Problem Solving
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Problem Solving Starters:Add 'em: Add up a sequence of consecutive numbers. All The Nines: Arrange the numbers 1-9 to make three 3 digit numbers that add up to 999. Area Two: How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines? Broken Calculator: Use only the 1, 5 and 0 keys on a calculator to make given totals. 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. Cars: Calculate the total cost of four cars from the information given. Christmas Presents: Work out the total cost of five Christmas presents from the information given. Coins On The Table: A problem about the number of coins on a table given information about fractions of them. 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. Cracked Clock: How did the clock break if the numbers on each of the pieces added up to the same total. Dice Nets: Determine whether the given nets would fold to produce a dice. Digivide: Arrange the digits 1 to 6 to make a three digit number divided by a two digit number giving a one digit answer. Express This Year: Find an expression for the current year which uses all of the digits 1 to 9. Family Buses: Fit families onto buses without splitting up the families. Faulty Button: Find out which of the calculator keys is faulty from the given information. Flowers: Can you draw 4 straight lines, without taking your pencil off the paper, which pass through all 9 roses? 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 to Seven: Which of the numbers from 1 to 20 can you make with the digits 4, 5, 6 and 7? Freemason's Cipher: Find symmetric words in this ancient cipher. Handshakes: If all the students in this room shook hands with each other, how many handshakes would there be altogether? How Many Triangles? 1: How many Triangles can you find in the diagram? How Many Triangles? 2: How many triangles are hidden in the pattern? What strategy might you use to count them all to ensure you don't miss any out? How Many Triangles? 3: Count the number of triangles in the given diagram. Justundera Quid: Find a word whose letters would cost exactly ninety nine pence. Letter Clue Calculations: Work out what the calculations might be from the letter clues. Light Shopping: A lamp and a bulb together cost 32 pounds. The lamp costs 30 pounds more than the bulb. How much does the bulb cost? Match Fish: A traditional match stick puzzle. Missing digits: Work out what the missing digits in the calculations are. Missing Pound: A puzzle about a restaurant bill. Nim: The classic game of Nim played with a group of pens and pencils. Not Too Close: This activity, sometimes known as 'Keep Your Distance' requires eight students to sit non consecutively on a grid of chairs. Oblongs: Find the dimensions of a rectangle given the perimeter and area. Peanuts and Buttons: Two questions involving estimating a quantity. Perimeter: Is it possible to work out the perimeter of this shape if the lengths of all the sides are not given? Plane Numbers: Arrange numbers on the plane shaped grid to produce the given totals Pyramid Puzzle: Arrange numbers at the bottom of the pyramid which will give the largest total at the top. Quads: Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid. Rail Weigh: Record the weights of the trains to work out the weight of a locomotive. Roundabout: Go around the roundabout performing each of the operations. Which starting point gives the largest answer? Santa's Sleigh: Work out the number of clowns and horses given the number of heads and feet. Shadow Sums: Make four sums from the numbers given. Shunting Problem: Allow two trains to pass by using the limited amount of siding space. Siam Symbols: Can you work out what each of the strange symbols represents? Simultaneous Occasions: A problem which can best be solved as a pair of simultaneous equations. Six Discrimination: An activity involving a calculator which is missing the six button. Can you evaluate the given expressions without using the six? Small Satisfaction: Arrange the digits one to nine in the grid so that they obey the row and Column headings. Snowman and Woman: How many different ways can you spell out the word "Snowman" by moving from snowflake to snowflake. Square and Even: Arrange the numbers on the cards so that each of the three digit numbers formed horizontally are square numbers and each of the three digit numbers formed vertically are even. Squared Animals: Separate three rows of three animals using three squares. Stair Perimeter: Calculate the distance around the given shape. Stencils: Which of the coloured stencils will fit over the numbered card to produce correct calculations? Sum of the Signs: Each traffic sign stands for a number. Some of the sums of rows and columns are shown. What numbers might the signs stand for? Sum Square: Arrange the numbers one to eight into the calculations to make the totals correct.. Texting: A code breaking exercise based on the use of predictive text. Tran's Hats: In how many different ways might Tran decide to wear his hats in one week? Un-magic Square: Arrange the numbers 1 to 9 in a 3 by 3 grid so that none of the line totals are the same. Windmill: Arrange the numbers on the yellow squares so that the totals along each line of three squares are equal. Word Sum: Each letter stands for a different digit. Can you make sense of word sum?
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Problem Solving Teacher Resources: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. Countdown: How close can you get to the target by making a calculation out of the five numbers given? Ice-cream Combinations: How many ways can Vicky choose two flavours from six? Keep your Distance: Arranging numbers so that consecutive numbers don't end up together. Plus: A number arranging puzzle Satisfaction: A number properties investigation Satisfy: A number properties problem Six Discrimination: A broken calculator puzzle Tools: In how many different ways can the numbers be arranged to give the same totals? Tri Numbers: A number arranging puzzle Un-Magic Square: Like the magic square but all of the totals should be different. Problem Solving Activities:All The Nines: Use the digits 1 to 9 to make three 3 digit numbers which add up to 999 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. Christmas Presents: Work out the cost of the Christmas presents from the information given. Green Fingers: Find the best quantities to make the watermelon grow. How Many?: Work out how many items were bought from the information given. Ice-cream Combinations: How many ways can Vicky choose two flavours from six? Keep your Distance: Arranging numbers so that consecutive numbers don't end up together. Largest Product: Arranging digits to produce the largest product Magic Square: Each row, column and diagonal should prouce the same sum, Student Version. Oblongs: Find the lengths of the sides of rectangles given their areas and perimeters. Plane Numbers: Arrange numbers on the plane shaped grid to produce the given totals Satisfaction: A number properties investigation Satisfy: A number properties problem Six Discrimination: A broken calculator puzzle Square and Even: Arrange the numbers on the cards so that each of the three digit numbers formed horizontally are square numbers and each of the three digit numbers formed vertically are even. Tran Tunnels: An adventure game requiring students to solve puzzles as they move through the tunnels. Tri Numbers: A number arranging puzzle Unitary Method: Ten questions which can be solved using the unitary method. Un-Magic Square: Like the magic square but all of the totals should be different. Problem Solving Investigations:Green Fingers: Find the best quantities to make the watermelon grow. How Many Rectangles?: How many rectangles can be found on a grid of squares? Jugs: Can you make 4 pints if you only have 3 and 5 pint jugs? The 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. Most Popular Lesson Starters
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