excellence in all we do… elementary 3 are you an elementary 3 master?

Excellence In All We Do…

Elementary 3

Are you an

Elementary 3

Master?

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E3.1Round numbers and measures to an appropriate degree of accuracy


3.1a1) Round 2.9848 to 2 decimal places

2) Round 6.778889 to 3 decimal places

3) Round 1629 to 1 significant figure

4) Round 23893 to 2 significant figures

5) Round 0.0146 to 1 significant figure

Round numbers and measures to an appropriate degree of accuracy

6.779

2000

24000

0.01


E3.2Use approximation through rounding to estimate answers


3.2a1) Estimate the answer to 456 × 12

2) Estimate the answer to 29 × 240

3) Estimate the answer to 1.9 ÷ 0.498

4) Estimate the answer to

5) A football team are taking supporters to the final. They hire

126 coaches and each coach seats 53 people. The cost per person

is £28. All seats are full. Estimate how much it will cost to take all

these supporters to the final.

Use approximation through rounding to estimate answers

6000

4

25

£150000


E3.3Multiply any two positive integers together


3.3a1) Calculate 79 × 497

2) Calculate 873 x 2498

3) A machine makes 298 chocolate bars per hour. How many chocolate bars will be made in 9 hours?

4) The machine works for 9 hours everyday except Sundays. How many chocolate bars will be made in a week?

5) How many chocolate bars will be made in 26 weeks?

Multiply any two positive integers together

2180754

2682

16092

418392


E3.4Multiply any decimal by a one or two digit number


3.4a1) Calculate 6.24 × 19

2) Calculate 0.0346 × 7

3) Tiles cost £1.98 each. Rob buys 89 tiles. How much does Rob pay?

4) Leila can type 79 words per minute. How many words can she type in 2.5 minutes?

5) Mars bars cost £0.68 each. Mrs North buys 18 mars bars for her 18 grandchildren. She pays with a £20 note. How much change does she receive?

Multiply any decimal by a one or two digit number

0.2422

£176.22

197.5

20 – 12.24 = £7.76


E3.5Multiply any two numbers including decimals


3.5a1) Calculate 7.9 × 64

2) Calculate 67.8 × 4.7

3) Calculate 9.3 × 24.34

4) Calculate 56.47 × 8.59

5) A machine makes 1.5 cars per hour. How many cars will be made in 7.25 hours?

Multiply any two numbers including decimals

318.66

226.362

485.0773

10.875


E3.6Understand and use standard mathematical formulae


3.6a1) A taxi firm charges 25 pence per mile and a standard charge

of £2. Write down a formula for the total cost, T, if the taxi travels m miles.

2) A rectangle has a width of w and a length of 2w. Write down a formula for the perimeter, P, in terms of w.

3) A equilateral triangle has sides of length 3u. Write down a formula for the perimeter, P, in terms of u.

4) A small box of sweets contains 12 sweets. A large box of sweets contains 26 sweets. Write down an expression for the number, N, of sweets if I buy p small boxes and q large ones.

5) A triangle has a base of length b and height of length h. Write down the formulae for the area, A in terms of b and h.

Understand and use standard mathematical formulae

P = 6w

P = 9u

N = 12p + 26q

A =


E3.7Find pairs of numbers which satisfy an equation with two unknowns


3.7a1) List all the possible integer values of a and b in the

following equation; a + b = 10

2) List all the possible integer values of c and d in the following equation; cd = 12

3) List all the possible positive integer values of e and f in the following equation; 2e + f = 8

4) How many pairs of values can you find that satisfy the following equation; 10p - q = 10

5) List all the possible integer values of g and h in the following equation; 3gh = 30

Find pairs of numbers which satisfy an equation with two unknowns

0,10 1,9 2,8 3,7 4,6 5,5 6,4 7,3 8,2 9,1 10,0

c,d 1,12 2,6 3,4 6,2, 12,1

e,f 0,8 1,6 2,4 3,2 4,0

Infinite

g,h 1,10 2,5 5,2 10,1


E3.8Use the standard conventions for labelling the sides and angles of shapes


3.8a1) R

Use the standard conventions for labelling the sides and angles of shapes

3


E3.9Derive and apply formulae to calculate and solve problems involving the area of triangles, squares, rectangles and parallelograms


3.9a1) Calculate the area of a square of length 5cm. States the units of your answer.

2) Calculate the area of a triangle with a base of 4m and height of 5m. States the units of your answer.

3) Calculate the perimeter of a rectangle with a length of 6mm and a width of 3mm. States the units of your answer.

4) Calculate the perimeter of a rectangle with a length of 6.7m and a width of 4.5m. States the units of your answer.

5) The area of this rectangle is 30cm2.

Calculate the length l. State the units

of your answer.

Derive and apply formulae to calculate and solve problems involving the area of triangles, squares, rectangles and parallelograms

25cm2

10m2

18mm

22.4m

4cm5 cm

l


E3.10Derive and use the sum of angles in a triangle and quadrilateral


3.10a1) o

Derive and use the sum of angles in a triangle and quadrilateral

2 .


E3.11Apply the properties of angles at a point on a straight line, vertically opposite angles


3.11a1) R

Apply the properties of angles at a point on a straight line, vertically opposite angles

2 .


E3.12Change freely between related standard units


3.12a1) R

Change freely between related standard units

2 .


E3.13Use unit pricing to solve problems


3.13a1) R

Use unit pricing to solve problems

2 .

excellence in all we do… elementary 3 are you an elementary 3 master?

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