Pre Exam Gen Rev Questions

2
Write as a decimal
7
(a) –– ,
20
Y10 IGCSE (C) Answer (a)for ......................................................
General Past paper Questions Revision 2
(b) 127%.
1 Work out 7 – 2 x 4.
Paper 1 Questions Answer ...........................................................
Answer (b) ......................................................
1. [May 2002, p1] 2
3
4
1
3
5
Write as a decimal
Factorise completely
7
(a) –– ,
20
[1]
[1]
[1]
8y – 12ty.
Answer ...........................................................
[2]
Answer
(a) two
......................................................
Put one of the symbols <, > or = in each part to make
these
statements correct,
[1]
(b)
(a) 127%.0.0225
[1]
......................
Work out $50 – $23.46.
(b)
2.793 ............
0.3 x 0.5, 2
Answer (b) ......................................................
4.632.
2. [May 2002, p1] Factorise completely
A spoon can hold 5 ml of medicine.
8y – 12ty.
Answer $.……………….………
[1]
A train leaves Johannesburg at 09 45 and arrives inAnswer
Pretoria...........................................................
at 10 32.
(a) Write
ml in litres.
How
many 5minutes
does the journey take?
4
Put one of the symbols <, > or = in each part to make these two statements correct,
Answer
(a) ............................................. litres [1]
[1]
Answer.……………….………minutes
(b)
Write
your
answer
in
standard
form.
0
.
0225
(a)
...................... 0.3 x 0.5,
[1]
3
3
Work out 37 ! 13 .
37 !3 13 ............
(b)
2.79
4.632.
3. Hassan
[May 2002, 24
p1] of fruit.
56
A spoonpicks
can holdkg5 ml
of medicine.
7
4
Answer (b) ............................................. litres
[2]
[1]
3
Answer.……………….………
[2]
He finds
the 8fruitgiving
is rotten.
Work
out that488%
k10of
÷ 24k
your answer in its simplest form.
Work
out
the
mass
of
fruit
which
is
(a)
in litres.in its lowestrotten.
WriteWrite
24% 5asml
a fraction
terms.
Answer ........................................................... [2]
Answer (a)
.......................................................
kg [2]
[2] Answer
.............................................
litres
[1]
Answer.……………….………
8
5
(b) Write your answer in standard form.
4. [Nov 2002, p1] The
population,
P, of a city is 280 000, to the nearest ten thousand. Complete the statement about P.
The integer n is such that
–3 ! n < 3.
List all the possible values of n.
For
Examiner's
Use
[1]
[1] 2
3
For
Examiner’s
Use
Answer (b) ............................................. litres [1]
Answer ...................... ! P <......................... [2]
Answer.……………….……… [2] 0580/1, 0581/1 Jun02
6
Hassan picks 24 kg of fruit.
9 In
one of
euro
worth 0.59 British pounds (£).
HeJune
finds2000,
that 8%
the(€)
fruitwas
is rotten.
Work
out
the
value,
in
pounds,
of
which cost €12 800.
rotten.
6 Work out the mass of fruit which aiscar
Give your answer to the nearest hundred pounds. NOT TO
SCALE
B
Answer ....................................................... kg [2]
Answer
£.........................................................
[3]
AB and
AC are tangents to the circle,
centre O.
O
Angle BAC = 54".
10 (a) Write down the name of the special quadrilateral which has rotational symmetry of order 2 but
(a)
Write down the size of angle
no lines of symmetry.
ABO.
For
Examiner’s
Use
O
4
5. [May 2002, p1] For
Examiner’s
Use
11
NOT TO
SCALE
A
[2]
5 cm
24 cm
11 An athlete’s time for a race was 43 .78 seconds.
B
C
6 cm
(a) Write this time correct to
The diagram shows a triangular prism.
(i)
one decimal place,
AB = 5 cm, BC = 6 cm and angle ABC = 90°. The prism has a length of 24 cm.
Answer (a) (i).……………….………seconds [1]
Calculate the volume of the prism.
(ii)
one significant figure.
6
For
Examiner's
Answer (a) (ii).……………….………seconds [1]
Use
16
The diagram shows part of the
2
y
y = 6 –first.
x
(b) Write 43.78 and your answers to (a) parts (i) and (ii) ingraph
order,oflargest
for –3 ! x ! 0.
6
Answer ................................................... cm3 [3]
Complete the graph
[1] Answer (b) .……………….………>.……………….………>.……………….………
for – 4 ! x ! 4.
4
2 p1] 6. [
Nov 2
002, −
x
y
=
6
12
y
12
A
2
4
NOT TO
128!
SCALE
x
B
3
0
-4
-2
2
4
-2
2
C
B
In triangle ABC, AB =-4AC.
A
1
(a) What is the special
-6 name of this triangle?
–3 –2 –1 0
1
-8
– 1ABC.
(b) Angle BAC = 128!. Work out angle
-10
–2
(a).……………….………
[1]
2 Answer
3
4
5 x
[4]
Answer (b) Angle ABC =.……………….……… [2]
In[Nov the diagram,
A is the point (1,1) and B is the point (4,3).
7. 2002, p1] → of radio waves (F) is connected to the wavelength (l) by the formula
17 The frequency
(a) Write AB as a column vector.
0580/1/O/N/02
300 000
F!
l
.
→
Answer (a) AB =
!
"
[1]
→ l =→1500.
(a) Calculate the value of F when
(b) The point C is such that BC = 2 BA.
(i)
→
Draw BC on the diagram.
[1]
Answer (a) F = .……………….……… [1]
(ii) Write down the coordinates of C.
(b) Calculate the value of l when F = 433, giving your answer to the nearest whole number.
!
"
, ................. [3][1]
Answer
(b)(ii)
Answer
(b) l =..................
.……………….………
18
Seven people
were
0580/1, 0581/1
Jun02asked to guess the number of beans
in a jar. Their guesses were
6
For
Examiner's
Use
8. [May 2003, p1] 14
Show all your working for the following calculations.
The answers are given so it is only your working that will be given marks.
" " $ ! "" ,
$ #
!
(a)
Answer (a)
3
4
For
Examiner's
Use
[2]
3!2 1 .
(b)
1 1 " 17:5.
Mahesh
and Jayraj share $72 in the ratio
5
4
10
How much does Mahesh receive?
Answer (b)
Answer $.……………….………
[2]
[2]
4
The population of a city is 550 000.
It is expected that this population will increase by 42% by the year 2008.
[May 2003, p1] a square
the shows
expected
population
in 82008.
15 9. Calculate
The
diagram
of side
cm and four congruent triangles of height 7 cm.
9 Solve the equation
5
x " 4 ! 3( 2 ! x ) .
7 cm
Answer .……………….………
6
[2]
8 cm
Areeg goes to a bank to change $100 into riyals.
The bank takes $2.40 and then changes the rest of the money at a rate of $1 = 3.75 riyals.
How much does Areeg receive in riyals?
(a)
Calculate
Answer x = .……………….………
Answer .……………….………riyals
(i) the area of one triangle,
10 10. There
are2approximately
500 000 grains of wheat in a 2 kilogram bag.
[May 003, p1] [3]
[2]
!2
7
Write down the value of !! "! " as a fraction.
(a) Calculate the mass of one grain in grams.
Answer (a)(i) .…….………….…cm2
[2]
Answer (a) .……………….………g
Answer (a)(ii) .……………….…cm
Answer .……………….………
[2]
[2]
[2] Answer (b) ………………….………
Answer (b) .……………….………g
[1]
[1]
30580/1,
a " 0581/1
2b !Jun7Answer
03,
(a) y = .……………….………
a # 2b ! 5 .
[1]
(ii) the area of the whole shape.
2
(b)
(b)
8 (a)
Write your answer to part (a) in standard form.
The shape is the net of a solid.
Write down the special
for3vthis
y "name
4uv !
. solid.
Find the value of y when u " !3 and v ! 2 .
11 Solve the simultaneous equations
(b)
Factorise 4uv ! 3v .
For
Examiner's
Use
Paper 3 Questions 11. [May 2004, p3] 2
For
Examiner's
Use
(a) The list shows marks in an examination taken by a class of 10 students.
1
65, 51, 35, 34, 12, 51, 50, 75, 48, 39
(i) Write down the mode.
Answer(a)(i)
[1]
Answer(a)(ii)
[2]
Answer(a)(iii)
[2]
(ii) Work out the median.
(iii) Calculate the mean.
(b) Grades were awarded for the examination.
The table below shows the number of students in the whole school getting each grade.
Grade
Number of
students
A
5
B
15
C
40
D
20
E
10
Totals
90
Angle on a pie
chart
(i) Complete the table above by calculating the angles required to draw a pie chart.
[2]
(ii) Using the circle at the top of the opposite page, draw an accurate pie chart to show the data
in the table.
Label the sectors A, B, C, D and E.
© UCLES 2004
0580/3, 0581/3 Jun/04
3
8
For
Examiner's
Use
[3]
4 In this question the diagrams are not to scale.
the probability that a student chosen at random from the group taking the
12. [(iii)
May What
2004, is
p3] examination
wasofawarded
(a) Calculate the value
s.
For
Examiner's
Use
(a) grade C,
80 o
50 o
o
110 o s
Answer(b)(iii)(a)
[1]
Answer(b)(iii)(b)
Answer(a) s =
[2]
[1]
Answer(b) t =
[2]
(b) grade D or grade E?
(b) Calculate the value of t.
o
75 o t o
75
2t o
(c) (i)
© UCLES
2004
0580/3, 0581/3 Jun/04
50 o
www.xtremepapers.net
[Turn over
[2]
Answer(b) t =
(c) (i)
50 o
2y o
xo
9 equation
Complete the
x + 2y =
[2]
Examiner's
For
Use
(ii)
100 o
160 o
yo
xo
Complete the equation
x+y=
[2]
11
(iii)
your
answers to parts (c)(i) and (c)(ii) to find
© UCLES
2004 Solve the simultaneous equations given
0580/3,by
0581/3
Jun/04
13. [Nov the
2004, p
3] values of x and y.
7
www.xtremepapers.net
(a) Rajeesh thought of a number.
He multiplied this number by 2.
He then added 10.
The answer was 42.
For
Examiner's
Use
(i) What was the number Rajeesh first thought of?
Answer(a)(i)x =
Answer(c)(iii)
,y=
[3][1]
(ii) Simon thought of a number x.
He multiplied this number by 3 and then added 8.
Write down an expression in x for his answer.
Answer(a)(ii)
[2]
Answer(b)
[2]
Answer(c)
[2]
(b) Simplify − 8a + 7b − a − 2b.
(c) Factorise fully 6a − 9a2 .
(d) Make t the subject of the formula
Answer(a)(ii)
[2]
Answer(b)
[2]
Answer(c)
[2]
(b) Simplify − 8a + 7b − a − 2b.
(c) Factorise fully 6a − 9a2 .
(d) Make t the subject of the formula
v = u + at.
Answer(d) t=
[2]
(e) Solve the simultaneous equations
14. [Nov 2004, p3 part question] 8
12
8x + 2y = 13,
(a) The list shows the rainfall in millimetres 3x
in Prestbury
+ y = 4. for the 12 months of 2002.
61
146
22
54
67
94
141
22
37
167
87
For
Examiner's
Use
170
(i) Write down the mode.
Answer(a)(i)
Answer(e) x =
,y=
mm [1]
[4]
(ii) Find the median.
Answer(a)(ii)
© UCLES 2004
(iii)
Calculate the mean.
mm [2]
0580/03/O/N/04
www.xtremepapers.net
Answer(a)(iii)
[Turn over
mm [2]
(b) During the years 1996 - 2000 the total rainfall in Prestbury was 5400 millimetres.
The pie chart shows how this was spread over the five years.
1996
2000
1997
Answer (b)(ii) ………………...………… [1]
15. [Nov 2002, p3] 10
A number that has only two different prime factors is called semi-prime.
For example, 77 is semi-prime since it has only two prime factors, 7 and 11.
[Remember that 1 is not prime.]
(a) Show that each of the three consecutive numbers 33, 34 and 35 is semi-prime.
Answer (a) .......................................................................................................................................
..........................................................................................................................................................
.................................................................................................................................................... [3]
(b) Find the smallest semi-prime number.
Answer (b) ……………………………… [2]
(c) Find two consecutive numbers between 10 and 20 which are semi-prime.
Answer (c) …………… and …………… [1]
(d) Find three consecutive numbers between 80 and 90 which are semi-prime.
Answer (d) …………… , …………… and …………… [3]
0580/3/O/N02
[Turn over