Two-Week Holiday Math Challenge Chart With Answer Key

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two-week holiday challenge (H)
How many can you do? … How many WILLyou do?
DAY 1
DAY 2
DAY 3
DAY 4
DAY 5
DAY 6
DAY 7
A car depreciates by 10% per
3
2
3
2
7
If A=2
x3
x5
and B=2
x3
x5
f(x) = 8x - 1
4
Write in the form n : 1
annum.
Write 68 x 10
in standard
3
5
Calculate:
What is 15% of 84?
What is the LCM and HCF of A
2
− 1
If it cost £7200 how much is it
Calculate f(5)
form
£3 ; 60p
5
6
and B?
worth in 3 years time?
What is the gradient of the
Find the value of x
Without a calculator:
Calculate:
9
Convert 8 m/s to km/hour
line between (-3,3) and (7,-
Calculate:
Calculate 2.5% of 84
3 ÷
3
x
9
12,002 - 897
3
6
4
x 4
=4
10
(5 x 10
) x (7 x 10
)
2)?
If a "thing" travels at 11 m/s
A "thing" costs £6500 +
3
3
4
1cm
of gold has mass of 19.32g.
8
× 8
What is the midpoint of (0,1)
3
2
Calculate
What is 12.5% of £90?
for 40 minutes, how far does
Calculate:
20% VAT. What is the cost
3
1cm
of platinum has mass of 21.45g.
3
× 1
and (3,10)?
6
8
9
8
it travel?
Which metal is denser?
including VAT?
3
−2
What is the overall percentage
y is directly proportional to x
3
What is 5000 less than 5
What is
written as a
4
3
8
SIMPLIFY :
150
Calculate
Calculate:
change of a 40% increase
When y = 52, x = 8
3
+ 5
million?
percentage?
4
9
4
followed by a 40% decrease?
Find x when y = 143
1
Simplify
Round 233.1789 to 1
Expand and simplify
Share £39 in the ratio
2
2
Simplify a x a + b + b + b
Work out:
25
Convert 250mm
to cm
2
significant figure
2(3x + 1) - 3(5x - 2)
9 : 3
6 56
Work out:
2
A circle has an area of 50m
.
What would you prefer?
2
The area of a square is 50cm
.
f(x) = 2x - 9
Expand and simplify
3
1
Share £180 in the ratio 4:5
40% of £50 or
What is its radius to the
Find the length of one side - leave
-1
4
8
Find f
(x)
(x - 1)(x + 1)
2
3
×
your answer in surd form.
50% of £40
nearest cm?
25
27
DAY 8
DAY 9
DAY 10
DAY 11
DAY 12
DAY 13
DAY 14
Simplify
Friends A, B and C share some
Calculate:
work out
Round 765.66 to 1
Work out:
What is the gradient of the
sweets in the ratio 2:3:5. C has 6
5
4
1
3
more sweets than B. How many
5.3 x 125.8
significant figure
line 2y = 3x +6 ?
3.4 x 10
+ 6.7 x 10
8 12 × 3 3
−2
3
4��
��
× 3��
��
2
2
sweets altogether?
I buy a "thing" for £52.26
There are 7 blue pens and 2
What is the length of the line
x is rounded to 6000 which
Calculate:
Simplify:
which includes 20% VAT. What
red pens. What fraction of
between
What is 1.2 x 0.4?
is 1 sig. fig. What is the
is the cost before VAT is
5
-1
-2
-5
8.3 x 10
- 7 x 10
(x
)
the pens are not red?
(-3,2) and (0,-2)?
error interval?
added?
The equation of a Circle is
When rolling a FAIR dice …
Factorise
what is the exact value of
Solve :
Without a calculator:
What is the reciprocal of 8?
2
2
what is the probability of
given as x
+y
=36
3
2
2
o
20ab
- 15a
b
sin 60
?
9(3x-1)+5(x+3)= 24
216.3 x 43.7
rolling a nuber greater than 2?
What is the radius of the circle?
Write as a fraction
A bank pays 4% compound
if 3 people can build a wall
Find 5 numbers with a range of
Factorise
Solve :
What is the area of a square
interest.
0. ሶ 5 ሶ 2
in 5 days. How long will it
10, a mode of 4, a median of 6
2
£2000 is invested, how much
9x -2(3x - 5) = 6
with side length 2.5cm?
14(p+1)
+ 28(p+1)
take 2 men?
and a mean of 7.
interest is earned over 2 years?
The ratio of pens:pencils is 3 : 5
Factorise
2
Make "a" the subject :
Expand and simplify
make "y" the subject of
Prove that n
+n is always a
0
The ratio of pens:rulers is 8 :1
What is the value of 54
?
(3x + 2)(5 - 2x)
5xy + 3x = 9 -3y
2
2
2
2
3a
b+ 9ab
+ 6
multiple of 2
v
=u
-2as
What is the ratio of pencils : rulers ?
True or False?
Expand and simplify
What is the lowest common
Factorise
Find the n th term rule :
Write 0.9 million in standard
What is the COSINE rule?
2
2
2
-4 - -3 = -7
(xy
- y)(x + 2y
)
multiple of 12, 20 and 24?
x
- 25
8 23 48 83 128
form?

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