BIDMAS
Follow the correct order of operations to calculate the following:
1.5 + 2 x 3 = ___2. 10 ÷ 2 + 7 = ___3.7 + 9 ÷ 3 = ___
4.2 x 3 + 7 x 2 = ___5.8 ÷ 4 – 2 x 1 = ___6.5 x 10 + 9 ÷ 1 = ___
7.2 + 4 x 4 + 1 = ___8.(2 + 4) x 8 = ___9.(3 – 1) x (9 – 4) = ___
10.30 – (7 + 6) = ___11.20 – (4 + 10) = ___12. (5 + 9) ÷ (2 x 1) = ___
BRACKETS
Put brackets into the questions to make them correct.
1. 2 + 2 x 3 = 122.4 – 1 x 7 = 213.2 + 1 x 1 + 2 = 9
4.9 ÷ 3 x 2 + 1 = 95.50 ÷ 7 + 3 = 106.6 + 2 x 4 + 3 = 51
1234
Use the digits 1, 2, 3, and 4 to make correct calculations. Use brackets where appropriate.
1 = ______2 = ______
3 = ______4 = ______
5 = ______6 = ______
7 = ______8 = ______
9 = ______10 = ______
EXAM QUESTION
PRIME NUMBERS
Answer TRUE or FALSE:
1.2 is a prime number2.9 is a prime number3.15 is a prime number
4.7 is a prime number5.19 is a prime number6.23 is a prime number
7.21 is a prime number8.8 is a prime number9.27 is a prime number
10.3 is the smallest prime number11. There are four prime numbers between 1 and 10
12.99 is a prime number13.There are three primes between 20 and 30
PRIME FACTORS
Write each number as a product of its’ prime factors:
1.212.123.364.50
5.1506.547.498.84
RECIPROCALS
Write down the reciprocal of each number
1.32.23.54.
5.6.107.8.
9.510.11.12.6
EXAM QUESTIONS
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INTEGERS, RECIPROCALS, FACTORS, MULTIPLES AND PRIME NUMBERS / MODULE 3 - Homework 3H / GRADES : D, C
Multiples
Write down the first six multiples of each number:
1.42.33.74.9
5.156.127.88.11
Highest Common Factor
Find the Lowest Common Factor (HCF) for each pair of numbers.
1.36 and 102.50 and 303.45 and 27
4.100 and 365.88 and 566.36 and 32
Lowest Common Multiple
Find the Highest Common Multiple (LCM) for each pair of numbers.
1.6 and 92.5 and 153.12 and 8
4.2 and 115.12 and 86.5 and 9
EXAM QUESTIONS
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ROUNDING AND APPROXIMATIONS / MODULE 3 - Homework 4H / GRADES : E, D
ESTIMATING
Copy the lists below and match up the questions to the estimated answers. The first one has been done for you.
QUESTIONS / ESTIMATED ANSWERS3.92 x 5.05 / 3
6.9 x 2.9 / 100
30.1 ÷ 9.91 / 11.4
√32 / 15
(8.8 + 11.11) x 4.9 / 40
50 ÷ 7.21 / 7
√103 / 8
4.05 x (6.9 + 2.9) / 20
67 ÷ 8.12 / 12.2
√150 / 5.5
EXAM QUESTIONS
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ROUNDING AND APPROXIMATIONS / MODULE 3 - Homework 5H / GRADES : D,C
SIGNIFICANT FIGURES
1. Write each number correct to one significant figure.
a) 27b) 832c) 8.12d) 93e) 77f) 13.5g) 95
2. Use a calculator to work out the answers and write them down correct to 1 significant figure.
a) 50 x 23b) 5.25 x 7c) 910 x 12d) 9.5 x 7.3e) 93 x 77
3. Write each number correct to two significant figures.
a) 275b) 0.03451c) 8.12d) 0.956e) 7.04f) 7.05g) 959
4. Write each number correct to three significant figures.
a) 27589b) 0.03451c) 8.1254d) 0.95621e) 0.0704124f) 7.05555g) 959595
ESTIMATING CALCULATIONS
By approximating each number, estimate the answers to these calculations. You must show how you reached your estimate.
1.2.3.
EXAM QUESTIONS
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ROUNDING AND APPROXIMATIONS / MODULE 3 - Homework 6H / GRADES : C, B
ROUNDING IN CALCULATIONS
Give your final answer to each question correct to two decimal places.
Remember not to round during the intermediate steps of the calculation.
1.2.3.
4.5.6.
HIGHEST AND LOWEST
1. The length of a pencil is given as 9cm to the nearest cm.
What is the minimum length that the pencil could be?
2. The height of a door is 210cm to the nearest 10cm.
What is the maximum height that the door could be?
3. The width of a piece of paper is given as 18.4cm correct to one decimal place.
a) What is the minimum width that the paper could be?
b) What is the maximum width that the paper could be?
EXAM QUESTIONS
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ROUNDING AND APPROXIMATIONS / MODULE 3 - Homework 7H / GRADES : A
UPPER AND LOWER BOUNDS
EXAM QUESTIONS
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WHOLE NUMBER AND DECIMAL CALCULATIONS / MODULE 3 - Homework 8H / GRADES : D,C
MULTIPLICATION AND DIVISION (WHOLE NUMBERS)
MULTIPLYING DECIMALS
DIVIDING WITH DECIMALS
EXAM QUESTION
1. /2. /
FRACTIONS / MODULE 3 - Homework 9H / GRADES : D,C
ADDING AND SUBTRACTING FRACTIONS
1. Fill in the boxes by adding the fractions.
+ / / / /2. Work out each question without a calculator. Show your working and write your answer in its’ simplest form.
a) b) c) d)
3. Work out each question with a calculator.
a) b) c) d)
EXAM QUESTIONS
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FRACTIONS / MODULE 3 - Homework 10H / GRADES : D,C
MULTIPLYING FRACTIONS
Fill in the boxes by multiplying the fractions.
x / / / /MIXED NUMBERS
1. 2.3.
DIVIDING WITH FRACTIONS
1.2.3.4.5.
EXAM QUESTIONS
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FRACTIONS / MODULE 3 - Homework 11H / GRADES : B
RECURRING DECIMALS
EXAM QUESTIONS
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SQUARES, CUBES,
POWERS AND ROOTS / MODULE 3 - Homework 12H / GRADES : E, D,C
POWERS AND ROOTS ‘COLLECT A LETTER’
START / 1000 / 8 / 32 / 49 / 64P / O / U / E / T / A
23 / 92 / 52 / 73 / 63 / 24
27 / 121 / 36 / 100 / 1 / 125
E / D / L / N / H / I
43 / 25 / 53 / 103 / 62 / 02
216 / 16 / 343 / 0 / 25 / 81
I / C / R / S / T / R
102 / 15 / END / 72 / 33 / 112
1)√253²√362³√100
2)√1004²2²√81√121
3)5²4² + 2²√144√25+√361³ + 3³
4) √36 - √44² - 2²1³ + 2³√100 - 3²1³ + 1²
EXAM QUESTIONS
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SQUARES, CUBES,
POWERS AND ROOTS / MODULE 3 - Homework 13H / GRADES : C
INDEX LAWS
1. Write each of these as simply as possible using indices.
a) 2x2x2x2x2b) y x y x y x yc) 9x9x9d) 8x8x8x8x8x8x8
2. Write down the value of the missing index.
a) b) c) d)
e) f) g) h)
3. State whether each equation is TRUE or FALSE.
a) b) c)
EXAM QUESTIONS
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SQUARES, CUBES,
POWERS AND ROOTS / MODULE 3 - Homework 14H / GRADES : A, A*
FRACTIONAL POWERS and NEGATIVE POWERS
EXAM QUESTIONS
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SQUARES, CUBES,
POWERS AND ROOTS / MODULE 3 - Homework 15H / GRADES : A, A*
IRRATIONAL NUMBERS AND SURDS
EXAM QUESTIONS
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POWERS OF 10 AND
STANDARD INDEX FORM / MODULE 3 - Homework 16H / GRADES : A, A*
STANDARD INDEX FORM
EXAM QUESTIONS
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PERCENTAGES / MODULE 3 - Homework 17H / GRADES : D,C
PERCENTAGE INCREASE AND DECREASE
1. Increase £90 by 10%2. Increase £110 by 50%
3. Increase £120 by 5%4. Decrease £40 by 20%
5. Decrease £700 by 30%6. Decrease £320 by 5%
7. Increase £620 by 25%8. Decrease £180 by 60%
EXAM QUESTIONS
1. /2. /
How much do they pay for the washing machine?
3. /
PERCENTAGES / MODULE 3 - Homework 18H / GRADES : B, A
COMPOUND PERCENTAGE
EXAM QUESTIONS
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PERCENTAGES / MODULE 3 - Homework 19H / GRADES : B
REVERSE PERCENTAGE
EXAM QUESTIONS
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RATIO AND PROPORTION / MODULE 3 - Homework 20H / GRADES : D,C
EXAM QUESTIONS
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RATIO AND PROPORTION / MODULE 3 - Homework 21H / GRADES : A
DIRECT PROPORTION
EXAM QUESTIONS
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INVERSE PROPORTION
EXAM QUESTIONS
1. /2. /
ALGEBRAIC MANIPULATION / MODULE 3 - Homework 22H / GRADES : E,D,C
EXAM QUESTIONS
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ALGEBRAIC MANIPULATION / MODULE 3 - Homework 23H / GRADES : B
EXPANDING QUADRATIC EXPRESSIONS
EXAM QUESTIONS
1. /2. /
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FACTORISING QUADRATIC EXPRESSIONS
EXAM QUESTIONS
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ALGEBRAIC MANIPULATION / MODULE 3 - Homework 24H / GRADES : A
EXPANDING HARDER QUADRATIC EXPRESSIONS
EXAM QUESTIONS
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FACTORISING HARDER QUADRATIC EXPRESSIONS
EXAM QUESTIONS
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NON-LINEAR GRAPHS AND GRAPHICAL SOLUTION OF EQUATIONS / MODULE 3 - Homework 25H / GRADES : D,C
EXAM QUESTION
NON-LINEAR GRAPHS AND GRAPHICAL SOLUTION OF EQUATIONS / MODULE 3 - Homework 26H / GRADES : AGRAPHICAL SOLUTION OF EQUATIONS 1
EXAM QUESTION
1. /NON-LINEAR GRAPHS AND GRAPHICAL SOLUTION OF EQUATIONS / MODULE 3 - Homework 27H / GRADES : A, A*
GRAPHICAL SOLUTION OF EQUATIONS 2
EXAM QUESTIONS
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