Download year8 mathematics revision worksheet 1

YEAR 8- REVISION WORKSHEET – 1
1. Write 8.2 × 105 as a ordinary number.
2. Write 0.000376 in standard form
3. Express 108 as the product of powers of its prime factors.
4. Find the Highest Common Factor (HCF) of 84 and 180
5. James thinks of two numbers. He says “The Highest Common Factor (HCF)
of my two numbers is 3 The Lowest Common Multiple (LCM) of my two
numbers is 45.Write down two numbers that James could be thinking of.
6. Simplify
a) 3(2x-y)-y2(y-8)
b) 4c(c+2d)+3c2(2c+d)
7. Jacob answered 80% of the questions in a test correctly. He answered 32 of
the questions correctly. Work out the total number of questions in the test.
8. A pack of paper was priced at £40 excluding the VAT? Calculate the amount
including VAT, if VAT is at the rate of 17.5%.
9. Tom has been awarded a salary increase from £2350 to £2900. By what
percentage has his salary increased?
10.Mario invests £2000 for 2 years at 5% per annum compound interest.
Calculate the value of the investment at the end of 2 years.
11.The probability that it rains tomorrow is 2/3. What is the probability that it
does not rain tomorrow?
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12.A box contains 200 tissues. Toby takes
many tissues he takes.
of these tissues. Work out how
13.What percentage is equivalent to 0.004?
14.Find the value of x and y.
15.Solve the following
a) 5 - 2
b) 5 + 2
c) 4
2
d) 3
2
e)
+1
÷
16.Jennifer puts these lettered cards in a bag. She selects a card. What is the
probability that she will choose A or B?
17.Find the radius of a circle which has an area of 39 cm2
b) 3x + 2y = 16
4x + y = 13
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18.Factorise
a. 12p-18
19.Solve for m:
b. 3x2+2x
c. d3+5d2
+ 3 = -2
20.Find the area and perimeter of the shape below, rounding your answer to 3
significant figures
21.On the grid, enlarge the shaded shape by scale factor of 2, centre (1,1)
22.A semicircular piece of cloth is to be edged with a strip of lace
The diameter of the cloth is 4 m.What length of cloth would go
around the table cloth?
23.Find the unknown angles.(give reasons to support your answers)
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24.Stephen is making some houses out of rods in the following sequence
a. Complete the following table
Pattern number
1
2
3
No. of rods
6
b. Find the nth term of the sequence
c. What will be its 50th term?
4
5
25. Simplify the following, leaving the answers in the index form
a. (32) 5
b. 57 53
c. a5 a3 a3
d. 56 53
e. t4 t4
f. (b6) 5
26. Describe fully the single transformation that will map shape P onto shape Q.
27. Triangle T has been drawn on the grid. Reflect triangle T in the y – axis.
Label the new triangle G.
28. Here is part of a travel graph of Sian’s journey from her house to the shops
and back.
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