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Year 10 Lucky Dip


Which Operation?

Which Operation?

Decide which mathematical operation is required then use it to find the answers.

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Ratio Clues

Ratio Clues

Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters.

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Where am I with Algebra?

Where am I with Algebra?

Find out how developed your algebra skills are and then take them to the next level.

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Threes and Fives

Threes and Fives

A game for two players who take turns to add a domino to the line in order to score threes and fives.

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Trigonometry in 3D

Trigonometry in 3D

Calculate the lengths of sides and the size of angles in three dimensional shapes.

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Congruent Triangles

Congruent Triangles

Test your understanding of the criteria for congruence of triangles with this self-marking quiz.

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Congruent Pairs

Congruent Pairs

Match the congruent shapes, those with the same shape and size.

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Square and Even

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.

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Estimation Golf

Estimation Golf

Play a round of golf using your estimation skills rather than golf clubs.

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Online Sudoku

Online Sudoku

An online, interactive version of the popular number placing puzzle.

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Faces, Edges and Vertices

Faces, Edges and Vertices

Calculate the number of faces, edges and vertices on 3D Shapes.

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Platonic Solids

Platonic Solids

Identify the names, nets and features of the five regular polyhedra.

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Triangled Hexagram

Triangled Hexagram

Arrange the twelve numbers in the triangles on the hexagram so that the numbers in each line of five triangles add up to the same total.

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Simultaneous Equations

Simultaneous Equations

A self-marking, multi-level set of exercises on solving pairs of simultaneous equations.

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Frequency Trees

Frequency Trees

Use a frequency tree to show two or more events and the number of times they occurred.

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Olympic Rings

Olympic Rings

Place the digits one to nine in each of the regions created by the Olympic rings so that the sum of the numbers in each ring is the same.

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Zygo

Zygo

Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.

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Similar Shapes

Similar Shapes

Questions about the scale factors of lengths, areas and volumes of similar shapes.

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Angles Mixed

Angles Mixed

Find the unknown angles by using the basic angle theorems.

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Set Notation Matching

Set Notation Matching

Match the set notation statements with the equivalent symbol. A drag and drop self-marking exercise.

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Converting Standard Units

Converting Standard Units

Converting measurements of length, mass, volume and time from one unit of measure to another.

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Code Cracker

Code Cracker

Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques.

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Cumulative Frequency

Cumulative Frequency

Online exercises on cumulative frequency for discrete and grouped data with exam-style questions.

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Tower of Hanoi

Tower of Hanoi

Move the pieces of the tower from one place to another in the minimum number of moves.

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Magic Square Puzzle

Magic Square Puzzle

Find all of the possible ways of making the magic total from the numbers in this four by four magic square.

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Xmas Squorder

Xmas Squorder

Rearrange the tiles to form a Christmas picture.

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In-tents Story

In-tents Story

Work out the mathematical words missing from the story about buying a tent.

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Proof of Circle Theorems

Proof of Circle Theorems

Arrange the stages of the proofs for the standard circle theorems in the correct order.

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Cylinders

Cylinders

Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions

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Three Ways

Three Ways

Find three different ways of multiplying four different digits together to get the given target number. There are nine levels for this online challenge.

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Hexagram Star

Hexagram Star

Arrange the twelve numbers on the hexagram so that the numbers in each line add up to the same total.

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Xmas Tree Light Up

Xmas Tree Light Up

Light up the Christmas tree by connecting all the wires and light bulbs to the electrical source.

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Countdown to Christmas

Countdown to Christmas

A two-player game requiring a strategic way of counting off the days till Christmas.

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Power Play

Power Play

Exercises on powers and roots and simplifying index expressions involving numbers of the same base.

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Pythagorean Probe

Pythagorean Probe

Use Pythagoras' Theorem to help find all of the measurements of these right angles triangles.

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Diophantine Equations

Diophantine Equations

Practise finding integer solutions to equations with more than one unknown.

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Fleur-De-Lis

Fleur-De-Lis

Click on six fleur-de-lis to leave an even number in each row and column.

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Prime Square

Prime Square

Drag the numbers into the red cells so that the sum of the three numbers in each row and each column is a prime number.

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Digivide

Digivide

Arrange the numbers from 1 to 6 in the spaces to make the division calculation correct.

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Pascal's Triangle

Pascal's Triangle

Get to know this famous number pattern with some revealing learning activities

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Graph Patterns

Graph Patterns

Find the equations which will produce the given patterns of graphs.

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Fibonacci Quest

Fibonacci Quest

A number of self marking quizzes based on the fascinating Fibonacci Sequence.

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Satisfaction

Satisfaction

This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers.

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Symmetry Table Challenge

Symmetry Table Challenge

In how many cells can you draw symmetrical shapes with the given row and column headings?

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Simultaneous Solutions

Simultaneous Solutions

Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions.

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Greek Letter Pairs

Greek Letter Pairs

Match the names with the commonly used Greek letters.

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Venn Paint

Venn Paint

Flood fill the regions of the Venn diagrams according to the given statements.

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Tree Diagrams

Tree Diagrams

Calculate the probability of independent and dependent combined events using tree diagrams.

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The Broken Chessboard Puzzle

The Broken Chessboard Puzzle

The chessboard has been broken into 13 pieces. Can you put it back together?

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Overdraft Charges

Overdraft Charges

Do you understand how your bank charges you for taking out an overdraft? Try this self marking quiz.

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Vectors - Magnitude and Direction

Vectors - Magnitude and Direction

Calculate the magnitude and direction of a vector and convert between forms.

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Double Treble

Double Treble

Arrange the digits to make three 3 digit numbers such that the second is double the first and the third is three times the first.

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Substitution Sort

Substitution Sort

Order the algebraic expressions according to their value with the given substitution.

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Bottles, Boxes and Cans

Bottles, Boxes and Cans

Estimate the capacity of the bottles, boxes and cans in the photograph and answer questions about volume.

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Comparing Graphs

Comparing Graphs

Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs.

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Direct and Inverse Proportion

Direct and Inverse Proportion

A self-marking exercise in solving direct and inverse variation problems.

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Separated Twins

Separated Twins

Can you find a 6 digit number containing two each of the digits one to three which obeys the rules given?

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Doughnut Dissection

Doughnut Dissection

A puzzle to find four different ways of making 900 by multiplying together three different numbers.

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One Torch Tunnel

One Torch Tunnel

Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time.

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Binary Numbers

Binary Numbers

Learn how to convert numbers from decimal to binary and from binary to decimal.

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Geometry Toolbox

Geometry Toolbox

Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

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If Then Trigonometry

If Then Trigonometry

Finding the exact values of sine, cosine and tangent of angles if given a different trig ratio.

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Blow Up

Blow Up

Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid.

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Algebraic Fractions

Algebraic Fractions

A mixture of algebraic fraction calculations and simplifications.

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Octagram Star

Octagram Star

Arrange the sixteen numbers on the octagram so that the numbers in each line add up to the same total.

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Common Trig Ratios Degrees

Common Trig Ratios Degrees

A self-marking exercise on finding the exact values of sine, cosine and tangent of special angles.

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Unbeknownst

Unbeknownst

Some picture grid puzzles which can be solved by using simultaneous equations.

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Venn Diagram Pairs

Venn Diagram Pairs

The traditional pairs or pelmanism game adapted to test knowledge of Venn diagrams.

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Nim

Nim

Nim is a mathematical game of strategy in which two players take turns removing objects from groups of objects.

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Equations with Fractions

Equations with Fractions

Practise solving linear equations that contain fractions in this multi-level exercise.

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Loci Land

Loci Land

Make scale drawings of real life situations using ruler, compasses and pencil to answer questions about loci.

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Surface Area

Surface Area

Work out the surface areas of common solid shapes in this collection of exercises.

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Venn Diagram of Sequences

Venn Diagram of Sequences

Find the formula for the nth term of sequences that belong in the given sets.

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Delightfully Divisible

Delightfully Divisible

Arrange the digits one to nine to make a number which is divisible in the way described.

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Framed Numbers

Framed Numbers

Figure out which numbers will complete the sentences in the frame correctly. A drag and drop activity.

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Upper and Lower Bounds

Upper and Lower Bounds

Determine the upper and lower bounds when rounding or truncating quantities used in calculations.

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Loci Construction Pairs

Loci Construction Pairs

Match the description of the loci to the diagram of the construction.

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Trigonometry Advanced

Trigonometry Advanced

A self-marking exercise on the sine rule, cosine rule and the sine formula for finding the area of a triangle.

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Take Baht

Take Baht

How many different ways can you make a given total with Thai coins?

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Pascal's Christmas Tree

Pascal's Christmas Tree

Light up the Christmas Tree by flashing lights according to a number pattern.

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Iteration

Iteration

Find approximate solutions to equations numerically using iteration.

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Scheduling Puzzle

Scheduling Puzzle

Make a schedule for the 24-hour Darts Marathon which will take into account everyone's requests and keep everyone happy.

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Heptaphobia Research

Heptaphobia Research

Use written methods to answer ten arithmetic questions. When you have finished you will find the results of this amazing research.

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Indices True False

Indices True False

Arrange the given statements involving indices to show whether they are true or false.

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Sieve of Eratosthenes

Sieve of Eratosthenes

A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

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Two-Step Percentages

Two-Step Percentages

An exercise in which each problem requires two percentage calculations to find the solution.

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Compound Units

Compound Units

Practise using compound units such as speed, unit pricing and density to solve problems.

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Graph Match

Graph Match

Match the equations with the images of the corresponding graphs. A drag-and-drop activity.

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Name that Graph

Name that Graph

Choose from the given functions the one that best describes the shape of the graph.

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Truculent

Truculent

Can you arrange the seven counters on the grid despite their truculent behaviour?

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Graph Plotter

Graph Plotter

An online tool to draw, display and investigate graphs of many different kinds.

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Using Graphs

Using Graphs

Use the graphs provided and create your own to solve both simultaneous and quadratic equations.

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Tran Tunnels

Tran Tunnels

A mini adventure game containing maths puzzles and problems. Find your way through the maze of tunnels to find Goldberg's magic harpsicord.

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