# AllelyUK's Shop

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#### Colour by Reverse Percentage

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Use reverse percentage to find the value of 100%. Colour each segment according to the value of 100% (once found). Designed as a novel fluency task for low ability groups or as a light fluency revision activity for slightly more able students. All expressions in this worksheet are percentages that are multiples of 5 to facilitate completion without a calculator. All answer values are integers. All percentages are less than 100%. The image that becomes visible once coloured is a percentage symbol on a mostly white background.

#### Wipeout - Big Square Numbers

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Based on the old BBC quiz (with Bob Monkhouse). There are some numbers on the board that are (large) square numbers and others that are not (these answers wipeout). Designed for use as a starter activity or plenary. This particular Wipeout is a good extension for KS3 students who already have secure basic knowledge of what square numbers are. I’ve also included the slides in a “matching cards” format that can be cut out and given to students to sort into “true” or “false” on their desks (or in small groups).

#### Linear Equations Maze

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Solve linear equations to find your way through mazes. Move horizontally or vertically into cells that solve to give the same value of ‘x’. Worksheets start very easy and move on to slightly harder sheets with negative values of ‘x’. It’s anticipated that many students will use basic substitution to solve these mazes. If you intend to discourage this then be clear about expectations about what working out should be shown. A natural (but slightly dull) extension activity is to ask students who quickly find the correct path to solve all of the cells in the maze. I would personally ask “which equation solves for the highest/lowest value of ‘x’” as this is a task that’s slightly more engaging.

#### Colour by Number of Factors

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Colour each segment of the picture according to how many factors the number contained within the segment has. Suitable for lower ability groups or as light relaxing revision of the topic.

#### Colour by Fraction, Decimal & Percentage

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Colour each segment of the picture according to the value of the fraction or decimal when converted into a percentage. Suitable for lower ability groups or as light relaxing revision of the topic.

#### Algebraic Substitution - Wheels

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Turn the inner wheel to change the value of variables to substitute into algebraic expressions. Find the wheel setting that results in the highest total value from the expressions. I’ve made the resource twice - once designed to be just printed and once where the inner wheels can be cut out and pinned to the outer wheels using paper fasteners (solutions can be found in the “cutting version”) My main motivation in making this resource was to present fluency practice for substitution in a visually more novel format. There are a couple of suggested further extension activities for students to consider.

#### Capture the Squares - Reverse Percentage

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Players draw lines to complete squares. Whoever draws the last line captures the square. The value of each square is hidden but an expression about the value of a percentage is given. Players use reverse percentages to work out the true value and strategise to capture the highest value squares. This activity is good for practicing fluency in a fun and engaging way. All reverse percentages in this worksheet are multiples of 5% and designed to be worked out without a calculator. All answers are integers but the values given are typically decimals so many students may find this quite challenging.

#### Colour by Percent of Amount (Calculator)

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Calculate the percentage of an amount (calculator) of each expression and colour the segment accordingly. Once completed a final question to answer is revealed. This is specifically designed for lower ability groups as a more engaging alternative to a traditional worksheet or as a light revision activity for students of any ability level. All questions within are integer percentages and all amounts are multiples of 10 (though most expression answers are decimals).

#### Multiplication Mazes

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Move from square to square - only if the equation within is true. Find the path through from the top left hand corner to the bottom right. Incorrect equations are mostly the result of misconceptions in implementing grid method (although some are misconceptions from column method).

#### Colour by Distance Between Co-Ordinates

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Each segment contains two co-ordinate pairs. Work out the distance between the two using Pythagoras’ theorem and colour the segment according to this distance. The resource does allow for co-ordinates in all 4 quadrants and may therefore challenge foundation level students but all triangles are Pythagorean triples with integer value lengths for the hypotenuse.

#### Right Angled Triangles Mazes

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Use Pythagoras’ theorem to verify whether 3 lengths can form a right angled triangle. Move through each maze from cell to cell - only if the cell contains lengths that would form a right angled triangle. Labelling conventions of sides used are random (c is not always the hypotenuse). Incorrect cells are designed to highlight common misconceptions in the application of Pythagoras’ theorem.

#### Capture the Squares Distance Between Co-Ordinates

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A couple of ‘capture the squares’ games where the square value is the distance between the two co-ordinates within the square (to be calculated using Pythagoras’ theorem). Can be used to consolidate learning or as bell work. Both games feature co-ordinates in all 4 quadrants. The first game has only integer co-ordinates and basic Pythagorean triple triangles. The second game still uses only basic Pythagorean triples but some are scaled to half or 3/2 and some of the co-ordinates may be decimal.

#### Capture the Squares Percentage of Amount

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Capture the squares is a game intended for 2-3 players. Each takes turns drawing a horizontal or vertical line. When the fourth line around a square is drawn on the page, the player who placed that line takes the square. Within each square there is a percentage of amount expression. The result of this expression is the value of the square taken (not all squares are of equal value). The percentage of amounts in this particular game are designed to be calculated using a calculator. All amounts are integer but percentages are decimals. Percentages greater than 100% are included. All answers are decimals.

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Like a wordsearch but with fractions. Find a total amount by drawing a horizontal, vertical or diagonal line through 3, 2, 3 or 4 consecutive cells. The worksheet has questions of increasing difficulty (the first numbersearch has only fractions with a denominator of 2, the second has only fractions with denominators of 2, 4 and 8, the third has only denominators of 3, 6 and 9 whilst the last has 2, 3, 4 &amp; 6 making finding a common factor slightly trickier). Everything should be differentiated - with lower ability students able to find the “2 numbers that add together to make” questions whilst higher ability students can tackle the “4 numbers that add together to make” questions.

#### Capture the Squares Ratio Simplification

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A series of ‘capture the squares’ games where the square value is the missing number in a ratio to simplify. Can be used to consolidate learning or as bell work. Games start basic but later ones build to include three part ratios.

#### Colour by Volume of Cylinders

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Colour each segment of the image according to the volume of the cylinder described within. Particularly designed for students who struggle to engage with traditional worksheets but approrpriate for any students seeking light revision.

#### Capture the Squares - Averages

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Capture the squares is a game intended for 2-3 players. Each takes turns drawing a horizontal or vertical line. When the fourth line around a square is drawn on the page, the player who placed that line takes the square. The maths twist is that the squares have different values. Players must solve the expression inside the square to find the value. In this case the value of squares is found by calculating the average of 3-5 values. Worksheets escalate in difficulty. Starting with positive &amp; negative integers and then moving through 1/2 fractions and then onto fractions/decimals as small as 1/4 increments.

#### Coins search

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Like a word search - but with coins. Find a total amount by drawing a horizontal, vertical or diagonal line through 3, 4, 5 or 6 consecutive cells. The worksheet has questions of increasing difficulty and includes a set of possible solutions (there are other options for some of the questions). Also includes a PowerPoint that has the solutions highlighted on it.

#### Capture the Squares - Coins

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Capture the squares is a game intended for 2-3 players. Each takes turns drawing a horizontal or vertical line. When the fourth line around a square is drawn on the page, the player who placed that line takes the square. Each square on this worksheet is a coin.