NAME: Year 10 (Track 3) Questions from Past Papers ...
[Pages:2]NAME: _________________________________
Questions from Past Papers
ANNUAL Non Calculator
No. 1. Expand:
Question
(2x ? 3) (x + 5)
2. Expand:
2a2b(3a - 4b2)
Year 10 (Track 3)
Expressions & Equations I
Space for working, if required
Answer: ___________ __________
3. Expand and simplify: (x + 3)2
4. Expand and simplify: (5x - 1)2
5. Expand and simplify the expression: 3(1 + 3x) ? (4x + 1)
6. Solve the equation: 5(2x + 3) = 7(x + 6)
7.
12-8
Simplify 4
8. Expand (2 + 7 + 3)
9. Expand (3x ? 2)(5 + x)
ANNUAL Main
1. Solve the equation: 2x - 9 = 5x - 3(3x + 2)
2. The figure shows a rectangle of length 3x drawn on a square grid. The perimeter of the rectangle is 30 cm. Calculate the value of x.
[3 marks]
[4 marks]
NAME: _________________________________
3. a) The diagram shows a rectangular tile A. The measurements are in centimetres.
Year 10 (Track 3)
i) Write down an expression, in terms of x, for the area of the tile.
Ans: ___________________ cm2
ii) The actual area of the tile is 300 cm2. Form an equation in x and solve it to find x.
b) Another rectangular tile B is 20 cm long and (2y + 4) cm wide. How many tiles of this type fit in a wall of area (800y + 1600) cm2?
Ans: _________ cm
Ans: _________ tiles
(6 marks)
These are OPTIONAL (not for assessment)
22
MATSEC
1. The numbers 4, 5 and 6 are an example of three consecutive whole numbers. Similarly 8, 9 and 10 are another three consecutive numbers.
a) If x is the smallest of the three consecutive numbers, write the next two numbers in terms of x.
b) Find the sum of the three consecutive numbers which you found in part (a)
c) Why is the answer of part (b) always divisible by 3?
[PIIB. 5]
2. ABCD is a rectangle in which x represents the length of side AD in centimetres. Side AB is 10cm more
than twice the side AD.
a) Write down the length of AB in terms of x
b) Work out the perimeter of ABCD in terms of x
c) Work out the value of x when the perimeter of ABCD is 170cm.
3.
If
a
=
1
?
x2
and
b
=
2
+
x2
a) Simplify (2a ? b) + (a + b)2
[PIIB. 6]
(3)
b) If z = (2a ? b) + (a + b)2 , find the value of z when x = 3
[pPI. 5]
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