressions without using the four? Four Make 999: Find four numbers from those given that add up to 999. Four problems: For mathematical questions to get everyone thinking at the beginning of the lesson.. Four to Seven: Which of the numbers from 1 to 20 can you make with the digits 4, 5, 6 and 7? Half a Dozen: Six calculations to complete without a calculator. Half a Pound: If A costs 1p, B costs 2p, etc can you find a word which costs exactly 50p? Halve It: Start with 100. Halve it to get 50. Halve that to get 25. Continue as far as possible. Halve it: Start with 512. Halve it to get 256. Halve it to get 128. Continue as far as possible. Happy Numbers: To find out whether a number is happy or not, square each of its digits, add the answers and repeat. If you end up with 1 the number is happy! How many other happy numbers can you find? Hole in One: If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method. How Do You Do?: A little lateral thinking will help you solve this number puzzle. How many of Each?: Pens cost 12p each, Pencils cost 9p each, Richard spent 72p altogether. How many pens and pencils did he buy? Jeopardy: Loosely based on the famous television show, how many questions cn you come up with for a given answer? Just In Time: Calculations appear on the screen every 10 seconds. Justundera Quid: Find a word whose letters would cost exactly ninety nine pence. Khmer's Homework: Check a student's homework. If you find any of the answers are wrong write down a sentence or two explaining what he did wrong. Largest Product: Arrange the numbers to produce the largest product. Letter Clue Calculations: Work out what the calculations might be from the letter clues. Lucky Numbers: Arrange the numbers so that the totals of the three numbers along any line are the same. Maggots: Do as many of the calculations as possible before the maggots infest! Magic Square: Arrange the numbers 1 to 9 in a 3 by 3 grid to form a magic square. May Day: Add together the dates of all the Thursdays in May this year. Mental Test 10: The starter is a PowerPoint file containing a twenty question mental arithmetic test. It will advance from one question to the next automatically. Mental Test 9: A traditional twenty question mental arithmetic test presented as a PowerPoint presentation. Meta Products: Which numbers when multiplied by the number of letters in the word(s) of the number give square numbers? Mirror Maths: The bottom half of some symmetrical calculations are shown above. Can you work out the answers? Missing digits: Find the digits missing from the calculations. Missing Operations: Each red box represents a missing operation (+, -, x or ÷). Can you find what they are? Missing Pound: A puzzle about a restaurant bill. Movie Minutes: Calculations involving hours and minutes based on the runing times of popular DVDs. Ms Tayke: How many times can you take one number from another? Multiplication Grid: Copy and complete the multiplication grid. Multiply Quickulations: Random multiplications appear on screen every ten seconds. Nim: The classic game of Nim played with a group of pens and pencils. No Partner: Find which numbers in a given list do not combine with other numbers on the list to make a given sum. Noodlewhack: Divide one whole number by another on your calculator. If the answer has one digit repeated but no other digits you have a Noodlewhack. Oblongs: Find the dimensions of a rectangle given the perimeter and area. On The Double: Double the numbers given in the table. One Digit 100: How many ways can you write an expression for 100 which only uses the same digit repeated and any operations? Only One Number: Find other numbers that can be changed to 1 on a calculator using only the 4 key and any operation. Outnumbered: Which group of four numbers, arranged in a square, has the largest total? Pears Make Squares: Find three numbers such that each pair of numbers adds up to a square number. Percent Table: Complete the table by calculating common percentages without using a calculator. Plane Numbers: Arrange numbers on the plane shaped grid to produce the given totals Planet Numpair: The sum and product are given, can you find the two numbers? Plus: A number puzzle suitable for children with a wide range of abilities. Plus Four: Four addition sums. Product Practice: Work out the answers to the given calculations then add the answers together. Puddings: Complete the calculations with the weights of the puddings Pyramid Puzzle: Arrange numbers at the bottom of the pyramid which will give the largest total at the top. Quick: Develop a quick way of multiplying by 1001. Quotients: Work out the answers to the given calculations then add the answers together. Recurring Decimal: Use your calculator to find which whole number divided by another whole number gives the answer 1.36363636 Rock an Roll: Each different letter stands for a different digit. Can you make sense of this word sum. Roundabout: Go around the roundabout performing each of the operations. Which starting point gives the largest answer? Rounding 1dp: Round off the given numbers to 1 decimal place then add the answers together. Rounding 2dp: Round off the given numbers to 2 decimal places then add the answers together. Rounding Whole: Round off the given numbers to the nearest whole number then add the answers together. Route to Las Vegas: Work out the cheapest route from Los Angeles to Las Vegas by choosing the best route and adding up the given numbers. Second Holiday: Estimate then work out the period of time equal to the given number of seconds. Sequences 2: Continue the sequences if you can work out the rule. Shadow Sums: Make sums from the three digit numbers given. Sid's Schemes: Work out which is the best scheme for Sid to choose for his summer bonus. One scheme involves a common misconception about percentages. Six Discrimination: An activity involving a calculator which is missing the six button. Can you evaluate the given expressions without using the six? Six of the Best: Six calculations to perform without a calculator. Square Pairs: Arrange the numbered trees so that adjacent sums are square numbers. Square Thinkers: Can you find three square numbers where the third is the sum of the first two? Stacks of Sums: Write down many different types of calculations which give a particular answer. Stencils: Which of the coloured stencils will fit over the numbered card to produce correct calculations? Strange Tables: A challenge to learn an unfamiliar times table involving decimals. Student Loans: Six students borrow £5000 to help pay for their university course. Calculate how much each will have to pay back to the lender. Subtract Quickulations: Calculations appear on the screen every 10 seconds. Sudoku Sum: What is the sum of the numbers missing from the given Sudoku puzzle? Sum Square: Arrange the numbers one to eight into the calculations to make the totals correct.. Sum Story: Make up a real life story for the given calculations. Table Legs: Learn an unusual times table from the strategic finger moving up and down the 'Table Leg'! Targets: Use the given numbers to produce a calculation to get as close as possible to the given target. Tasty Take-Aways: Four subtractions. Team Age: Work out who is in which team from the information given. Three and a Half: Write down as many multiples of 3.5 as possible in 3.5 minutes. Three Make 1000: Find three numbers from those given that add up to 1000. Ticker News: A Think Of A Number problem presented as a news ticker. Time Trials: You have 10 seconds to answer each of the mental arithmetic questions. Timed Tables: How fast can you answer 25 mixed times tables questions? Tools: Place the numbers on the triangle so that the totals along each of the sides are equal. Triples: Complete the calculations using only the given numbers. Triplets: Find as many sets of three of the available numbers as possible which add up to the given total. Tutu 5!: Which of the numbers from 1 to 20 can you make with the digits: 2, 3, 4 and 5? Twin Totals: Find the two calculations that give the same total. Two Numbers: Find the two numbers whose sum and product are given. Two Thirds: Make a poster showing a variety of calculations that give the answer two thirds. Unmagic Square: Arrange the numbers 1 to 9 in a 3 by 3 grid so that none of the line totals are the same. Use the digits: Use the digits 8, 9, 7, 1 and 7 to make 7567. Verruca Value: The Verruca Value of a word is the number of vowels multiplied by the number of consonants. How many words can you find with Verruca Value of 24? Warm Up: Four mathematical problems. What are they?: A starter about sums, products, differences, ratios, square and prime numbers. Windmill: Arrange the numbers on the yellow squares so that the totals along each line of three squares are equal. Word Difference: Can you find substitutions which will make the word sum correct? Word Sum: Each letter stands for a different digit. Can you make sense of word sum? Wrong Way Round: Find calculations which written back to front give the same answer.
Featured ActivityHi-Low Predict Similar to the 'Play Your Cards' right game. |
Notes:The ability to perform mathematical calculations is still very important and supports the understanding of Mathematics. Mathematicians still consider mastery of the manual algorithms to be a necessary foundation for the study of algebra and computer science.
Arithmetic Teacher Resources:Broken Calculator (3 and 4): How can you make use of a calculator if it only has two number buttons. Countdown: How close can you get to the target by making a calculation out of the five numbers given? Just In Time: Every 10 seconds a new calculation appears on the screen: A dynamic visual aid. Magic Square: Each row, column and diagonal should prouce the same sum. Plus: A number arranging puzzle Quickulations: Can you do the calculations before the answers appear? Six Discrimination: The six button has dropped off! How could these calculations be done using this calculator? Tools: In how many different ways can the numbers be arranged to give the same totals? Unmagic Square: Like the magic square but all of the totals should be different. Arithmetic Activities:Addle: Arrange the numbers from 1 to 14 in the spaces to make the sums correct. All The Nines: Use the digits 1 to 9 to make three 3 digit numbers which add up to 999 Basic Addition: A self marking exercise on addition with increasing levels of difficulty. Basic Division: A self marking exercise on division with increasing levels of difficulty. Basic Multiplication: A self marking exercise on multiplication with increasing levels of difficulty. Basic Subtraction: A self marking exercise on subtraction with increasing levels of difficulty. BIDMAS: A self marking exercise testing the application of BIDMAS, an acronym describing the order of operations used when evaluating expressions. Broken Calculator (1 and 5): Use only the 1, 5 and 0 keys on a calculator to make given totals Broken Calculator (2 and 3): How can you make use of a calculator if it only has two number buttons. Broken Calculator (3 and 4): How can you make use of a calculator if it only has two number buttons. Broken Calculator (4 and 5): How can you make use of a calculator if it only has two number buttons. Centexpression: Arrange the numbers from 1 to 9 to make an expression with a value of 100. Chain Challenge: How fast can you perform all of the given operations without using a calculator? Clouds: Can you work out which numbers are hidden behind the clouds? Digivide: Arrange the numbers from 1 to 6 in the spaces to make the calculation correct. Doubling Quiz: Drag the number cards onto their doubles. No calculators or writing allowed. Fast Factors: How quickly can you arrange the cards to match the times tables? How Many?: Work out how many items were bought from the information given. Know Your Place: Without a calculator perform some calculations requiring a knowledge of place value. Largest Product: Arranging digits to produce the largest product Letter Sums: Add up the values of the letters in these mathematical words. Magic Square: Each row, column and diagonal should prouce the same sum. Make 1000: Use the numbers on the strange calculator to make a total of 1000 Make an Expression: Use the digits given to form an expression equalling the given total. Mixpressions: Arrange the cards to create a valid mathematical statement. No Partner: Find which numbers in a given list do not combine with other numbers on the list to make a given sum. One Digit Only: Find expressions using only one digit which equal the given targets. Pentransum: Mathematical questions with five possible answers. Plane Numbers: Arrange numbers on the plane shaped grid to produce the given totals Plus: A number arranging puzzle Pyramid Puzzle: Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target? Six Discrimination: The six button has dropped off! How could these calculations be done using this calculator? Six Keys: Use just six keys on your calculator to make a given total. Stamp Sticking: Drag stamps onto the envelopes to make the exact postage as shown at the top left of each envelope. Standard Form: A self marking exercise on standard form. TablesMaster: How fast can you answer times table questions? Ten Multiplications: Ten multiplications for you to do without a calculator. Ten Subtractions: Ten subtractions for you to do without a calculator. Ten Sums: Ten sums for you to do without a calculator. Tools: In how many different ways can the numbers be arranged to give the same totals? Triplets: Find as many sets of three of the available numbers as possible which add up to the given total. Unmagic Square: Like the magic square but all of the totals should be different. Xmas Presents: Work out the cost of the Christmas presents from the information given. Arithmetic Investigations:Aunt Sophie's Post Office: Investigate the ways of making up various postage amounts using 3p and 8p stamps. Decimal Products: Find two decimal numbers that add up to exactly one. What is the product of these two decimals? The Four Rules: See if you can make all of the numbers from 0 to 10 using four threes Arithmetic Videos:Misconceptions: Some people have some strange ideas about multiplication and division. Multiplication: A different way to multiply together numbers. Can you see how it works? SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the Google 'Custom Search' box below.
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