Comprehensive Maths Review at Barnwell School – Concepts, Calculations, and Applications
Dive into the vital mathematical concepts taught at Barnwell School. From understanding volumes and conversions to exploring percentages and averages, this guide covers essential skills such as calculating liters, understanding equivalency in fractions, and solving word problems related to real-life scenarios. Students will also learn about the importance of the mean, median, and mode, along with congruence in geometry. With practical applications and detailed explanations, this resource aims to strengthen math fundamentals for all learners.
Comprehensive Maths Review at Barnwell School – Concepts, Calculations, and Applications
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x y (3, 4)+ (4, 1) 7, 5 ÷2 (3.5, 2.5) (3, 4) (4, 1) (3.5, 2.5) 23 26 = 26 52 - 26 Barnwell School Maths Department S Farquharson
Litres/cl Metres/cm kg 1km = 1000m 2500 = 2500 2.5 x 1000 Barnwell School Maths Department S Farquharson
7 4 6 2 5 Barnwell School Maths Department S Farquharson
7 Frequency 6 5 4 3 2 1 0 Cheese & Onion Ready Salted Salt & Vinegar Smokey Bacon Prawn cocktail Barnwell School Maths Department S Farquharson Flavour
Turn them into equivalent fractions Barnwell School Maths Department S Farquharson
50% of 120 = 60 = 6 5% of 120 60 + 6 = = 66 66 Barnwell School Maths Department S Farquharson
55% of 120 = 66 120 – 66 = 54 buckets (45%) For them both to be 50%, they have to have equal amounts of buckets Take 6 from the concrete and put it onto sand, they both have 60 buckets So it is 6 extra buckets 6 Or, you need 5% more of sand 5% of 120 = 6 Barnwell School Maths Department S Farquharson
3 24 Mode is most common 35 Median, because 35 was the top score and only two people received that, so doesn’t represent the class Barnwell School Maths Department S Farquharson
£4.50 ÷ 4 = £4.40 ÷ 2 = £2.25 £2.20 ÷ 2 = £1.125 OR 1. 1 2 5 1 2 £1.13 Barnwell School Maths Department S Farquharson
(2 x 5) (3 x -3) + = 1 + 10 -9 1 2 x (-3 x 5) -15 = -30 2 x -30 Barnwell School Maths Department S Farquharson
Congruent = identical A [ ] translation 5 10 Rotation, 90o anticlockwise, about (13,7) Reflection in the line y = 8 Barnwell School Maths Department S Farquharson
2 +3 = 5 22 Barnwell School Maths Department S Farquharson
3 x 3 x 3 27 2 4 and -4 Barnwell School Maths Department S Farquharson
37 180 – 143 = 37 37 Angles on a straight line = 180o Isosceles triangle, so angles at the base are equal 180o - 37 = 143 71.5 143 ÷ 2 = 71.5 Barnwell School Maths Department S Farquharson
1kg = 1000g 3kg x 1000 = 3000g flour 3000 ÷ 600 = 5 is the multiplier 5 x 16 = 80 cupcakes 80 cupcakes Barnwell School Maths Department S Farquharson
A = x B = x + 1 C = 3(x + 1) 3 x + 3 x + x + 1 + 3x + 3 5x + 4 Barnwell School Maths Department S Farquharson
Area of floor 5m x 4m = 20m2 £15 x 20m2 = £300 Perimeter of floor = 18m 5m + 4m + 5m + 4m Rolls of paper for perimeter of 18m and height of wall, 2.4m = £200 £20 x 10m Total cost £300 + £200 = £500 500 Barnwell School Maths Department S Farquharson