text: ### Number Sequences 1
  
  What is the 9th:
  a) Odd number; 17
  b) Square number; 81
  c) Prime number. 23
  
  ### Factors
  
  Find all the factors of:
  
  24
  
  1, 2, 3, 4, 6, 8, 12, 24.
  
  ### Multiples
  
  Subtract the 4th from the 9th multiples of:
  
  8
  
  40
  
  ### Polygons
  
  What are the names of regular polygons with:
  a) seven sides;
  b) eight sides;
  c) nine sides.
  
  Heptagon, Octagon and Nonagon (all regular)
  
  ### Rounding
  
  Round the following numbers to three significant figures:
  a) 18.78; 18.8
  b) 715242; 715000
  c) 0.008095; 0.00810
  
  ### Area of a Triangle
  
  Find the area of a triangle that has a base of 6cm and a height of 9cm.
  
  27cm2
  
  ### Area of a Trapezium
  
  Find the area of a trapezium that has a base of 12cm, a height of 8cm and a top (parallel to base) of 4cm. 64cm2
  
  Evaluate:
  
  $$\frac{2}{3} + \frac{6}{8}$$ $$= 1\frac{5}{12}$$
  
  ### Fractions (Multiplying)
  
  Evaluate:
  
  $$\frac{1}{2} × \frac{3}{5}$$ $$= \frac{3}{10}$$
  
  ### Fractions (Dividing)
  
  Evaluate:
  
  $$\frac{1}{3} ÷ \frac{5}{4}$$ $$= \frac{4}{15}$$
  
  ### Circle (Vocabulary)
  
  Name the red part.
  
  ### Venn Diagrams
  
  Describe the red region.
  
  ### Shape Formulas
  
  What is the formula?
  
  What is it?
  
  ### Fraction to Percentage
  
  Convert this fraction to a percentage to 3 significant figures.
  
  $$\frac{4}{6}$$ $$= 66.7$$%
  
  ### Circle Area
  
  Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
  
  3.14cm2
  
  ### Circle Circumference
  
  Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
  
  12.6cm
  
  Calculate the value of:
  
  3.5 + 5.9
  
  = 9.4
  
  ### Decimals (Subtracting)
  
  Calculate the value of:
  
  8.1 − 4.8
  
  = 3.3
  
  ### Decimals (Multiplying)
  
  Calculate the value of:
  
  2.5 × 8.6
  
  = 21.5
  
  ### Decimals (Dividing)
  
  Calculate the value of:
  
  44.4 ÷ 12
  
  = 3.7
  
  ### Indices (Simple)
  
  What is the value of:
  
  52
  
  = 25
  
  What is the value of:
  
  $$16^{\frac{1}{2}}$$
  
  $$= 4$$
  
  Calculate the value of:
  
  69 + 98
  
  = 167
  
  ### Basic Subtraction
  
  Calculate the value of:
  
  61 − 28
  
  = 33
  
  ### Basic Multiplication
  
  Calculate the value of:
  
  52 × 96
  
  = 4992
  
  ### Basic Division 2
  
  Calculate the value of:
  
  1638 ÷ 26
  
  = 63
  
  ### Percentage (Of)
  
  Find the value of:
  
  10% of 60
  
  = 6
  
  ### Standard Form 1
  
  Find the value of:
  
  5.19 × 102
  
  = 519
  
  ### Highest Common Factor
  
  Find the highest common factor of twenty four and fifteen.
  
  = 3
  
  ### Times Tables (2-5)
  
   3 × 3 = 9 8 × 3 = 24 9 × 4 = 36 6 × 4 = 24 5 × 4 = 20 7 × 2 = 14 4 × 5 = 20 2 × 2 = 4
  
  ### Times Tables (2-12)
  
   4 × 3 = 12 5 × 7 = 35 9 × 10 = 90 6 × 7 = 42 3 × 9 = 27 7 × 5 = 35 8 × 10 = 80 2 × 11 = 22
  
  ### Times Tables (2)
  
   5 × 2 = 10 8 × 2 = 16 7 × 2 = 14 3 × 2 = 6 9 × 2 = 18 6 × 2 = 12 4 × 2 = 8 2 × 2 = 4
  
  ### Times Tables (3)
  
   7 × 3 = 21 8 × 3 = 24 6 × 3 = 18 9 × 3 = 27 4 × 3 = 12 3 × 3 = 9 5 × 3 = 15 2 × 3 = 6
  
  ### Times Tables (4)
  
   7 × 4 = 28 3 × 4 = 12 8 × 4 = 32 5 × 4 = 20 9 × 4 = 36 4 × 4 = 16 6 × 4 = 24 2 × 4 = 8
  
  ### Times Tables (5)
  
   7 × 5 = 35 5 × 5 = 25 4 × 5 = 20 9 × 5 = 45 8 × 5 = 40 3 × 5 = 15 6 × 5 = 30 2 × 5 = 10
  
  ### Times Tables (6)
  
   5 × 6 = 30 6 × 6 = 36 7 × 6 = 42 8 × 6 = 48 4 × 6 = 24 3 × 6 = 18 9 × 6 = 54 2 × 6 = 12
  
  ### Times Tables (7)
  
   5 × 7 = 35 7 × 7 = 49 8 × 7 = 56 4 × 7 = 28 3 × 7 = 21 6 × 7 = 42 9 × 7 = 63 2 × 7 = 14
  
  ### Times Tables (8)
  
   4 × 8 = 32 5 × 8 = 40 3 × 8 = 24 9 × 8 = 72 8 × 8 = 64 7 × 8 = 56 6 × 8 = 48 2 × 8 = 16
  
  ### Times Tables (9)
  
   3 × 9 = 27 8 × 9 = 72 9 × 9 = 81 5 × 9 = 45 7 × 9 = 63 6 × 9 = 54 4 × 9 = 36 2 × 9 = 18
  
  ### Times Tables (12)
  
   3 × 12 = 36 8 × 12 = 96 6 × 12 = 72 4 × 12 = 48 9 × 12 = 108 7 × 12 = 84 5 × 12 = 60 2 × 12 = 24
  
  ### Fractions (Equivalent)
  
  Write this fraction in its simplest form:
  
  $$\frac{14}{28}$$ $$= \frac{1}{2}$$
  
  ### Fractions (Mixed)
  
  Evaluate:
  
  $$1\frac{2}{3} − \frac{4}{5}$$ $$= \frac{13}{15}$$
  
  ### Pythagoras
  
  Find AC if AB = 3.6m and BC = 5.3m. 3.89m
  
  ### Trigonometry (Angle)
  
  Find angle BCA if AC = 3.3m and BC = 4.4m. 41.4o
  
  ### Trigonometry (Side)
  
  Find AB if angle ABC = 37o and BC = 5.1m. 4.07m
  
  2
  
  2
  
  2
  
  ### Fraction to Decimal
  
  Convert this fraction to a decimal to 3 significant figures.
  
  $$\frac{5}{7}$$ $$= 0.714$$
  
  ### Decimal to Fraction
  
  Convert this decimal to a fraction.
  
  $$0.83$$ = $$\frac{83}{100}$$
  
  ### Percentage (Increase)
  
  Increase £100 by 10%
  
  £110
  
  ### Lowest Common Multiple
  
  What is the lowest common multiple of twelve and thirty two.
  
  = 96
  
  ### Sequence (Arithmetic)
  
  4,15,26,37,48...
  
  Find the:
  a) next term; 59
  b) nth term; 11n - 7
  c) term number 40; 433
  
  ### Sequence (Geometric)
  
  3,6,12,24,48...
  
  Find the:
  a) next term; 96
  b) nth term; 3 × 2n-1
  c) term number 11; 3072
  
  ### Interest (Simple)
  
  If £200 is invested for 9 years with a simple interest rate of 4%, find the amount of interest earned. £72.00
  
  ### Interest (Compound)
  
  If £240 is invested with an interest rate of 6% compounded annually, find the value of the investment after 9 years. £405.47
  
  ### Currency Exchange
  
  If £1 is worth $1.29, convert: a) £240 to dollars;$309.60
  
  b) \$100 to pounds; £77.52
  
  ### Coordinates (Midpoint)
  
  What are the coordinates of the midpoint of the line joining:
  
  $$(4,3) \text{ and } (14,9)$$
  
  (9,6)
  
  What is the gradient of the line joining:
  
  $$(-6,-2) \text{ and } (-3,3)$$
  
  $$\frac{5}{3}$$
  
  ### Coordinates (Square)
  
  Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
  
  $$(1,5),(7,10),(-4,11)$$
  
  (2,16)
  
  ### Negative Numbers
  
  a) 5 − 10 = -5
  b) 5 × (-7) = -35
  c) (12−17)(11−23) = 60
  d) 35 ÷ (-7) = -5
  e) (-9)2 = 81
  
  ### Substitution
  
  If p = 6, q = 15 and
  r = -10 evaluate:
  
  a) 2q − p = 24
  b) pq + r = 80
  c) p2 − 5q - r = -29
  
  ### Equations (Type 1)
  
  Solve:
  
  $$4x = 16$$
  
  $$x = 4$$
  
  ### Equations (Type 2)
  
  Solve:
  
  $$2x -6= 4$$
  
  $$x = 5$$
  
  ### Equations (Type 3)
  
  Solve:
  
  $$6x +4= 2x + 32$$
  
  $$x = 7$$
  
  ### Equations (Type 4)
  
  Solve:
  
  $$5(4x -3)+12= 97$$
  
  $$x = 5$$
  
  ### Equations (Type 5)
  
  Solve:
  
  $$3(4x + 2)= 2(4x + 2)$$
  
  $$x = -0.5$$
  
  ### Equations (Simultaneous 1)
  
  Solve:
  
  $$5x-3y = 11$$
  $$4x+3y = 25$$
  
  $$x = 4, y = 3$$
  
  ### Equations (Simultaneous 2)
  
  Solve:
  
  $$2x-5y = -16$$
  $$5x-15y = -50$$
  
  $$x = 2, y = 4$$
  
  ### Equations (Simultaneous 3)
  
  Solve:
  
  $$5x-3y = 46$$
  $$3x-2y = 29$$
  
  $$x = 5, y = -7$$
  
  ### Sets (Union)
  
  Find the union of:
  
  {1,3,5,7,9} and
  {5,6,7,8,9,10}
  
  {1,3,5,6,7,8,9,10}
  
  ### Sets (Intersection)
  
  Find the intersection of:
  
  {5,6,7,8,9,10} and
  {3,6,9,12,15}
  
  {6,9}
  
  ### Bearings
  
  A plane flies from point A to point B on a bearing of 308o. What bearing would it return on from B to A? 128o
  
  ### Probability
  
  A number is picked at random from the set
  
  {3,6,9,12,15}
  
  what is the probability it is even? $$\frac25$$
  
  Evaluate:
  
  54 ÷ 9 × 4 ÷ 2
  
  12
  
  ### Simplify
  
  Simplify the following by collecting like terms:
  
  $$3n+7−2n+8$$
  
  $$n+15$$
  
  ### Ratio
  
  Divide 143 in the ratio
  
  3:8
  
  39 and 104
  
  ### Graph (Linear)
  
  Draw a rough sketch of the graph of:
  
  $$y=-2x+2$$
  
  y intercept 2
  
  ### Prime Factors
  
  Express the following number as the product of prime numbers:
  
  270
  
  2 x 3 x 3 x 3 x 5
  
  ### Percentage (Reverse)
  
  In a sale an item costs £112 after a 20% reduction. What was the original price?
  
  £140
  
  ### Averages
  
  Find the mean, mode, median and range of the following:
  
  6,7,8,9,10
  
  Mean = 8, no mode,
  median = 8 and range = 4
  
  ### Time (Analogue)
  
  What time is this?
  
  ### Time (Digital)
  
  Sketch a clock face:
  
  ### Decimals (Recurring)
  
  Write the following recurring decimal as a fraction in its lowest terms.
  
  0.535353... $$\frac{53}{99}$$
  
  ### Percentage (Decrease)
  
  Decrease £100 by 20%
  
  £80
  
  ### Brackets (Linear)
  
  Expand:
  
  $$2(2x-9)$$
  
  $$4x-18$$
  
  Expand:
  
  $$(4x+2)(2x-2)$$
  
  $$8x^2-4x-4$$
  
  ### Factorise (Linear)
  
  Factorise:
  
  $$27x-21$$
  
  $$3(9x-7)$$
  
  Factorise:
  
  $$x^2-x-6$$
  
  $$(x+2)(x-3)$$
  
  Factorise:
  
  $$10x^2-x-3$$
  
  $$(2x+1)(5x-3)$$
  
  Which theorem?
  
  ### Standard Form 2
  
  Find the value of:
  
  3.59 × 10-3
  
  = 0.00359
  
  ### Standard Form 3
  
  Write in standard form:
  
  953000
  
  = 9.53 × 105
  
  ### Standard Form 4
  
  Write in standard form:
  
  0.0946
  
  = 9.46 × 10-2
  
  Find the nth term:
  
  $$12, 21, 32, 45, 60,$$
  
  $$n^2+6n+5$$
  
  ### Standard Form 5
  
  Multiply 7 × 105
  by 8 × 105 and give the answer in standard form.
  
  = 5.6 × 1011
  
  Solve:
  
  $$x^2-x-12= 0$$
  
  $$x = 4$$ and $$-3$$
  
  Solve this equation giving the solutions to 3 significant figures:
  
  $$5x^2-5x-3 = 0$$
  
  $$x = 1.42$$ and $$-0.422$$
  
  ### Polygon Angles
  
  What is the size of each interior angle of a regular pentagon?
  
  108°
  
  ### Change The Subject
  
  Make $$e$$ the subject of the formula
  $$f=g(e+h)$$
  
  $$e=\frac{f}{g}-h$$
  
  ### Basic Division 1
  
  Calculate the value of:
  
  1041 ÷ 3
  
  = 347
  
  ### Number Sequences 2
  
  What is the 11th:
  a) Cube number; 1331
  b) Triangular number; 66
  c) Fibonacci number. 89
  
  ### Square Numbers
  
  What is the square root of
  
  25
  
  5
  
  ### Prime Numbers
  
  What is the difference between the 5th and the 6th prime numbers?
  
  13 - 11 = 2
  
  ### Last Lesson
  
  Write down something you learnt in the previous mathematics lesson.
  
  ### Last Week
  
  Write down something you learnt in one of the mathematics lessons last week.
  
  ### Angles
  
  Calculate $$x$$.
  
  ### Decimals (Ordering)
  
  Write down these numbers: 6.66, 6.06, 0.66, 6.6, 0.6, 6, 0.06, in ascending order.
  0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
  
  ### Lengths (Ordering)
  
  Write down these lengths: 1.08m, 17cm, 18mm, 1.8m, 107cm, 1.7cm, in order.
  1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
  
  ### Capacities (Ordering)
  
  Write down these capacities: 173ml, 200ml, 21cl, 17cl, 18cl, 18ml, in order.
  18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
  
  h = 75
  
  h = 75
  
  ## A Mathematics Lesson Starter Of The Day
  
  • Jan, South Canterbury
  •
  • Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you.
  • Barbara Schindler, Newton Rigg College
  •
  • I use Refreshing Revision a lot but today all the brackets and fractions keep coming up 'jumbled' . There are curly brackets, part words / 's in odd places and it is impossible to make out the question. It is doing this on 2 computers I have tried. Can you help? thank you.
  
  [Transum: Sorry to hear about this problem Barbara. I have tested it from here and it seems to be working OK. Please take a look at the MathJax FAQ. Many apologies for the inconvenience.]
  • Lesley, UK
  •
  • Answers for the starter would be great so students can get immediate feedback and become independent learners.
  
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  • Mrs B, Stockport
  •
  • Refreshing Revision really useful resource, that I have actually used for Ks2 revision as some topics are appropriate. I'd love to see either ks2 version, with purely ks2 SATs level topics or adding them to the current version.
  
  [Transum: Thanks so much for your feedback Mrs B. If you could send me a list of your top ten ideas for topic you would like to see added I will work on it]
  • Mark Adams, St Peters RC School Solihull
  •
  • It would be great if these questions came with answers as well.
  
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  How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
  
  Previous Day | This starter is for 9 April | Next Day
  
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  For Students:
  
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explanation: The document is a comprehensive set of math questions and answers, covering a wide range of topics such as number sequences, factors, multiples, polygons, rounding, area calculations, fractions, percentages, and more. Each section contains a question followed by its answer.
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distilabel_metadata.role: system
distilabel_metadata.content: ### Number Sequences 1
  
  What is the 9th:
  a) Odd number; 17
  b) Square number; 81
  c) Prime number. 23
  
  ### Factors
  
  Find all the factors of:
  
  24
  
  1, 2, 3, 4, 6, 8, 12, 24.
  
  ### Multiples
  
  Subtract the 4th from the 9th multiples of:
  
  8
  
  40
  
  ### Polygons
  
  What are the names of regular polygons with:
  a) seven sides;
  b) eight sides;
  c) nine sides.
  
  Heptagon, Octagon and Nonagon (all regular)
  
  ### Rounding
  
  Round the following numbers to three significant figures:
  a) 18.78; 18.8
  b) 715242; 715000
  c) 0.008095; 0.00810
  
  ### Area of a Triangle
  
  Find the area of a triangle that has a base of 6cm and a height of 9cm.
  
  27cm2
  
  ### Area of a Trapezium
  
  Find the area of a trapezium that has a base of 12cm, a height of 8cm and a top (parallel to base) of 4cm. 64cm2
  
  Evaluate:
  
  $$\frac{2}{3} + \frac{6}{8}$$ $$= 1\frac{5}{12}$$
  
  ### Fractions (Multiplying)
  
  Evaluate:
  
  $$\frac{1}{2} × \frac{3}{5}$$ $$= \frac{3}{10}$$
  
  ### Fractions (Dividing)
  
  Evaluate:
  
  $$\frac{1}{3} ÷ \frac{5}{4}$$ $$= \frac{4}{15}$$
  
  ### Circle (Vocabulary)
  
  Name the red part.
  
  ### Venn Diagrams
  
  Describe the red region.
  
  ### Shape Formulas
  
  What is the formula?
  
  What is it?
  
  ### Fraction to Percentage
  
  Convert this fraction to a percentage to 3 significant figures.
  
  $$\frac{4}{6}$$ $$= 66.7$$%
  
  ### Circle Area
  
  Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
  
  3.14cm2
  
  ### Circle Circumference
  
  Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
  
  12.6cm
  
  Calculate the value of:
  
  3.5 + 5.9
  
  = 9.4
  
  ### Decimals (Subtracting)
  
  Calculate the value of:
  
  8.1 − 4.8
  
  = 3.3
  
  ### Decimals (Multiplying)
  
  Calculate the value of:
  
  2.5 × 8.6
  
  = 21.5
  
  ### Decimals (Dividing)
  
  Calculate the value of:
  
  44.4 ÷ 12
  
  = 3.7
  
  ### Indices (Simple)
  
  What is the value of:
  
  52
  
  = 25
  
  What is the value of:
  
  $$16^{\frac{1}{2}}$$
  
  $$= 4$$
  
  Calculate the value of:
  
  69 + 98
  
  = 167
  
  ### Basic Subtraction
  
  Calculate the value of:
  
  61 − 28
  
  = 33
  
  ### Basic Multiplication
  
  Calculate the value of:
  
  52 × 96
  
  = 4992
  
  ### Basic Division 2
  
  Calculate the value of:
  
  1638 ÷ 26
  
  = 63
  
  ### Percentage (Of)
  
  Find the value of:
  
  10% of 60
  
  = 6
  
  ### Standard Form 1
  
  Find the value of:
  
  5.19 × 102
  
  = 519
  
  ### Highest Common Factor
  
  Find the highest common factor of twenty four and fifteen.
  
  = 3
  
  ### Times Tables (2-5)
  
   3 × 3 = 9 8 × 3 = 24 9 × 4 = 36 6 × 4 = 24 5 × 4 = 20 7 × 2 = 14 4 × 5 = 20 2 × 2 = 4
  
  ### Times Tables (2-12)
  
   4 × 3 = 12 5 × 7 = 35 9 × 10 = 90 6 × 7 = 42 3 × 9 = 27 7 × 5 = 35 8 × 10 = 80 2 × 11 = 22
  
  ### Times Tables (2)
  
   5 × 2 = 10 8 × 2 = 16 7 × 2 = 14 3 × 2 = 6 9 × 2 = 18 6 × 2 = 12 4 × 2 = 8 2 × 2 = 4
  
  ### Times Tables (3)
  
   7 × 3 = 21 8 × 3 = 24 6 × 3 = 18 9 × 3 = 27 4 × 3 = 12 3 × 3 = 9 5 × 3 = 15 2 × 3 = 6
  
  ### Times Tables (4)
  
   7 × 4 = 28 3 × 4 = 12 8 × 4 = 32 5 × 4 = 20 9 × 4 = 36 4 × 4 = 16 6 × 4 = 24 2 × 4 = 8
  
  ### Times Tables (5)
  
   7 × 5 = 35 5 × 5 = 25 4 × 5 = 20 9 × 5 = 45 8 × 5 = 40 3 × 5 = 15 6 × 5 = 30 2 × 5 = 10
  
  ### Times Tables (6)
  
   5 × 6 = 30 6 × 6 = 36 7 × 6 = 42 8 × 6 = 48 4 × 6 = 24 3 × 6 = 18 9 × 6 = 54 2 × 6 = 12
  
  ### Times Tables (7)
  
   5 × 7 = 35 7 × 7 = 49 8 × 7 = 56 4 × 7 = 28 3 × 7 = 21 6 × 7 = 42 9 × 7 = 63 2 × 7 = 14
  
  ### Times Tables (8)
  
   4 × 8 = 32 5 × 8 = 40 3 × 8 = 24 9 × 8 = 72 8 × 8 = 64 7 × 8 = 56 6 × 8 = 48 2 × 8 = 16
  
  ### Times Tables (9)
  
   3 × 9 = 27 8 × 9 = 72 9 × 9 = 81 5 × 9 = 45 7 × 9 = 63 6 × 9 = 54 4 × 9 = 36 2 × 9 = 18
  
  ### Times Tables (12)
  
   3 × 12 = 36 8 × 12 = 96 6 × 12 = 72 4 × 12 = 48 9 × 12 = 108 7 × 12 = 84 5 × 12 = 60 2 × 12 = 24
  
  ### Fractions (Equivalent)
  
  Write this fraction in its simplest form:
  
  $$\frac{14}{28}$$ $$= \frac{1}{2}$$
  
  ### Fractions (Mixed)
  
  Evaluate:
  
  $$1\frac{2}{3} − \frac{4}{5}$$ $$= \frac{13}{15}$$
  
  ### Pythagoras
  
  Find AC if AB = 3.6m and BC = 5.3m. 3.89m
  
  ### Trigonometry (Angle)
  
  Find angle BCA if AC = 3.3m and BC = 4.4m. 41.4o
  
  ### Trigonometry (Side)
  
  Find AB if angle ABC = 37o and BC = 5.1m. 4.07m
  
  2
  
  2
  
  2
  
  ### Fraction to Decimal
  
  Convert this fraction to a decimal to 3 significant figures.
  
  $$\frac{5}{7}$$ $$= 0.714$$
  
  ### Decimal to Fraction
  
  Convert this decimal to a fraction.
  
  $$0.83$$ = $$\frac{83}{100}$$
  
  ### Percentage (Increase)
  
  Increase £100 by 10%
  
  £110
  
  ### Lowest Common Multiple
  
  What is the lowest common multiple of twelve and thirty two.
  
  = 96
  
  ### Sequence (Arithmetic)
  
  4,15,26,37,48...
  
  Find the:
  a) next term; 59
  b) nth term; 11n - 7
  c) term number 40; 433
  
  ### Sequence (Geometric)
  
  3,6,12,24,48...
  
  Find the:
  a) next term; 96
  b) nth term; 3 × 2n-1
  c) term number 11; 3072
  
  ### Interest (Simple)
  
  If £200 is invested for 9 years with a simple interest rate of 4%, find the amount of interest earned. £72.00
  
  ### Interest (Compound)
  
  If £240 is invested with an interest rate of 6% compounded annually, find the value of the investment after 9 years. £405.47
  
  ### Currency Exchange
  
  If £1 is worth $1.29, convert: a) £240 to dollars;$309.60
  
  b) \$100 to pounds; £77.52
  
  ### Coordinates (Midpoint)
  
  What are the coordinates of the midpoint of the line joining:
  
  $$(4,3) \text{ and } (14,9)$$
  
  (9,6)
  
  What is the gradient of the line joining:
  
  $$(-6,-2) \text{ and } (-3,3)$$
  
  $$\frac{5}{3}$$
  
  ### Coordinates (Square)
  
  Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
  
  $$(1,5),(7,10),(-4,11)$$
  
  (2,16)
  
  ### Negative Numbers
  
  a) 5 − 10 = -5
  b) 5 × (-7) = -35
  c) (12−17)(11−23) = 60
  d) 35 ÷ (-7) = -5
  e) (-9)2 = 81
  
  ### Substitution
  
  If p = 6, q = 15 and
  r = -10 evaluate:
  
  a) 2q − p = 24
  b) pq + r = 80
  c) p2 − 5q - r = -29
  
  ### Equations (Type 1)
  
  Solve:
  
  $$4x = 16$$
  
  $$x = 4$$
  
  ### Equations (Type 2)
  
  Solve:
  
  $$2x -6= 4$$
  
  $$x = 5$$
  
  ### Equations (Type 3)
  
  Solve:
  
  $$6x +4= 2x + 32$$
  
  $$x = 7$$
  
  ### Equations (Type 4)
  
  Solve:
  
  $$5(4x -3)+12= 97$$
  
  $$x = 5$$
  
  ### Equations (Type 5)
  
  Solve:
  
  $$3(4x + 2)= 2(4x + 2)$$
  
  $$x = -0.5$$
  
  ### Equations (Simultaneous 1)
  
  Solve:
  
  $$5x-3y = 11$$
  $$4x+3y = 25$$
  
  $$x = 4, y = 3$$
  
  ### Equations (Simultaneous 2)
  
  Solve:
  
  $$2x-5y = -16$$
  $$5x-15y = -50$$
  
  $$x = 2, y = 4$$
  
  ### Equations (Simultaneous 3)
  
  Solve:
  
  $$5x-3y = 46$$
  $$3x-2y = 29$$
  
  $$x = 5, y = -7$$
  
  ### Sets (Union)
  
  Find the union of:
  
  {1,3,5,7,9} and
  {5,6,7,8,9,10}
  
  {1,3,5,6,7,8,9,10}
  
  ### Sets (Intersection)
  
  Find the intersection of:
  
  {5,6,7,8,9,10} and
  {3,6,9,12,15}
  
  {6,9}
  
  ### Bearings
  
  A plane flies from point A to point B on a bearing of 308o. What bearing would it return on from B to A? 128o
  
  ### Probability
  
  A number is picked at random from the set
  
  {3,6,9,12,15}
  
  what is the probability it is even? $$\frac25$$
  
  Evaluate:
  
  54 ÷ 9 × 4 ÷ 2
  
  12
  
  ### Simplify
  
  Simplify the following by collecting like terms:
  
  $$3n+7−2n+8$$
  
  $$n+15$$
  
  ### Ratio
  
  Divide 143 in the ratio
  
  3:8
  
  39 and 104
  
  ### Graph (Linear)
  
  Draw a rough sketch of the graph of:
  
  $$y=-2x+2$$
  
  y intercept 2
  
  ### Prime Factors
  
  Express the following number as the product of prime numbers:
  
  270
  
  2 x 3 x 3 x 3 x 5
  
  ### Percentage (Reverse)
  
  In a sale an item costs £112 after a 20% reduction. What was the original price?
  
  £140
  
  ### Averages
  
  Find the mean, mode, median and range of the following:
  
  6,7,8,9,10
  
  Mean = 8, no mode,
  median = 8 and range = 4
  
  ### Time (Analogue)
  
  What time is this?
  
  ### Time (Digital)
  
  Sketch a clock face:
  
  ### Decimals (Recurring)
  
  Write the following recurring decimal as a fraction in its lowest terms.
  
  0.535353... $$\frac{53}{99}$$
  
  ### Percentage (Decrease)
  
  Decrease £100 by 20%
  
  £80
  
  ### Brackets (Linear)
  
  Expand:
  
  $$2(2x-9)$$
  
  $$4x-18$$
  
  Expand:
  
  $$(4x+2)(2x-2)$$
  
  $$8x^2-4x-4$$
  
  ### Factorise (Linear)
  
  Factorise:
  
  $$27x-21$$
  
  $$3(9x-7)$$
  
  Factorise:
  
  $$x^2-x-6$$
  
  $$(x+2)(x-3)$$
  
  Factorise:
  
  $$10x^2-x-3$$
  
  $$(2x+1)(5x-3)$$
  
  Which theorem?
  
  ### Standard Form 2
  
  Find the value of:
  
  3.59 × 10-3
  
  = 0.00359
  
  ### Standard Form 3
  
  Write in standard form:
  
  953000
  
  = 9.53 × 105
  
  ### Standard Form 4
  
  Write in standard form:
  
  0.0946
  
  = 9.46 × 10-2
  
  Find the nth term:
  
  $$12, 21, 32, 45, 60,$$
  
  $$n^2+6n+5$$
  
  ### Standard Form 5
  
  Multiply 7 × 105
  by 8 × 105 and give the answer in standard form.
  
  = 5.6 × 1011
  
  Solve:
  
  $$x^2-x-12= 0$$
  
  $$x = 4$$ and $$-3$$
  
  Solve this equation giving the solutions to 3 significant figures:
  
  $$5x^2-5x-3 = 0$$
  
  $$x = 1.42$$ and $$-0.422$$
  
  ### Polygon Angles
  
  What is the size of each interior angle of a regular pentagon?
  
  108°
  
  ### Change The Subject
  
  Make $$e$$ the subject of the formula
  $$f=g(e+h)$$
  
  $$e=\frac{f}{g}-h$$
  
  ### Basic Division 1
  
  Calculate the value of:
  
  1041 ÷ 3
  
  = 347
  
  ### Number Sequences 2
  
  What is the 11th:
  a) Cube number; 1331
  b) Triangular number; 66
  c) Fibonacci number. 89
  
  ### Square Numbers
  
  What is the square root of
  
  25
  
  5
  
  ### Prime Numbers
  
  What is the difference between the 5th and the 6th prime numbers?
  
  13 - 11 = 2
  
  ### Last Lesson
  
  Write down something you learnt in the previous mathematics lesson.
  
  ### Last Week
  
  Write down something you learnt in one of the mathematics lessons last week.
  
  ### Angles
  
  Calculate $$x$$.
  
  ### Decimals (Ordering)
  
  Write down these numbers: 6.66, 6.06, 0.66, 6.6, 0.6, 6, 0.06, in ascending order.
  0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
  
  ### Lengths (Ordering)
  
  Write down these lengths: 1.08m, 17cm, 18mm, 1.8m, 107cm, 1.7cm, in order.
  1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
  
  ### Capacities (Ordering)
  
  Write down these capacities: 173ml, 200ml, 21cl, 17cl, 18cl, 18ml, in order.
  18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
  
  h = 75
  
  h = 75
  
  ## A Mathematics Lesson Starter Of The Day
  
  • Jan, South Canterbury
  •
  • Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you.
  • Barbara Schindler, Newton Rigg College
  •
  • I use Refreshing Revision a lot but today all the brackets and fractions keep coming up 'jumbled' . There are curly brackets, part words / 's in odd places and it is impossible to make out the question. It is doing this on 2 computers I have tried. Can you help? thank you.
  
  [Transum: Sorry to hear about this problem Barbara. I have tested it from here and it seems to be working OK. Please take a look at the MathJax FAQ. Many apologies for the inconvenience.]
  • Lesley, UK
  •
  • Answers for the starter would be great so students can get immediate feedback and become independent learners.
  
  [Thanks for your comments Lesley. The answers are only available to signed-in teachers and parents I'm afraid. I you are a subscriber and are projecting this Starter for the whole class to see you can scroll down the page and show the same questions with the answers included in red.]
  • Mrs B, Stockport
  •
  • Refreshing Revision really useful resource, that I have actually used for Ks2 revision as some topics are appropriate. I'd love to see either ks2 version, with purely ks2 SATs level topics or adding them to the current version.
  
  [Transum: Thanks so much for your feedback Mrs B. If you could send me a list of your top ten ideas for topic you would like to see added I will work on it]
  • Mark Adams, St Peters RC School Solihull
  •
  • It would be great if these questions came with answers as well.
  
  [Transum: The answers to Transum activities are available to those signed in to their Transum subscription account. You can sign up for an account here.]
  
  How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
  
  Previous Day | This starter is for 9 April | Next Day
  
  ## Concept Selection
  
  Tick (or untick) the boxes above to select the concepts you want to be included in this Starter. The display at the top of this page will change instantly to show your choices. You can also drag the panels above so that the questions are ordered to meet your needs.
  
  This Starter is called Refreshing Revision because every time you refresh the page you get different revision questions.
  
  Regularly use this Starter to keep that important learning from being forgotten. Here is the web address (URL) for the version of this page with your currently selected concepts:
  
  Copy and paste the URL above into your lesson plan or scheme of work.
  
  For more ideas on revision there are plenty of tips, suggestions and links on the Mathematics Revision page.
  
  Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon link. As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website.
  
  Educational Technology on Amazon
  
  Here is the URL which will take them to a related student activity.
  
  Transum.org/go/?to=topictest
  
  Here's a projectable set of randomly-selected revision questions for the end of the lesson.
  
  Transum.org/Intro/?ID=997
  
  For Students:
  
  For All:
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a comprehensive set of math questions and answers, covering a wide range of topics such as number sequences, factors, multiples, polygons, rounding, area calculations, fractions, percentages, and more. Each section contains a question followed by its answer.
  
  Label: multiple-question-and-answer