Download Express P1 - r2 with ans - KJ-maths

1.
For
Examiner's
Use
Consider the five numbers stated below.
19
, 8 ,  , 2 , 5
3
Write down all the
(a) prime numbers,
(b) irrational number(s).
Answer: (a)________________[1]
(b)________________[1]
2.
Given that A : B 
1 1
: and B : C  1 : 2 , find the ratio of A to C as a ratio of two
2 3
integers.
Answer:____________________[2]
3.
When x is decreased by 15% and then increased by 20%, it becomes y.
Express x : y in its simplest form.
Answer:____________________[2]
4.
3
(a) Indicate clearly the numbers,  ,2.7,3 and 0.5 on a number line.
2
[1]
(b) Hence, arrange the numbers in descending order.
______ ; ______
; ______
; ______
1
[1]
5.
For
Examiner's
Use
Complete the statements in the answer spaces
(a)
8942 correct to 3 significant figures is ___________.
(b)
8942 correct to ___________ significant figure is 9000.
Answer: (a)________________[1]
(b)________________[1]
6.
Estimate the value of
82  3  7.9
Answer: __________________[2]
7.
Simplify 2 x 2  (3 y) 2  20 x 2 y 2
Answer: __________________[2]
8.
(a)
(b)
Mrs Tan spent
3
of the money in her wallet and had $42 left. How much did
5
she spend?
x grams of ham cost 99 cents.
Find an algebraic expression for the number of grams of ham that can be bought
with y dollars.
Answer: (a)________________[1]
(b)________________[1]
2
9.
It is given that 56  23  7 , 42  2  3  7 and 1225  52  7 2
(a) What is the highest common factor of 56 and 42?
(b) What is the smallest positive integer value of n for which 56n is a multiple of 42?
(c) Find the value of 1225
Answer: (a)________________[1]
(b)________________[2]
(c) ________________[1]
10.
Evaluate
2
2
1
(a)  2  (1  2 )
3
3
5
(b) [6  8  (13  7)]  3
Answer: (a)________________[2]
(b)________________[2]
3
For
Examiner's
Use
11.
Given that a = 3, b =  4 and c =
(a) 5a  bc
ab 2
(b)
c
For
Examiner's
Use
1
, find the value of
2
Answer: (a)________________[2]
(b)________________[2]
12.
Albert, Ben and Calvin were each given a piece of string of equal length. Albert cut his
into equal lengths of 12m, Ben cut his into equal lengths of 16m; and Calvin cut his into
equal lengths of 26m. If there was no remainder in each case, find the shortest length of
string given to each of them.
Answer: __________________[3]
4
13.
The temperature inside an igloo is x o C , and the temperature outside it is  y o C , where
x and y are positive integers.
Write down an expression for
(a) the difference between the two temperatures,
(b) the average of the two temperatures.
Answer: (a)________________[1]
(b)________________[1]
14.
Betty buys 30 apples at x cents each and 20 pears y cents each. She packs them into
bags which contain 3 apples and 2 pears each. She later sells the bags of fruits for
(10x + 8y) cents each.
Write down an algebraic expression, in terms of x and y , for
(a)
the amount of money she spent on the fruit.
(b) the total amount of money for which she sold all the bags of fruits.
(c) Use the answers in (a) and (b) to find out how much profit she makes from
selling the bags of fruits.
Answer: (a)________________[1]
(b)________________[1]
(c) ________________[2]
5
For
Examiner's
Use
15.
For
Examiner's
Use
Simplify each of the following:
(a)
10v  3vv  1
3x  y x  y

(b)
3
4
Answer: (a)________________[2]
(b)________________[2]
6
16.
Construct on the triangle ABC below,
(a) the bisector of angle ACB,
[1]
(b) the perpendicular bisector of the line BC.
[1]
(c) These two lines intersect at the point P. Complete the sentence in the answer
space.
B
C
A
(c) The point P is equidistant from the points ________ and ________ and equidistant from
the lines ________ and ________.
[2]
7
For
Examiner's
Use
17.
For
Examiner's
Use
Solve the equations
2( x  1)  3x  1
(a)
4x  6
3
 12
(b)
2
Answer: (a)________________[2]
(b)________________[3]
8
1
(a)
(b)
2
3
A:C=3:4
x : y = 50 : 51
3
(b) 2.7,0.5, ,3
2
(a) 8940
(b) 1
-18
 2x2 y 2
(a) $63
100xy
(b)
99
(a) 14
(b) n = 3
(c) 35
(a) -5
(b) 18
(a) 17
(b) 96
624
(a) x + y
x y
(b)
2
(a) 30x + 20 y
(b) 10 (10 x + 8y)
(c) 70x + 60 y
(a) 13v  3v 2
15 x  y
(b)
12
(c) Pt P is equidistant from Pts B and C and equidistant from lines BC and AC
(a) 3
(b) -3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
2, 5
, 8
9