Transcript Excellence In All We Do…

Elementary 3
Excellence In All We Do…
E3.1
Round numbers and
measures to an
appropriate degree of
accuracy
Excellence In All We Do…
3.1a
Round numbers and measures to an
appropriate degree of accuracy
1)
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
2.98
6.779
2000
24000
0.01
Excellence In All We Do…
E3.2
Use approximation
through rounding to
estimate answers
Excellence In All We Do…
3.2a
Use approximation through
rounding to estimate answers
1)
Estimate the answer to 456 × 12
5000
2)
Estimate the answer to 29 × 240
6000
3)
Estimate the answer to 1.9 ÷ 0.498
4
4)
Estimate the answer to
21.4 × 4.92
3.8
25
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
£150000
these supporters to the final.
Excellence In All We Do…
E3.3
Multiply any two
positive integers
together
Excellence In All We Do…
3.3a
Multiply any two positive integers
together
1)
Calculate 79 × 497
39263
2)
Calculate 873 x 2498
2180754
3)
A machine makes 298 chocolate bars per hour. How
many chocolate bars will be made in 9 hours?
2682
4)
The machine works for 9 hours everyday except
16092
Sundays. How many chocolate bars will be made in a
week?
5) How many chocolate bars will be made in 26 weeks?
418392
Excellence In All We Do…
E3.4
Multiply any decimal by
a one or two digit
number
Excellence In All We Do…
3.4a
Multiply any decimal by a one or
two digit number
1)
Calculate 6.24 × 19
118.56
2)
Calculate 0.0346 × 7
0.2422
3)
Tiles cost £1.98 each. Rob buys 89 tiles. How much
does Rob pay?
£176.22
4)
Leila can type 79 words per minute. How many
words can she type in 2.5 minutes?
5)
197.5
Mars bars cost £0.68 each. Mrs North buys 18 mars
bars for her 18 grandchildren. She pays with a £20 20 – 12.24 = £7.76
note. How much change does she receive?
Excellence In All We Do…
E3.5
Multiply any two
numbers including
decimals
Excellence In All We Do…
3.5a
Multiply any two numbers including
decimals
1)
Calculate 7.9 × 64
505.6
2)
Calculate 67.8 × 4.7
318.66
3)
Calculate 9.3 × 24.34
226.362
4)
Calculate 56.47 × 8.59
485.0773
5)
A machine makes 1.5 cars per hour. How many cars will
be made in 7.25 hours?
10.875
Excellence In All We Do…
E3.6
Understand and use
standard mathematical
formulae
Excellence In All We Do…
3.6a
1)
Understand and use standard
mathematical formulae
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.
𝑇 = 2 + 0.25𝑚
2)
A rectangle has a width of w and a length of 2w. Write down a P = 6w
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 N = 12p + 26q
number, N, of sweets if I buy p small boxes and q large ones.
5)
1
A triangle has a base of length b and height of length h. Write
A = 𝑏ℎ
2
down the formulae for the area, A in terms of b and h.
P = 9u
Excellence In All We Do…
E3.7
Find pairs of numbers
which satisfy an equation
with two unknowns
Excellence In All We Do…
3.7a
1)
2)
3)
4)
5)
Find pairs of numbers which satisfy
an equation with two unknowns
List all the possible integer values of a and b in the
following equation; a + b = 10
a, b 0,10 1,9 2,8 3,7 4,6 5,5 6,4 7,3 8,2 9,1 10,0
List all the possible integer values of c and d in the
following equation; cd = 12
c,d 1,12 2,6 3,4 6,2, 12,1
List all the possible positive integer values of e and f in
the following equation; 2e + f = 8
e,f 0,8 1,6
2,4 3,2 4,0
How many pairs of values can you find that satisfy the
following equation; 10p - q = 10
Infinite
List all the possible integer values of g and h in the
g,h 1,10 2,5 5,2 10,1
following equation; 3gh = 30
Excellence In All We Do…
E3.8
Use the standard
conventions for labelling
the sides and angles of
shapes
Excellence In All We Do…
3.8a
1)
R
Use the standard conventions for
labelling the sides and angles of
shapes
3
Excellence In All We Do…
E3.9
Derive and apply formulae to
calculate and solve problems
involving the area of triangles,
squares, rectangles and
parallelograms
Excellence In All We Do…
3.9a
1)
Derive and apply formulae to calculate and
solve problems involving the area of
triangles, squares, rectangles and
parallelograms
Calculate the area of a square of length 5cm. States the units of your answer.
25cm2
2)
Calculate the area of a triangle with a base of 4m and height of 5m. States
the units of your answer.
10m2
3) Calculate the perimeter of a rectangle with a length of 6mm and a width of
3mm. States the units of your answer.
18mm
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.
22.4m
5) The area of this rectangle is 30cm2.
Calculate the length l. State the units
l
5 cm
4cm
of your answer.
Excellence In All We Do…
E3.10
Derive and use the sum
of angles in a triangle
and quadrilateral
Excellence In All We Do…
3.10a
1) o
Derive and use the sum of angles
in a triangle and quadrilateral
2.
Excellence In All We Do…
E3.11
Apply the properties of
angles at a point on a
straight line, vertically
opposite angles
Excellence In All We Do…
3.11a
1)
R
Apply the properties of angles at a
point on a straight line, vertically
opposite angles
2.
Excellence In All We Do…
E3.12
Change freely between
related standard units
Excellence In All We Do…
3.12a
1)
R
Change freely between related
standard units
2.
Excellence In All We Do…
E3.13
Use unit pricing to solve
problems
Excellence In All We Do…
3.13a
1)
R
Use unit pricing
to solve problems
2.
Excellence In All We Do…