Download MODULE 3 FOUNDATION

MODULE 3 FOUNDATION
objective
follow heirarchy of operations (BIDMAS)
round to given power of 10
addition and subtraction of up to 4 digit numbers
long division and multiplication by single digit number
add and subtract fractions
(-3 x 5) x -2 = 30
45 281 ≈ 45 300 (to nearest 100), 7.3782 ≈ 7.38 (to 2d.p.)
167 + 25 = 192; 300 - 163 = 137
231 x 4 =924; 417 ÷ 3 = 139;
5
/6 - 3/4 = 1/12
equivalent fractions
cancel 15/35 to lowest terms: 3/7. Write 2/5 as twentieths: 2/5 = 8/20
convert to and from top heavy fractions and mixed numbers
2 1/2 = 5/2 ; 10/3 = 3 1/3
find a fraction of a quantity
1
multiply fractions
write one quantity as a fraction of another
convert between fractions and decimals
multiply and divide negative numbers
add and subtract negative numbers
identify factors and multiples of a number
be able to identify a prime number
be able to calculate square roots
use prime factor decompostion to calculate LCM and HCF
multiply and divide by powers of 10
long division and multiplication by two digit number
addition and subtraction with decimals
multiply and divide decimals by single digit number
simplify ratios
dividing amounts into given ratio
finding missing amounts using ratios
speed, time and distance
unitatry method
best buys
equivalent percentages, fractions and decimals
calculate a percentage of a given amount
percentage change
write one quantity as a percentage of another
use index laws to simplify or evaluate expressions
Convert recuring decimals to fractions
plot gradratic graphs and use graphs to solve equation
4
/5 of 20 = 4; 4/5 of 20 = 16
3
2
/9 x /10 = /15
12 out of 30 days = 2/5
2
1
/10 = 0.2; /3 = 0.3333…
3 x -4 = -12; -24 ÷ -6 = 4
5 - -4 = 9; -5 -3 = -8
factors of 24 are 1,2,3,4,6,8,12,24; first 5 multiples of 6 are 6, 12, 18, 24, 30
list all prime numbers between 40 and 50
√25 = 5; √2500 = 50
60 = 22 x 3 x 5
0.678 x 10 = 6.78; 0.0324 x 104 = 324
358 x 74 = 26 492; 840 ÷ 24 = 35
4.72 + 13.53 = 18.25; 7.3 - 1.5 = 5.8
4.5 x 3 = 13.5; 8.25 ÷ 5 = 1.65
5:20 = 1:4
share £40 in the ratio 2:3; £16 and £24
An amount is shared in ratio 3:5, 1st amount is 210, what is 2nd amount? 350
Calculate one value given 2 of the others. How far traveled if go at 60 mph for 3.5 hours? 210 miles
If 8 pens cost £2.64, how much do 5 pens cost? 1 pen is 33p so 5 pens cost £1.65
Which is best: 800g for £1.60 or 2.5kg for £4.75? 1st is 5g for 1p, 2nd is 5.26g for 1p
35% = 0.35 = 35/100 = 7/20
12% of 80 = 9.6
to calculate 4% increase x 1.04; to calculate 23% decrease x 0.77
12 out of 30 days = (12 ÷ 30) x 100 = 40%
2
4
6
5
4
2 3
6
a x a = a ; a ÷ a = a ; (a ) = a
7
0.777777… = /9