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Cambridge Primary Mathematics 2018 (0845)
Problem solving
Using understanding and strategies in solving problems
Explain a choice of calculation strategy and show how the answer was worked out.
Explore and solve number problems and puzzles, e.g. logic problems.
Describe and continue patterns which count on or back in steps of 2, 3, 4, 5, 10, or 100.
Explain reasons for a choice of strategy when multiplying or dividing.
Choose strategies to find answers to addition or subtraction problems; explain and show working.
Deduce new information from existing information to solve problems.
Use logical reasoning to explore and solve number problems and mathematical puzzles.
Identify relationships between numbers and make generalised statements using words, then symbols and letters, e.g. the second number is twice the first number plus 5 (n, 2n + 5); all the numbers are multiples of 3 minus 1 (3n – 1); the sum of angles in a triangle is 180°.
Make sense of and solve word problems, single and multi-step (all four operations), and represent them, e.g. with diagrams or on a number line; use brackets to show the series of calculations necessary.
Solve simple word problems involving ratio and direct proportion.
Solve simple word problems involving percentages, e.g. find discounted prices.
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Episodes
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Using understanding and strategies in solving problems
1 - 60 of 155 results
G1
G3
Complete arithmetic sequences
up to 100
Problem solving
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G2
G3
Game: Skip count by 2 to 6 (forwards and backwards, short version)
up to 50
Number
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G3
G6
Game: Strategize to solve logic problems (partition squares)
Problem solving
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G3
G6
Game: Estimate angles to reflect lines
Problem solving
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G3
G4
Use operations to combine numbers to reach a target (24 game)
Problem solving
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G4
G5
Use distribution to multiply one-digit numbers
up to 100
Number
View Details
G6
Use percentages to model and solve real-world problems
Problem solving
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G3
G4
Game: Use order of operations to maximize expressions
up to 1000
Problem solving
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G2
G3
Add and subtract whole numbers (number line)
up to 100
Problem solving
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G1
G3
Complete arithmetic sequences (two missing terms)
up to 100
Problem solving
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G3
G4
Create whole numbers with two operations
up to 100
Problem solving
View Details
G3
G6
Game: Strategize to solve logic problems (river)
Problem solving
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G3
G6
Game: Strategize to solve logic problems (lights)
Problem solving
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G4
Create one-step expressions from description in words (four operations)
up to 100
Problem solving
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G5
G6
Create sums with same factor
up to 40
Problem solving
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G6
Use regrouping to add decimals
two decimal places
Problem solving
View Details
G6
Represent parts and wholes with percentages
Problem solving
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G6
Create and interpret percentages of sets and subsets
Problem solving
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G3
Game: Skip count by 2 to 10 (forwards and backwards)
up to 100
Problem solving
View Details
G2
G6
Add currency
regrouping
two decimal places
Measure
View Details
G4
G5
Use algebraic reasoning to solve problems (complex)
Problem solving
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G4
G5
Use algebraic reasoning to solve problems (simple)
Problem solving
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G3
Game: Skip count by 2 to 12 (forwards and backwards)
up to 144
Problem solving
View Details
G2
G6
Add currency
no regrouping
one decimal place
Measure
View Details
G3
G4
Use operations to combine numbers to reach a target (four operations)
up to 100
Problem solving
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G3
G4
Create whole numbers with three operations
up to 100
Problem solving
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G5
G6
Divide whole numbers
up to 1000
with remainder
Problem solving
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G3
G4
Create whole numbers with two or three operations
up to 100
Problem solving
View Details
G5
G6
Multiply one-digit numbers and multiples of 10
up to 10000
Problem solving
View Details
G6
Create whole numbers from percentage parts
Problem solving
View Details
G3
Game: Skip count by 2 to 6 (forwards and backwards)
up to 50
Problem solving
View Details
G6
Strategize to solve subtraction problems (fractions, unlike denominators)
denominators to 50
Problem solving
View Details
G3
G4
Use operations to combine numbers to reach a target (four operations - challenge)
up to 100
Problem solving
View Details
G3
Strategize to solve subtraction problems (fractions, like denominators)
denominators to 6
Problem solving
View Details
G5
G6
Multiply by one-digit numbers
regrouping
up to 10000
Problem solving
View Details
G6
Game: Arrange digits to maximize decimal sums
two decimal places
Problem solving
View Details
G5
Strategize to solve subtraction problems (fractions, related denominators)
denominators to 10
Problem solving
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G3
G4
Balance four multiplication expressions
up to 100
Problem solving
View Details
G3
G6
Strategize to solve subtraction problems (three terms, three operations)
up to 20
Problem solving
View Details
G3
G4
Balance three multiplication expressions
up to 100
Problem solving
View Details
G3
G4
Balance two multiplication expressions
up to 100
Problem solving
View Details
G2
G3
Riddle: Find all factor pairs (rectangle, grid)
Problem solving
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G2
G3
Riddle: Count combinations (animal heads and legs)
Problem solving
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G2
G3
Riddle: Count combinations (matching socks)
Problem solving
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G2
G3
Riddle: Count combinations (flowers)
Problem solving
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G2
G3
Riddle: Find unknowns with algebra (number replacement)
Problem solving
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G2
G6
Use process of elimination
Problem solving
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G3
G6
Riddle: Count partitions (chocolate bars)
Problem solving
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G2
G3
Create composite shapes (complex, with rotation)
Problem solving
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G2
G3
Riddle: Estimate area (squares, grid)
Problem solving
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G5
G6
Riddle: Find the largest product (digits)
Problem solving
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G5
Riddle: Find the secret number (addition, multiplication)
Problem solving
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G5
Riddle: Find the secret number (divisibility)
Problem solving
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G5
Riddle: Find the secret number (factors)
Problem solving
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G5
G6
Riddle: Find unknowns with algebra (arithmetic)
Problem solving
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G6
Riddle: Solve with percentages (fruit drying)
Problem solving
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G6
Riddle: Find the whole from remainders (division)
Problem solving
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G6
Riddle: Calculate weights (jam jars)
Problem solving
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G6
Riddle: Model with algebra (sibling ages)
Problem solving
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G6
Calculate and compare percentage quantities
Problem solving
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Using understanding and strategies in solving problems
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