NUMBER

Grade G - Number Grade G - Algebra Grade G - Shape, Space & Measures Grade G - Handling Data



write 50 million in figures write down next term of linear sequence: 3, 7, measure a line (to 2mm accuracy) selection of 2 data from pictorial bar chart, then

write down the number nine thousand and 11, 15, ..... draw a circle of diameter 8cm (to 2mm) calculate 'their' 1454 - 481 ft

seventy-three write down the 10th odd number, given the 1st 5 mark mid-point of the line AB identify item from pictorial bar chart, after

write 4729 to nearest 10 and to nearest 100 odd numbers mark point P on the circumference of a circle calculation of 175m x 3

warmest place from a list of – and + temperatures continue a sequence of diagram patterns draw a line parallel to and one perpendicular to a interpretation of pictogram, scale 1 rail = 30min

select two numbers with a total of 100, from nine given shapes of 6, 11 and 16 matches, draw the given line difference in time, shown by 2 journeys on a

2-digit numbers, select two numbers with a 4th shape name shape: parallelogram, cuboid, cylinder, pictogram

difference of 50, from nine 2-digit numbers complete table for 4th and 5th shapes rhombus, hexagon, isosceles triangle draw a pictogram: scale of symbol, whole

what is the highest number by multiplying. any of what patterns are noticed in the 'number of draw a sketch of a square-based pyramid symbols, part symbol

two numbers, selected from nine matches' row sketch and name a trapezium from written interpretation of simple bar chart: how many

place value of 6 in the number 386297 use a formula in words: total pay = rate per hour description pupils absent on Friday, and total

select from a list the factors of 36 x no. of hours + bonus stating 'congruent' for identical shapes draw bar chart from freq. table: scale & column

arrange 4 digits to make the largest/smallest write down co-ordinates of point in 1st quadrant: which of 9 shapes are congruent to each other (1 heights

write down all the factors of 15 (6,1) pair) explain difference between two years from a dual

select: a square, a multiple of 7 and factors of 56 recognise net of simple solid bar chart

from a list of 7 numbers find area of 10 x 10 square, by counting squares complete tally chart (grouped) and frequency,

reading everyday scales find area of 'L' shape, by counting 9 x 9 squares from 40 discrete data

write down fraction of shape shaded and 100 - 81 complete frequency column (10), given tallies

write down percentage of shape not shaded estimate area of irregular shape by counting identify most popular day from a dual bar chart

write 1/4 as a decimal, write 0.2 as a fraction, squares and part squares identify most popular sport from frequency table

write 30% as a decimal, perimeter of shape by counting sides of squares find which colour a spinner is least likely to land

write 1/4, 0.2, 30% in ascending order find volume of shape by counting cubes, plus on

equivalent percentage: 1/2 = 0.5 = ? % state units write down mode from a bar chart

equivalent fraction: ? = 0.75 = 75% draw line of symmetry on chevron find mode and median of 15 single digit test

which fractions (from list) are not equivalent draw reflection of shape about mirror line, on results

work out 600 - 327 cm2 grid, by counting squares probability words e.g. uncertain, impossible, etc.

estimate 97 x 6.2, write down co-ordinates in 1st quadrant, e.g.

estimate how many £2.85 in £15 (1,4), (4,0)

write length & width of 2 rectangles using 36 what metric unit is used for: length of foot,

squares weight of bird, distance from London, spoon

16 x 6 or 132/6 recognise an acute/obtuse angle

complete shopping bill: 2.5kg at 36p/kg, 3 name chord, radius, etc.

packets at £1.54/pkt, plus total; 1 saver point is

given for every £5 spent, how many saver points

for above,

interpreting a letter postage chart: cost of a 1st

class 230g letter; 3 letters of 220g each 2nd

class; one letter 1200g and one of 1kg

what change from £5 when buying 4 items at 56p

each, 4 items at 30p each

calculate change from £5: £5 - (£1.15 + £1.08)

how many £3.49 books can be bought for £20

distances between towns using a mileage chart

calculate bill given 2 meter reading and charges

25% of 8

Grade F - Number Grade F - Algebra Grade F - Shape, Space & Measures Grade F - Handling Data



place value of 6 in answer of 5630x10, 6 in output from 2-operations rule: x2 then +1: with 3 measure or draw an angle (± 2°) in a triangle calculate the range of 5 numbers

answer of 5630/10 as input name reflex angles calc. the mean of 10 numbers: 27, 35, 28, 25, 28,

write down value of 42 inverse of rule: number multiplying. by 3, add 7, measure & scale a line (to 2mm) (the mark 37, 31, 28, 27, 34

write down the square root of 10, the square root result is 40, what was the number available will depend on scale) write down range from a bar chart

of 65 n represents a whole number. What type of whole scale drawing of ladder against wall, 4cm:1m, write down mode from a discrete frequency table

estimate the square root of 85 number is 2n? with dimensions 1m and 4m calculate total frequency from discrete frequency

write down value of 2.22 find number of matches for 9th pattern, with 1st metric and imperial units conversion: pounds to distribution

write 1/4, 0.2, 30% in ascending order 3 given, and 4th & 5th found kg, pints to litres, or vice versa (the mark and the read off, add and compare values from dual bar

estimation of fractional part from a sectional bar given 112 - 102 = 21, complete 102 - 92 = ? and 92- level available will depend on the factor used, chart, to test given statement

chart ? = ?? and the type of calculator) interpretation of a pie chart: measure angle,

plot points for conversion graph write down next term of non-linear sequence. estimate length of whale, from estimating height what fraction, how many hours

interpret conversion graph Give term-to-term rule in words. of man (see Joint Council e.g.) use of prob. scale, 0 to 1, for throw of die: 5, 350 winning) = 150/500;

the final salary find p, given p = 3r (and r = 3.5 previously) state line (0) & rotational symmetry (3) of probability(girl may win) is not 1/2, why not

60% of 80, 4% of 300 use simple formula: p = 2L + 2W, when L = 12, W Natwest logo list all outcomes from two independent.

375 x 54 =5 add 1 square to complete shape with 1 line of experiments

756/36, 500/36 with interpretation of remainder solve equations: 5x = 15 and x + 4 = 11 symmetry find median of 16 single digit test results (even

problem involving simplify a + 2a + 3a add 1 square to complete shape with rotational number)

reduction of fraction to lowest term substitute (a=3, b=4) into and evaluate 2a + 3b symmetry order 2

£10 to buy roses at 65p each, how many roses substitute (a=3, b=4, c=1/2) into and evaluate a - give scale factor of an enlarged rectangle

does she buy and what change b - 6c find area of a kite, drawn on cm2 paper, and

what change from £5 when buying 4 items at 56p plot co-ordinates of 2 points, in the 4 quadrants: state units

each (-6,1) and (0,-2) plot the point (-1,-4) on map (in 4 quadrants)

calculate change from £5: £5 - (£1.15 + £1.08) plotting points from C/F temp. conversion. table, sum of 3 angles on straight line

negative numbers (add/subtract): map of C in 5s -5 to 40, F scale hard,& line work out area of 4m by 5m rectangle and

temperatures: differences in temperatures reading from conversion graph: change 50F to C perimeter

decimal places: write down 34.04819 to 3 d.p., to

2 d.p. and to 1 d.p.

use of decimals from hire problem: 13.75 + (2.25

x 3): knowing what to do

length & width of two rectangles, with area of 72

tiles

Grade E - Number Grade E - Algebra Grade E - Shape, Space & Measures Grade E - Handling Data



calculate 'the cube of 5' and 26 write down next two numbers in the sequence measure bearing from one place to another, calculate the 'fx' column from a frequency

work out: 43, 23 x 32 21, 20, 17, 12, ...... go into negative acute and obtuse distribution

work out 1/0.42 Matchsticks pattern. Given 3 diagrams, how many reflect a triangle in the y-axis draw pie chart (circle given) from weekly sales,

select: a cube number & a prime from list of 9 2- needed for diagram 5? Explain complete crossword pattern, rotational data taken from bar chart

digit numbers write down the 5th line in pattern: 112-102=21, symmetry. order 4, with 1/4 (corner) given construct a pie chart, with 4 or more sectors,

work out 0.3 x 0.2, 3.4-1.58 102-92=..., 92-..., does (a given regular hexagon) tessellate? Explain given circle & start line

find 2.22 + the square root of 3.4 output from 2-operation rule: input -2 , add 5 , answer interpret a stem and leaf diagram to find

hire cost is 13.75 for 1st day + 2.25 per multiplying. by 2 metric and imperial conversion: what speed in median/range

additional. day. Total £25. How many days which of 'always even', 'always odd', 'could be odd km/h is 70 mph? (5/8 not given) (the mark and interpret a time series graph

0.6kg grapes and 0.5kg apples cost £1.36. Grapes or even' describes the number 3n+1? Explain the level available will depend on the factor comparison of mean & range for two

£1.45/kg. How much per kg for apples? (multi- simplify 2a + 5b + a - 2b used) distributions, one set given

step) write expression from problem: 8 buttons per find third angle in right-angled triangle identify, as a 2-way table, all outcomes from two

write 0.6, 11/20 and 7% in ascending order of shirt, x shirts, how many buttons; twice as many find exterior angle of quadrilateral, given 3 independent experiments

size & show working blouses as shirts, expression for number of interior opposite angles probability of scoring a total of 3 from table

work out 62% of 4.2 blouses; each blouse has 6 buttons, expression for find base angle & exterior angle of isosceles (1/25)

what fraction of £800 is left after deducting 1/4 number of blouse buttons triangle, given apex angle of 108 probability of scoring a total of more than 8 from

of £800 and 1/5 of £800 solve x/3 = 10 show that exterior angle of triangle = sum of table (6/25)

which of the following fractions is nearest to 1/2: solve equation: 5x - 3 = 7 or 2x + 3 = 8 interior opposite angles bag of 4 x T, 6 x M and 5 x C. What is the

7/10, 11/20, 13/30, 21/40. Show how you decide use formula P = 2L + 2W to find W given P and L what is height of cuboid, given volume, length probability of taking one M?

work out 2/3 x 1/4 find the value of 4x + 2y when x = -2 and y = 3 and breadth simple mutually exclusive: probability(girl has

5/8 as a decimal or a percentage complete table for y = 3x - 2 and draw graph on isometric grid, draw this cuboid full size, and blue eyes) = 0.2, probability of not = ?

exchange rate of £1=2 euros. L changes £250 and read from conversion graph for negative value label dimensions

C changes £200 interpret horizontal lines on a distance/time give the dimensions of another cuboid box which

coming back: £1=3 euros. L has 1500 euros and C graph will just hold these 24 cubes

has 1100 euros distance/time graph: how far is travelled in first find volume of water in container, 30cm by 30cm

exchange rate £1=2 euros. Sun block costs 19 ten minutes by 20cm depth

euros. Cost in £p draw the line y = 1 the water freezes to ice of depth 21.6cm, calc.

simple interest: calculate amount for £1500 volume of ice

invested for 3 yrs at 8% p.a., enlarge a shape by scale factor 3 on a cm2 grid

work out from rail timetable the time for a write down the measurements of rectangle

journey enlarged three times its dimensions

find the cube root of 27 how many times bigger is area of enlarged

Statement e.g. even number+ any number =even rectangle than area of small rectangle

number Told incorrect, give example why draw triangle to scale: 600m, 500m, 450m to

multiplication/division of 2 negative numbers scale of 1cm to 50m

significant figures matchbox cube, prism, pyramid (not

3/10 - 1/5 tetrahedron), cone & tetrahedron with definitions

show how 2 congruent scalene triangles put

together can make an isosceles triangle

use a map and scale to measure and find distance

plot a point given bearing (obtuse) and distance

work out area of 4.6 by 5.2 rectangle and

perimeter

Grade D - Number Grade D - Algebra Grade D - Shape, Space & Measures Grade D - Handling Data



estimate value of 39 x 203 / 77 write down first 3 terms where nth term is n2 + 4. measure bearing from one place to another, plot 4, 6 or more points of scatter diagram on

estimate the answer to 4.7 x 20.1 / (5.8-1.9) Explain your answer. reflex angle given grid

find (2.2 x 3.7) / (4.5 - 1.9), to 1 d.p. output from 2-operation rule: input n, multiplying draw bearings (042 and 300) from 2 places, to interpreting points on a scatter diagram

given that 87 x 132 = 11484, find 11484 / 870 by 2 then subtract 3 locate 3rd on scale diagram draw line of best fit on given scatter diagram

price of TV was £480. It is reduced by 15%. substitution in C = (A + 1)D / 9, when D = 30 and describe fully a transformation: reflection in y = 1 draw grouped frequency diagram (0-9, 10-19,

Calculate the sale price A = - 7 (Non-calculator only) describe fully a transformation: rotation, 1/4 etc.), no scales given

what is selling price of article bought for 25p, write down expression for total cost of x lollies at turn, about origin what is modal class interval from grouped

and sold for 40% profit 80p and y lollies at 60p each reflect a shape in line x = 3 (line given) frequency diagram, equal intervals

gas bill: 7295 units at 1.52p/unit and standing from problem: write down, in terms of x, total reflect a shape in line x = 3 (line not given) calculate the mean of a discrete frequency

charge of 10.39p/day for 92 days how much is the no. of buttons from shirts & blouses translate shape 3 right, 4 down distribution

total bill, including VAT of 5% write down algebraic equations for: g lollies at rotate a triangle ABC anticlockwise 900 about the design observation sheet to record colours and

difference in cost between £7.50 + 17.5% and 80p and 2 at 60p cost £10.80, & solve origin, and label it types of vehicles passing, (a two-way table is

£8.75 incl. VAT using tiles of width x and length x + 15, forming a enlarge shape by scale factor 2 from given centre expected for 3 marks)

90 out of 200, as a percentage 2 by 5 rectangle, express the length & width of A invent suitable data for 20 vehicles and fill in

what percentage is £48 of £150? rectangle in terms of x. If it is a square, then reflection symmetry of 3D shapes your sheet

comparison of costs in euros, dollars form an equation & solve find alternate/corresponding angle, given two explain why sample of 90 pupils may not be

John's cat eats 2/3 of tin of food each day. What given sketch of quadrilateral showing angles of parallel lines representative of the town

is least no. of tins for 7 days xo, 82o, 2xo, 107o. Work out value of x find apex angle in chevron, using angle props of explain why given question is not suitable for

list of ingredients for 30 biscuits. Calculate solve equation: 6x + 5 = 7 + 2x parallelogram survey

ingredients required for 45 biscuits solve equations: 3(z - 4) = 30 angle at centre of regular pentagon: 360/5 = 72 give 2 reasons why given questionnaire should not

recipe gives 350F. Using C=(F-32)x5/9, change to solve 3(2z - 5) = 30 interior angle of regular pentagon: 180 - 72 = 108 be given out at local gym

C, to nearest degree multiply out 3(x + 2) or 5(x - 2) interior angle of regular hexagon, explain why it mutually exclusive: 0.6 + 0.15 + ? + 0.15 = 1 from

which of the following fractions is nearest to 1/2: factorise 6a + 8 is 120 probability distribution table

7/10, 11/20, 13/30, 21/40. Show how you decide factorise x2 - 3x find area of a triangle what is probability of at least 45 matches in a

simple ratio: £96m shared in ratio of 4:1. factorise the expression a2 - a find area and perimeter of compound rectilinear box, from table (4/10 + 1/10)

share £140 in the ratio 6:1 dist/time graph: what is average speed (km/h) 'C' shape, including units construct a stem and leaf diagram (ordered)

2/3 - 1/4 over first 2 hours or ½ hour, at what stage is she find area of a cross-section: hexagon, like child's profit from game: 200 people at 20p, (48) people

calculate average speed for 200 miles in 2h 30min cycling at the fastest average speed drawing of house win at 75p

complete table of y = x2 + 2 for x = -1 and draw which shape of equal sides x, has perimeter of 3x using probability to estimate from a population:

graph area of a trapezium, plus units: 22.5(17 + 28)/2 6/25 x 200

draw graph of y = 3x - 2 (no further structure) cm2 using line of best fit to estimate missing value

y=x + 2 crosses y = 1 at P. Find coordinates of P make accurate drawing of rhombus given all sides

6cm & shorter diagonal 7cm

calculate circumference of pond, given r = 3m, to

appropriate degree of accuracy

calculate area of circle, given r = 3.5cm, and

state units

circumference of circle, given diameter of 9m

area of circle, plus units, given diameter of 9m

draw (on cm grid) front elevation of a solid

change 3.2m2 into cm2

Grade C – Number Grade C - Algebra Grade C - Shape, Space & Measures Grade C - Handling Data



prime factors expressed as indices: 72 = 3 2 x 23 simplify indices: t3 x t5, m2 / m6, a3 x a2 / a loci: PQ=5cm, shade in region s.t. distance from describe strength and type of correlation

write 24 as product of prime factors, LCM of 24 expand and simplify: 3(x + 2) + 5(2x - 1) or 3(x + P distance Q explanation of the use of the line of best fit

and 54, HCF of 24 and 54 2) - 5(2x - 1) loci: closer to A than B, closer to AB than AC, complete a relative frequency table from an

estimate 610 x 4.98 / 0.213 (division by number simplify 3(2m - 3)-2(3 - m) radius from A > 2km experiment with two spinners

between 0 and 1) expand: x(x2 - 5) angle at line bisector is 90° relative frequency as a probability: 1100 out of

estimation of calculations by rounding: (2 x solve: 5x + 17 = 3(x + 6) , (15 - x) / 4 = 2, x/4 + 3 angles in a dodecagon drawn round the hexagon sample of 2000 as 1100/2000

623.25) / (12.6 + 87.22) =7 using squares & triangles using probability to estimate from a population:

If 2x3 = 54, what is x? write down nth term for sequences 3, 6, 9, 12 exterior angle of regular polygon is 30o. Find 1100/2000 x 65 000 000

Reciprocal of 0.4 and for 3, 7, 11, 15 number of sides. how many blue eyes in a school: 350 x 0.2 + 450 x

£400 in ratio 5:3 nth term of a series of diagrams where pattern is area of square frame round circle, given diameter 0.24

£412 in ratio 5:3 2 x 1, 3 x 2, 4 x 3, … of 12cm, to appropriate acc mean of grouped data, no mid-points indicated

£5000 in ratio 10:8:7, how much does each one formulating & solving linear equations: x + x + 3 + change 3.2m3 into cm3 mean of grouped data, directed to mid-points

get x + x + 3 = 32 from a problem find total perimeter of semi-circle, diameter work out the class interval which contains the

work out in context 3 1/3 + 1 3/4 trial and improvement (cubic): x3 + x = 12, to 1 10cm median

% increase from 51kg to 58kg d.p. find area of semi-circle, diameter 10cm draw a frequency polygon, grouped data

calculate % increase in volume from water rearrange linear formula: t = 7p - 50 to p = Pythagoras design one question for questionnaire, with

(18000cm3) to ice (19440cm3) complete table of y = 2x2 - 6x + 7, for x = -1 and x volume of parallelogram-based prism response section, based on situation

bounce of ball which rises 80% of previous height: = 2, draw graph of y = 2x2 - 6x + 7, for x = -2 to 4, calculate volume of triangular prism, (includes probability of getting '3' or '4' on a square

start height 3m, height of second rise? draw line y = 12 to find x values of points of Pythagoras to find height), spinner, given probabilities of 1, 2, 3, 4

compound interest: total amount on £1500 for 3 intersection, & write down equation in x with volume of cylinder, plus conversion of cm3 to probability of obtaining a head (coin) and a six

yrs at 8% per annum, to nearest penny solutions as found above litres, given diameter (dice), showing all your working

compound interest: total amount on £500 for 2 solve simple inequalities: 5 3, y > 2x - 2, y

0

solve inequalities: 26 + n > 4n - 7

re-arrange 3(w + y) = 5y + 7 to w=

re-arrange p = (q/r) + s to q = …

make P the subject of V=√(PR)

Grade A - Number Grade A - Algebra Grade A - Shape, Space & Measures Grade A - Handling Data



evaluate 250.5 x 7-2 simplify the expression: (2yx3)4 sine / cosine / tangent to find a side explain why, by taking every 10th person will not

evaluate 161/2 write x-2, x, x0.5, 1/x in ascending order, (x>1), cosine rule, using 'their' side give a random sample

rationalise the denominator of surd hence if 0 < x < 1, then what is effect on the use of cosine rule: distance between 2 ships, taking a 10% representative sample from 200

maximum possible total length of 154mm + order given their distance & bearing from P mixed pupils in each of years 7 to 11

87mm, both to nearest mm form & manipulate equations: 12 / x + 12 / (x-2) use of sine rule, to find height, using two angles explain how to find a stratified sample

maximum possible value of difference in length = 3.5 to 7x2 - 62x + 48 = 0 of elevation construct a histogram (unequal class intervals)

between 154mm & 87mm, both to nearest mm factorising and solving quadratic: 7x2 - 62x + 48 = sketch of y = sin x (0 < x < 360) [Non- comparison of 2 histograms, 1 own drawn and 1

0 calculator only] given, with reasons

simplify algebraic fractions with quadratics as sketch of y = cos x (0 < x < 360) [Non- given a histogram, estimate the proportion that

numerator and denominator calculator only] lasts longer than 'mid-modal class'

forming a quadratic equation, using perimeter, alternate segment selection of appropriate average value & reason

length and area of a rectangle length of major circular arc: r = 20cm, angle = 45 combined probability of independent events

Given compound shape with dimensions of type volume of top cone of a truncated cone use a tree diagram to find probability of at least

ax + b and numbers, show that area is a prove that 2 triangles are congruent one of A or B

quadratic equation (equation given) proof of construction theorems calculate probability that both Anna & Bryan pass

solutions to quadratic equation x2 - 2x - 1 = 0 by prove a result in circle geometry their test

the formula mathematically similar rolling pin with dims 1.2 calculate probability that only one of them passes

w inversely proportional to f and w = 1000, f = times longer, calculate volume of larger pin the test

300. When f = w, then w = ? volume of similar cylinder: half dimensions has

y is inversely proportional to x2 and y = 12, x = 3: volume 50cm2, what is volume of larger cylinder

express y in terms of x volume of hemispherical end of rolling pin, plus

calculate y when x = 6 and x when y = 27 cylinder handle and total vol.

solve equation graphically: given graph of calculate distance between (2,1,-3) and (1,4,4)

y = x2 - 2x - 4, solve x2 - 2x - 4 = 2x +1 calculate space-diagonal (HB) of cuboid

simplify x2 - 2x - 4 = 2x + 1 to x2 - 4x - 5=0 vector geometry: OA=a, OC=c, CM=MB: write in

what drawn line would solve x2 - x - 8 = 0 terms of a and c, AB, CM & AM

substituting y = x + 7 into x2 + y2 = 25 to show that multi-stage trigonometry, e.g. using 2 adjacent

x2 + 7x + 12 = 0, find coordinates of points of right-angled triangles

intersection

find equation of line through (0,3) perpendicular

to line y = 2x

rearranging a formula with variable given twice:

p=100(s-c)/c to c=

factorise a2 - 16b2

factorise 2a2 - 18b2

prove that the product of n(n+1)(n+2) must be a

multiple of 6

Grade A* - Number Grade A* - Algebra Grade A* - Shape, Space & Measures Grade A* - Handling Data



hoist can lift load of 1400kg to 2s.f. How many given sketch of y = x2, sketch y = x2 - 1, y = (x + use of sine rule in difficult problem: the position Given 4 black and 2 white socks, what is the

80kg (2 s.f.) cases can it lift 3)2, y = 3x2 of ship A relative to ship B probability of a pair of socks if 2 are taken at

(3 - √5)2 in the form a + b√2 given sketch of y = f(x), sketch transformed y = 2-triangle bicycle frame: isosceles. triangle and random out of drawer?

r2 = 5 / 2x2. Find x when r = 10. f(x)-2, y = 3f(x), y = f(2x) cosine rule (multi-stage) probability, without replacement: 2 black and 3

given that p = √5 and q = √10 simplify following by drawing appropriate. lines on y = x3 - 5x + 2, use graph to find solutions of sin x = -0.65 and white discs, in a game

q/pr, pq - 1, (p + q)2 solve equation x3 - 5x - 8 = 0 5sinx = 2 probability, without replacement: 4 red, 5 green,

Will 42mm square pegs (nearest mm) fit into by drawing appropriate. lines on y = x3 - 5x + 2, interpretation of cosine graph to solve cos x = - 3 yellow; both yellow; both different

30.1mm (3 s.f.) radius round holes? solve equation. x3 - 7x + 1 = 0 0.5

82/3 solve 2 / (x + 2) + 3 / (2x - 1) = 1 sketch of h = 5 sin (30 t) for 0 < t <12

solve y = 2x - 7 and x2 + y2 = 61 solutions of cos x = -0.5 by calculation

write x2 - 10x + a in form (x + b)2. Find a and b solutions of 8 cos x = -3 between 0°< x <360°,

find minimum value of y = x2 - 10x + 20 (after by calculation

completing the square) find volume of cone, given net with r=22cm

simplify (x2 + 2x)/(x2 - 4) (unstructured) (slope) and cut angle of 45

given cylinder radius x and height 4x has same find volume of frustum of a cone

surface area as sphere radius r. Show that r2 = OA = a, OB = b. D is point such that AX:XB = 2:3.

5/2x2 Find OX

prove algebraic fractions such as (n + 1)/n – n/(n + What does this tell you about points O, X and Y

1) = 2n(n + 1)/n(n + 1) vector geometry: trapezium ABCD, with AB =

2DC, AB = p and DA = q, express in terms of p and

q: AC and CB

calculate angle between HB (space-diagonal) and

the base

given f(x) draw f(2x), f(x)+2, etc.