Revision Race: Question 1

1
Revision Race Question 1
Revision Race Question 1


The diagram shows two regular hexagons, calculate
the size of angle p
Calculate the value of the largest angle in the
parallelogram pictured
Team
A A
Team
A A
2
Revision Race Question 2
Revision Race Question 2
A and B are two buoys in the sea off the coast
near Morecambe. B is 500m due east of A.   (a)
Use a scale of 1cm to 50m to make an accurate
drawing of A and B.   (b) Amy sails her boat so
that she is the same distance from A as she is
from B. On your diagram construct the locus
of points to represent the course Amy sails.
This diagram shows a plan of a room ABCD.
Security sensors are installed in corners B and
D. At B the sensor can detect movement a
distance 10m away. The sensor at D is set up so
that the two sensors will cover the whole room.
  Make an accurate scale drawing and use it to
work out the minimum distance that the sensor at
D should be set for.
Team
A A
Team
A A
3
Revision Race Question 3
Revision Race Question 3
Work out the radius of a cylinder of volume 340
cm³ and height 5.2 cm.
The sector of a circle of radius 5 cm is
subtended by an angle of 76.   Work out the area
of the sector.   Work out the perimeter of the
sector.
Team
A A
Team
A A
4
Revision Race Question 4
Revision Race Question 4
6cm
14cm
This sector with radius 6cm and circumference
14cm is folded to make a cone. Work out the
perpendicular height of the cone. Leave your
answer to 1.d.p
Calculate the length of the dotted line
Team
A A
Team
A A
5
Revision Race Question 5
Revision Race Question 5
  Work out the size of angle BCE.
Work out the size of angle SRQ.
Team
A A
Team
A A
6
Revision Race Question 6
Revision Race Question 6
The density of another type of wood is 720 kg/m³.
Calculate the mass in cubic metres of a block
of this wood with the dimensions 8m by 1.5m by
0.15m.
A container holds 10 litres of paint A
decorator needs to buy 8 gallons Given that 1
gallon 4.5 litres, how many containers does he
need?
Team
A A
Team
A A
7
Revision Race Question 7
Revision Race Question 7
A company manufactures cylindrical storage tanks
of different sizes. The storage tanks are all
mathematically similar. The volume of one storage
tank is 500 litres. It has a base radius of 50
cm.   (a) Calculate the radius of the storage
tank with a volume of 4000 litres.  
15cm
5cm
The two cuboids are mathematically similar. The
volume of the smaller one is 100cm3, what is the
volume of the larger cuboid?
Team
A A
Team
A A
8
Revision Race Question 8
Revision Race Question 8
Enlarge A by factor -2 from (-2, 1)
Enlarge A by factor -2 from (-1, 1)
Team
A A
Team
A A
9
Revision Race Question 9
Revision Race Question 9
In these questions use the following formulae v
u at s ut 0.5at² v² u² 2as v a
final velocity u an initial velocity a
acceleration s distance travelled t time
elapsed Find the distance travelled after 8
seconds when the initial velocity of a ball is 11
m/s and the acceleration is 9.8m/s².
In these questions use the following formulae v
u at s ut 0.5at² v² u² 2as v a
final velocity u an initial velocity a
acceleration s distance travelled t time
elapsed Find the velocity of an object which has
an initial velocity of 20m/s and acceleration of
32m/s².
Team
A A
Team
A A
10
Revision Race Question 10
Revision Race Question 10
Solve the following equation, leave your answers
to 1.d.p 2x² 12x 15 10 x
A farmer wants to fence an area of his land shown
above. It has an area of 210 square metres.
Show that 2x2 13x 21 210 What length of
fencing would he need to fence the three sides?
Team
A A
Team
A A
11
Revision Race Question 11
Revision Race Question 11
The length of a box is 3 times its depth, x. The
width of the box is 2 times its depth, x. The
volume of the box 5000 cm³.   Show that 6x³
5000.   Use trial and improvement to solve the
equation. Give your answer correct to 1 decimal
place.
The area of B is 50 cm². Work out the length of
one side using a trial and improvement
method. Give your answer correct to one decimal
place.
Team
A A
Team
A A
12
Revision Race Question 12
Revision Race Question 12
Calculate b to an appropriate degree of accuracy
Calculate a to an appropriate degree of accuracy
Team
A A
Team
A A
13
Revision Race Question 13
Revision Race Question 13
x
Calculate angle x giving your answer correct to
1.d.p
Calculate PQ to 1 decimal place
Team
A A
Team
A A
14
Revision Race Question 14
Revision Race Question 14
S
S
PQRT is a parallelogram PQ a, QR b, PT c
PQRT is a parallelogram PQ a, QR b, PT c
Write PR in terms of a and b Write PS in terms of
a and b
Write QT in terms a and c Write QS in terms a and
c
Team
A A
Team
A A
15
Revision Race Question 15
Revision Race Question 15
If f(x) x² sketch the graphs of the following
If f(x) x² sketch the graphs of the following
y f(x) 2
y f(2x)
y -f(x)
y f(-x)
Team
A A
Team
A A
16
Question Answer Part 1 Answer Part 2
1 240 degrees 105 degrees
2 Diagram with arc of 10cm drawn at B, appropriate answer for D Diagram with perp bisector drawn
3 10.4cm 16.(5..) (cm²) and 16.6(3..)
4 60cm 5.6cm
5 68 degrees 60 degrees
6 1296 kg 4 containers (3.4 or close seen!)
7 100cm 2,700cm3
8 Correct transformation Correct transformation
9 401.6 (m) 660 (m/s)
10 52m x -5.2 and x -1.6
11 X 9.4 X 9.4
12 16.7 or 17 10 (cm)
13 22.4 85.5
14 a b and ½(a b) -a b and ½(-a b)
15 Graph translated 2 spaces in yaxis Graph reflected in x-axis Graph stretched factor ½ in x Graph reflected in y-axis