Download Number Starter - Solve My Maths

Number Starter
Split the clock in
two so that the
sum of the
numbers on
each half are
the same.
• Total = 39
Shape Starter
Find the perimeter
Shape Starter
Perimeter =
26cm
(a + b = 3m)
a
b
Find the perimeter
Algebra Starter
Five hens sold for as
much as two ducks.
One hen and four
ducks were sold for
£44.
How much did each
bird cost?
• H = £4
• D = £10
Data Starter
This graph is
distorted.
How is it distorted?
What change in its
message is
achieved by this
distortion?
How would you fix
it?
Number Starter
One clock is 3 hours 10 minutes fast
One is 5 hours fast
One is 2 hours 5 minutes slow.
What time is it?
3:15
Shape Starter
Two cuboids have a combined volume of 151cm3
If one cuboid has dimensions 2cm x 4cm x 5cm,
Can you find two possible integer dimensions of the other
cuboid?
Shape Starter
37cm x 3cm x 1cm
111cm x 1cm x 1cm
Algebra Starter
Desmond has lived 1/4 of his
life as a boy, 1/5 as a youth, 1/3
as a man, and 13 years in his
old age.
How old is he?
• 60 years old
Data Starter
If (3,5) is the (x,y) coordinate of the
midpoint of a line 4cm long,
can you give the coordinates of at least 4
pairs of end points?
Data Starter
(Various answers)
Number Starter
Which of these amounts can you not make with a
combination of 2 pence and 5 pence pieces?
94p
17p
16p
6p
3p
£1.03p
41p
13p
3p
Shape Starter
E and F are midpoints.
What fraction of the shape is shaded?
Shape Starter
3/8 is white, so 5/8 is shaded.
Algebra Starter
Write a suitable formula for
the area of this shape.
2b
3a
3a
2b
3a
3a
Data Starter
Write down
2 facts
and 2
comparisons
using this
chart.
How much
larger,
proportionally
is UK income
tax to US?
Data Starter
100 x (1 - (24.9/22.7)) = 9.7% (1dp)
Confusing huh!?
Number Starter
Prime Numbers:
2 and 3 are prime.
2 + 3 = 5, which is also prime.
How many consecutive prime numbers
(always starting from 2 + 3 …)
can be added to equal another prime number less than
100?
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61,
67, 71, 73, 79, 83, 89, 97
2+3=5
2 + 3 + 5 = 10
2 + 3 + 5 + 7 = 17
17 + 19 = 36
36 + 23 = 59
59 + 29 = 88
88 + 31 = 119 (>100)
Give the mathematical name for shapes with the
following numbers of sides:
3
4
5
6
7
8
9
10
11
12
13
14
Shape Starter
Shape Starter
Algebra Starter
Write an algebraic expression for the area and
perimeter of this shape:
8b
3a2
4b
Perimeter = 3a2 x 6 = 18a2
Area = ½ (4b x 3a2) x 6
= 3(12a2b)
= 36a2bc
Data Starter
Find the coordinates of the centre of the rectangle
Find the gradient of each line. (E and F are midpoints)
Data Starter
G = (2.5,3)
Number Starter
Here is a smart way to deduce different ways
of making 200 using multiplication.
Using a similar strategy, find 15 ways
of making 1500 using only
multiplication.
(various possible answers)
2 squares have a combined area equal to a third square.
Which are they?
*not drawn to scale!
7cm
B
A
Area = 16cm2
E
4cm
3cm
C
D
Perimeter =
24cm
Shape Starter
B2 + C2 = E2
Shape Starter
Algebra Starter
Complete and solve these
simultaneous equations:
3x + ? = 7
3x – y = ?
Measurement Starter
A ‘hand’ is a unit of measurement
to measure the height of a horse.
One hand is equal to 4 inches.
How many hands equal
50.8 cm?
Measurement Starter
5 hands
Number Starter
What is the sum of the Prime Factors of 2, 3, 4, 5, 6, 7, 8, 9 and 10?
2
3
2, 2
5
2, 3
7
2, 2, 2
3, 3
5, 2
Sum = 45
Number Starter
Find these angles:
40o
xo
60o
40o
xo
50o
Shape Starter
Shape Starter
40o
100o
60o
40o
90o
50o
Algebra Starter
Misconception Mayhem:
Below are questions that often make students slip
up. Can you answer them all correctly?
1.
2.
3.
4.
5.
6.
7.
8.
a+a=
2a – a =
axa=
2a / a =
2a x 2a =
(2a)2 =
(a + b)2 =
a0 =
Algebra Starter
Misconception Mayhem:
Below are questions that often make students slip
up. Can you answer them all correctly?
1.
2.
3.
4.
5.
6.
7.
8.
a + a = 2a
2a – a = a
a x a = a2
2a / a = 2
2a x 2a = 4a2
(2a)2 = 4a2
(a + b)2 = (a+b)(a+b) = a2 + 2ab + b2
a0 = 1
Data Starter
This graph is distorted.
How?
What change in its
message is achieved by
this distortion?
How would you fix it?
Data Starter
Number Starter
What is the sum of the first 10 multiples of 12?
1 x 12 =
2 x 12 =
3 x 12 =
… 10 x 12 =
660
Number Starter
Divide the white area in A
Into halves
Divide the white area in B
Into thirds
Divide the white area in C
Into quarters
Divide the white area in D into sevenths
Shape Starter
Shape Starter
Algebra Starter
Multiply out the brackets:
(x+1)(2x+2)(3x+3)
Algebra Starter
Data Starter
Find the mean, median
and mode of this data set:
Data Starter
Mean = 85 / 144
Median = 7 / 12
Mode = 2/5
Number Starter
DOG
GOD +
_____
DEEP
This is a cryptarithm.
What numbers are D, E, G, O and P ?
Number Starter
D=1
E=0
G=8
O=5
P=9
158
851 +
______
1009
Data Starter
• Sketch a proportionately correct graph to
show the votes for each party from this year’s
election.
Data Starter
350
300
250
200
Series1
150
100
50
0
conv
lab
snp
ld
dup
other
Adding Fractions Algebra Starter
• Complete the following :
d
+
=
a2
+
p
=
+
a 2b
2a2
2a2
p
mk
mp
+
mp
Algebra Starter
• Complete the following :
d
+
b
=
a2
2
1
k
m
+
2d
p
=
+
a 2b
2a2
2a2
p
mk
mp
+
mp
Shape Starter
• How many triangles are inside this fully
connected pentagon?
Shape Starter
35
Number Starter
Find a fraction between:
1/5 and 1/6
1/10 and 1/11
1/24 and 1/25
Number Starter
(Various possible answers)
Data Starter
• Three white candles and two black candles
can be arranged in a number of ways in a
pentagon shaped candelabra.
• If they’re placed at random, what is the
probability that the three white candles will
be adjacent?
Data Starter
• 5/10 = 1/2
Algebra Starter
• Three consecutive integers are multiplied
together, and the middle number is added to
the total.
• E.g. (4x5x6) + 5 = 125 = 53
• Prove that this is always true, with any set of
three consecutive integers.
Algebra Starter
Shape Starter
• Find the red angle to 2 d.p
Shape Starter
900/7 = internal angle of heptagon (~128.6o)
So 2 angles of each triangle are
180o – 128.6o = 51.4o
So remaining angle of each triangle (the red
angle) = 77.1o
Number Starter
2 __ 3 __ 4 __ 5 =
Using +, - and x once each, find as many
different solutions as you can.
You may use brackets.
Number Starter
Various answers possible.
Data Starter
• A standard six sided die has each number
replaced with the first six prime numbers.
• If the die is rolled twice, find the probability of
scoring an odd total.
Data Starter
2, 3, 5, 7, 11, 13,
Can only be odd if a 2 is rolled either first, or second.
(1/6 x 5/6) + (5/6 x 1/6)
Algebra Starter
Algebra Starter
D
Shape Starter
• Draw the following:
• ABCD is a parallelogram. E is the midpoint of
AB. Line ED intersects line AC at point F.
Shape Starter (Possible Answer)
E
F
Number Starter
Choose 4 consecutive numbers
Create and solve as many subtraction questions as
you can from these 4 numbers
e.g.
3, 4, 5, 6
3–4–5–6=
3–5–4–6=
… etc
What do you notice?
Number Starter
Various patterns
e.g.
• Keeping the first number fixed means others
can be put in any order and the answer is
always the same.
• Max / Min answers…
Data Starter
• Explore the data at the link
• Write down 5 things that the data is telling you.
Data Starter
Various possible answers
Algebra Starter
• Circle any
collection of terms
and draw in a valid
relationship
between them
(one example is
done for you)
Algebra Starter
Various possible answers.
Puzzle taken from
http://www.pleacher.com
Shape Starter
• Write down anything you notice about these
triangles:
Shape Starter (Possible Answer)
• They all have the same area
Number Starter
What is the missing number?
Number Starter
68 (sum of primes in each picture)
Data Starter
• If two coordinates of a square are (1,1) and (3,3)
• What could the other two coordinates be?
Data Starter
(Any of these)
Algebra Starter
• Write an algebraic representation of the following
(using only one ‘unknown’):
• The mean average of 4 consecutive numbers
• The median average of 4 consecutive numbers
Algebra Starter
Various possible answers
depending on what is decided
as ‘n’
e.g. (4n+6)/ 4
Shape Starter
• Write down anything you notice about this
shape:
Shape Starter
•
•
•
•
•
Various answers
It’s a decagon
It has internal angles of 144o
It is made up of 10 isosceles triangles
Each isosceles triangle has angles 72o, 72o and
36o
• etc
Number Starter
Complete
these
addogons
Number Starter
Coordinates Starter
• Find the x and y intercepts, gradient and
midpoint of the line with start and end points
(-2, -3) and (1, 6) respectively
Coordinates Starter
•
•
•
•
Gradient = 3
Y intercept = 3
X intercept = -1
Midpoint = (-0.5, 1.5)
Algebra Starter
Algebra Starter
• b = (2a)/h
Shape Starter
• Which of these
nets will make a cube?
Shape Starter
1, 2, 5, 7
* technically 6 would make a cube but one
square would go over another
Number Starter
Number Starter
Data Starter – why are these dreadful?
Data Starter
• Many, many reasons for each.
Algebra Starter
① (2x-1)2
② 3x3
③ 2x
a) x= -1
b) x= 0
c) x= ½
• Which substitutions into
which equations will create
answers that are
not between 1 and 3?
Algebra Starter
•
•
•
•
•
•
•
1a)
2a)
3a)
2a)
2b)
2c)
3a)
Shape Starter
Shape Starter
Starters
th
5
July
Taken from aplusclick.com
Number Starter
Number Starter
All give the same answer
Data Starter
Data Starter
Algebra Starter
Algebra Starter
Shape Starter
Shape Starter
Number Starter
6
Times
itself
÷3
+ 15
- 72
÷7
-9
186
- 114
+4
+ 55
50%
of this
+6
3/4
of this
+ 38
7/13
of this
121
X5
X5
÷ 11
X3
- 89
+ 22
+ 57
÷3
X2
Ans:
3/4
0f this
- 67
Ans:
+ 12
X5
Ans:
Number Starter
52
59
495
Shape Starter
Shape Starter
75
40
55
135
125
25
45
80
55
60
120
80
80
135
70
Algebra Starter
Algebra Starter
1. 16a
2. 28a
3. 16ab
4. 18ab
5. c2
6. 4c2
7. 4abcp
8. 12a2
9. 16a2b
10. 9a2b2c2
11. 4a2b
12. 16a
13. 36a
14. 6ab
15. 9acp
Data Starter
• Find the missing coordinate for these shapes:
• Parallelogram ABCD:
A = (0,0) B = (2,2) C = (6,2) D = ?
• Rectangle EFGH:
E = (-3,3) F = (-1, 3) G = (-1, 2) H = ?
• Kite JKLM
J = (3,7) K = (4,5) L = (3,4) M = ?