Number Starter Split the clock in two so that the sum of the numbers on each half are the same.

Total = 39

Shape Starter Find the perimeter

Shape Starter Perimeter = 26cm (a + b = 3m) Find the perimeter a b

Algebra Starter Five hens sold for as much as two ducks. One hen and four ducks were sold for £44. How much did each bird cost?

H = £4 D = £10

Data Starter This graph is distorted. How is it distorted? What change in its message is achieved by this distortion? How would you fix it?

Number Starter One clock is 3 hours 10 minutes fast One is 5 hours fast One is 2 hours 5 minutes slow. What time is it?

3:15

Shape Starter Two cuboids have a combined volume of 151cm 3 If one cuboid has dimensions 2cm x 4cm x 5cm, Can you find two possible integer dimensions of the other cuboid?

Shape Starter 37cm x 3cm x 1cm 111cm x 1cm x 1cm

Algebra Starter Desmond has lived 1/4 of his life as a boy, 1/5 as a youth, 1/3 as a man, and 13 years in his old age. How old is he?

60 years old

Data Starter If (3,5) is the (x,y) coordinate of the midpoint of a line 4cm long, can you give the coordinates of at least 4 pairs of end points?

Data Starter (Various answers)

Number Starter Which of these amounts can you not make with a combination of 2 pence and 5 pence pieces? 94p 17p 16p 6p 3p £1.03p 41p 13p

3p

Shape Starter E and F are midpoints. What fraction of the shape is shaded?

Shape Starter 3/8 is white, so 5/8 is shaded.

Algebra Starter Write a suitable formula for the area of this shape. 3a 2b

3a 2b

Data Starter Write down 2 facts and 2 comparisons using this chart. How much larger, proportionally is UK income tax to US?

Data Starter 100 x (1 - (24.9/22.7)) = 9.7% (1dp) Confusing huh!?

Number Starter Prime Numbers: 2 and 3 are prime = 5, which is also prime. How many consecutive prime numbers (always starting from …) can be added to equal another prime number less than 100?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, = = = = = = = 119 (>100)

Shape Starter Give the mathematical name for shapes with the following numbers of sides:

Shape Starter

Algebra Starter Write an algebraic expression for the area and perimeter of this shape: 3a 2 8b

4b Perimeter = 3a 2 x 6 = 18a 2 Area = ½ (4b x 3a 2 ) x 6 = 3(12a 2 b) = 36a 2 bc

Data Starter Find the coordinates of the centre of the rectangle Find the gradient of each line. (E and F are midpoints)

Data Starter G = (2.5,3)

Number Starter Here is a smart way to deduce different ways of making 200 using multiplication. Using a similar strategy, find 15 ways of making 1500 using only multiplication.

(various possible answers)

E Shape Starter 2 squares have a combined area equal to a third square. Which are they? *not drawn to scale! A C B Area = 16cm 2 D Perimeter = 24cm 7cm 3cm 4cm

Shape Starter B 2 + C 2 = E 2

Algebra Starter Complete and solve these simultaneous equations: 3x + ? = 7 3x – y = ?

Measurement Starter A ‘hand’ is a unit of measurement to measure the height of a horse. One hand is equal to 4 inches. How many hands equal 50.8 cm?

Measurement Starter 5 hands

Number Starter What is the sum of the Prime Factors of 2, 3, 4, 5, 6, 7, 8, 9 and 10?

2 3 2, 2 5 2, 3 7 2, 2, 2 3, 3 5, 2 Sum = 45 Number Starter

Shape Starter Find these angles: 40 o 60 o xoxo 40 o 50 o xoxo

Shape Starter 40 o 60 o 100 o 40 o 50 o 90 o

Algebra Starter Misconception Mayhem: Below are questions that often make students slip up. Can you answer them all correctly? 1.a + a = 2.2a – a = 3.a x a = 4.2a / a = 5.2a x 2a = 6. (2a) 2 = 7.(a + b) 2 = 8.a 0 =

Algebra Starter Misconception Mayhem: Below are questions that often make students slip up. Can you answer them all correctly? 1.a + a = 2a 2.2a – a = a 3.a x a = a 2 4.2a / a = 2 5.2a x 2a = 4a 2 6. (2a) 2 = 4a 2 7.(a + b) 2 = (a+b)(a+b) = a 2 + 2ab + b 2 8.a 0 = 1

Data Starter This graph is distorted. How? What change in its message is achieved by this distortion? How would you fix it?

Data Starter

Number Starter What is the sum of the first 10 multiples of 12? 1 x 12 = 2 x 12 = 3 x 12 = … 10 x 12 =

660 Number Starter

Shape Starter Divide the white area in A Into halves Divide the white area in B Into thirds Divide the white area in C Into quarters Divide the white area in D into sevenths

Shape Starter

Algebra Starter Multiply out the brackets: (x+1)(2x+2)(3x+3)

Algebra Starter

Data Starter Find the mean, median and mode of this data set:

Data Starter Mean = 85 / 144 Median = 7 / 12 Mode = 2/5

Number Starter D O G G O D + _____ D E E P This is a cryptarithm. What numbers are D, E, G, O and P ?

Number Starter D = 1 E = 0 G = 8 O = 5 P = ______

Data Starter Sketch a proportionately correct graph to show the votes for each party from this year’s election.

Data Starter

Adding Fractions Algebra Starter Complete the following : a2a2 + d = 2a 2 + a2ba2b + = mp + mk mp p p

Algebra Starter Complete the following : 2 2 a2a2 + b b d = 2a 2 + a2ba2b 2d 2a 2 m m + k k = mp + mk mp 1 1 p p

Shape Starter How many triangles are inside this fully connected pentagon?

Shape Starter 35

Number Starter Find a fraction between: 1/5 and 1/6 1/10 and 1/11 1/24 and 1/25

Number Starter (Various possible answers)

Data Starter Three white candles and two black candles can be arranged in a number of ways in a pentagon shaped candelabra. If they’re placed at random, what is the probability that the three white candles will be adjacent?

Data Starter 5/10 = 1/2

Algebra Starter Three consecutive integers are multiplied together, and the middle number is added to the total. E.g. (4x5x6) + 5 = 125 = 5 3 Prove that this is always true, with any set of three consecutive integers.

Algebra Starter

Shape Starter Find the red angle to 2 d.p

Shape Starter 900/7 = internal angle of heptagon (~128.6 o ) So 2 angles of each triangle are 180 o – o = 51.4 o So remaining angle of each triangle (the red angle) = 77.1 o

Number Starter 2 __ 3 __ 4 __ 5 = Using +, - and x once each, find as many different solutions as you can. You may use brackets.

Number Starter Various answers possible.

Data Starter A standard six sided die has each number replaced with the first six prime numbers. If the die is rolled twice, find the probability of scoring an odd total.

Data Starter 2, 3, 5, 7, 11, 13, Can only be odd if a 2 is rolled either first, or second. (1/6 x 5/6) + (5/6 x 1/6)

Algebra Starter

D

Shape Starter Draw the following: ABCD is a parallelogram. E is the midpoint of AB. Line ED intersects line AC at point F.

Shape Starter (Possible Answer) E F

Number Starter Choose 4 consecutive numbers Create and solve as many subtraction questions as you can from these 4 numbers e.g. 3, 4, 5, 6 3 – 4 – 5 – 6 = 3 – 5 – 4 – 6 = … etc What do you notice?

Number Starter Various patterns e.g. Keeping the first number fixed means others can be put in any order and the answer is always the same. Max / Min answers…

Data Starter Explore the data at the linkdata at the link Write down 5 things that the data is telling you.

Data Starter Various possible answers

Algebra Starter Circle any collection of terms and draw in a valid relationship between them (one example is done for you)

Algebra Starter Various possible answers. Puzzle taken from

Shape Starter Write down anything you notice about these triangles:

Shape Starter (Possible Answer) They all have the same area

Number Starter What is the missing number?

Number Starter 68 (sum of primes in each picture)

Data Starter If two coordinates of a square are (1,1) and (3,3) What could the other two coordinates be?

Data Starter (Any of these)

Algebra Starter Write an algebraic representation of the following (using only one ‘unknown’): The mean average of 4 consecutive numbers The median average of 4 consecutive numbers

Algebra Starter Various possible answers depending on what is decided as ‘n’ e.g. (4n+6)/ 4

Shape Starter Write down anything you notice about this shape:

Shape Starter Various answers It’s a decagon It has internal angles of 144 o It is made up of 10 isosceles triangles Each isosceles triangle has angles 72 o, 72 o and 36 o etc

Number Starter Complete these addogons

Number Starter

Coordinates Starter Find the x and y intercepts, gradient and midpoint of the line with start and end points (-2, -3) and (1, 6) respectively

Coordinates Starter Gradient = 3 Y intercept = 3 X intercept = -1 Midpoint = (-0.5, 1.5)

Algebra Starter

b = (2a)/h

Shape Starter Which of these nets will make a cube?

Shape Starter 1, 2, 5, 7 * technically 6 would make a cube but one square would go over another

Number Starter

Data Starter – why are these dreadful?

Data Starter Many, many reasons for each.

Algebra Starter ① (2x-1) 2 ② 3x 3 ③ 2 x a)x= -1 b)x= 0 c)x= ½ Which substitutions into which equations will create answers that are not between 1 and 3?

Algebra Starter 1a) 2a) 3a) 2a) 2b) 2c) 3a)

Shape Starter

Starters 5 th July Taken from aplusclick.com

Number Starter

All give the same answer

Data Starter

Algebra Starter

Shape Starter

186 X /4 of this + 387/13 of this - 89÷ 3+ 12X 5Ans: ÷ % of this + 6X /4 0f this - 67Ans: 6 Times itself + 15÷ 3- 9X 5+ 4÷ X 2Ans: Number Starter

Shape Starter

Algebra Starter

1.16a 2.28a 3.16ab 4.18ab 5.c 2 6.4c 2 7.4abcp 8.12a a 2 b 10.9a 2 b 2 c a 2 b 12.16a 13.36a 14.6ab 15.9acp

Data Starter Find the missing coordinate for these shapes: Parallelogram ABCD: A = (0,0) B = (2,2) C = (6,2) D = ? Rectangle EFGH: E = (-3,3) F = (-1, 3) G = (-1, 2) H = ? Kite JKLM J = (3,7) K = (4,5) L = (3,4) M = ?