WorksheetsZoned Maths Semester One
Total questions: 135
Worksheet time: 5hrs 46mins
VC2M5N01 5a) Fill in the missing blank: What is the correct way to say: 16.256? "Sixteen and two hundred and fifty six (a) "
VC2M5N01 5b) What does ‘C’ represent on the below place value chart?
(a)
VC25N01 5c) What is the place value of the number that is underlined? 0.8749
(a)
VC2M5N01 5d) The distance between two cities is 234.567 kilometres. Round this distance to the nearest tenth.
(a)
VC2M5N01 5e) Select the smallest decimal:
0.61
0.7
0.501
0.09
VC2M5N01 5f) Select the largest decimal:
0.7672
0.8
0.0951
0.09999
VC2M5N02 5g) Order the decimals from smallest to largest.
0.22
0.302
0.719
0.9
1.2
VC2M5N01 5h) Place the following decimals on the below number line:
0.3, 0.78,0.05 and 0.95
VC2M5N02 5i) Sort the below numbers as 'factors of 20' and 'not factors of 20'.
1
VC2M5N02 5J) What is the highest common factor (HCF) of 15 and 20?
(a)
VC2M5N02 5k) Add all of the factors of 24 into the missing gaps to make the factor rainbow true.
VC2M5N02 5l) List the multiples of 8 up to 80 in ascending order (smallest to largest):
(a)
VC2M5N02 5m) What is the lowest common multiple (LCM) of 4 and 6?
(a)
VC2M5N02 5n) Select ALL of the below numbers that are divisible by both 3 and 4.
24
36
48
55
VC2M6N01 6a) What is an integer?
a whole number
a fraction
a decimal
a complex number
VC2M6N01 6b) i) Circle 'True' or 'False' for each number sentence: -4 > 0
True
False
VC2M6N01 6bii) Circle 'True' or 'False' for each number sentence: ii) 3 > -6
True
False
VC2M6N01 6c) What numbers are missing on the number line?
VC2M6N01 6d) Fill in the missing numbers and x and y axes on the Cartesian plane below.
VC2M6N01 6e) The temperature in Bathurst was 18°C at midday. By dusk, the temperature had dropped to -5°C. What was the temperature decrease? (a) degrees celcius.
VC2M6N01 6f) Alex dropped a rock from the top of a cliff, which was 20 metres above sea level. The rock hit the ocean floor, located 8 metres below sea level. How far did the rock fall? (a) metres
VC2M6N01 6g) You have $25 in your savings account. You deposit $10 each week for 4 weeks. What is your ending balance after the deposits? Use an integer to represent your final amount.
(a)
VC2M6N01 6h) Sarah had $60 in her account, but she had to pay a fee of $75. What is her new balance?
(a)
VC2M6N02 6i) You are playing a game where you collect three different sized tokens for points. If the smallest token has 10 points, what are the next few possible point values for larger tokens if they have to be the next two composite numbers from 10?
12 and 14
11 and 13
15 and 16
14 and 15
VC2M6N02 6j) What is a prime number?
VC2M6N02 6k) Which of the following lists all of the prime numbers between 1 - 20?
2, 3, 5, 7, 11, 13, 17, 19
1, 2, 3, 5, 7, 11, 13, 17, 19
2, 3, 5, 7, 11, 13, 17, 18
2, 3, 5, 7, 11, 13, 17, 19, 20
VC2M6N02 6l) A composite number is:
VC2M6N02 6m) List all square numbers between 1-20 in order.
(a)
VC2M6N02 6n) Select the two square numbers from the list below.
15
10
64
49
35
VC2M6N02 6o) A chessboard has 8 rows and 8 columns. How many squares are there on the board? Is this number a perfect square? Why or why not?
VC2M6N02 6p) What are triangular numbers?
VC2M6N02 6q) Select the two triangular numbers from the list below.
19
10
6
49
12
VC2M6N02 6r) You need to arrange square tiles in a triangular shape. If the first row has 5 tiles, how many tiles are needed in total?
(a)
VC2M7N04 7*) Round the following to the number of decimal places in brackets:
i) 0.344 (a) (nearest tenth) ii) 12.565 (b) (nearest hundredth)
iii) 365.998 (c) (nearest tenth)
VC2M7N01 7a) What is the connection between perfect squares numbers and square roots?
VC2M7N01 7b) Evaluate 11² =
(a)
VC2M7N01 7c) Evaluate √169 =
(a)
VC2M7N01 7d) Evaluate √324 using prime factorisation.
(a)
VC2M7N01 7e) Which two whole numbers does √135 lie between?
(a)
VC2M7N01 7f) Which of the following is the correct arrangement from smallest to largest? √100, √31, 7, 12, √70
√31, √70, 7, √100, 12
√31, 7, √70, √100, 12
√31, 7, √100, √70, 12
√31, 7, √70, 12, √100
VC2M7N01 7g) A square garden has an area of 49 square metres. Find the length of one side of the square. (a) metres
VC2M7N01 7h) Determine the perimeter of a square garden with an area of 144 square metres.
(a)
VC2M7N02 7i) Use index notation to simplify 2 × 2 × 2.
(a)
VC2M7N02 7j) Use index notation to simplify 3 × 3 × 4 × 4 × 4.
(a)
VC2M7N02 7k) Write 4³ in expanded form.
4 × 4 × 4
4 + 4 + 4
4 × 3
3 × 3 × 3
VC2M7N02 7l) Write 2² × 5² in expanded form.
2 x 5
2 + 2 + 5 + 5
2 x 2 x 5 x 5
2 + 5
VC2M7N02 7m) Fill in the missing powers (in order) to represent 4,892 in expanded form: 4 × 10–– + 8 × 10–– + 9 × 10–– + 2 × 10––
(a)
VC2M7N02 7n) What is the prime factorisation of the number 48?
2 x 2 x 2 x 2 x 3
2 x 3 x 4 x 2
3 x 3 x 2 x 2
2 x 2 x 2 x 3 x 3
VC2M7N02 7o) Express the number 48 as a product of its powers using exponent notation.
48 = 2^4 * 3^1
48 = 2^3 * 3^2
48 = 2^2 * 3^3
48 = 2^5 * 3^0
VC2M7N04 7p) You are planning to paint your bedroom walls and ceiling. The total area measures 36.78 square metres. A can of paint covers 8 square metres per litre? How many litres of paint do you need exactly to cover the room if you can only buy paint in litre tins?
4
5
6
7
VC2M8N01 8a) What is an irrational number?
A number that can be expressed as a fraction
A number that cannot be expressed as a fraction
A whole number
A negative number
VC2M8N01 8b) Which group of numbers are irrational?
π, e, √2
2, 3, 5
1/2, 1/3, 1/4
0, 1, -1
VC2M8N01 8ci) Simplify: i) 5^6 x 5^3 (a)
VC2M8N01 8cii) Simplify: ii) 9^6 ÷ 9^2 (a)
VC2M8N01 8ciii) Simplify: iii) (3^4)^3 ___________
(3^4)^3
3^(4*3)
3^12
12^3
VC2M8N01 8civ) Simplify: iv) 9^0 (a)
VC2M9N01 9a) Are the following numbers rational or irrational?
i) √ 2 (a)
ii) 1.75 (b)
iii) 3.14159.. (pi) (c)
VC2M5N06 5a) Solve: 245 x 8 =
(a)
VC2M5N06 5b) Solve: 3225 x 9 =
(a)
VC2M5N06 5c) Solve: 24 x 17 =
(a)
VC2M5N06 5d) Solve: 235 x 18 =
(a)
VC2M5N07 5e) What is the whole number remainder when 735 is divided by 4?
(a)
VC2M5N07 5f) What is the result of 767 ÷ 4. Record your answer with a fraction remainder.
(a)
VC2M5N07 5g) Solve recording your with a decimal remainder: 562 ÷ 4
(a)
VC2M5N08 5h) Round the numbers to the nearest ten and then estimate the answer. DO NOT CALCULATE THE ANSWER. 4841 - 2768 =
2065
2075
2070
2080
VC2M5N08 5i) Round the numbers to the nearest ten and then estimate the answer. DO NOT CALCULATE THE ANSWER. 2638 + 583 =
3225
3215
3230
3220
VC2M5N08 5j) Which estimate is closest to the answer of this number sentence? DO NOT CALCULATE THE ANSWER. 48 × 39
1500
2000
2500
3500
VC2M5N09 5k) You and your friends plan a movie marathon. Each movie is 2 hours long, and you plan to watch 3 movies with 15-minute breaks between each. How many total minutes will you spend watching movies and taking breaks?
360 minutes
375 minutes
390 minutes
405 minutes
VC2M5N09 5l) A car travels at a constant speed of 70 km/h. How far will it travel in 13 hours?
(a)
VC2M5N08 5m) Calculate the total costs of expenses: Item - Amount Balloons - $13.40 Streamers - $21.75 Refreshments - $62.98 Cutlery - $13.82 Total: ____________
$111.95
$121.95
$100.95
$130.95
VC2M5N08 5n) Without doing any calculations, estimate the total cost of these items to the nearest dollar: Book: $12.80, Paper: $3.15 Card: $1.20
(a)
VC2M5N09 5q) Courtney pays $738 for a car service, $598 in car registration fees and $87 for petrol. How much money does she have left in her account if she saved up $1500?
(a)
VC2M5N09 5r) Bobby pays $12,215 a year in rent. How much has he paid over the last 5 years?
(a)
VC2M6N04 6a) Solve: 12.068 + 2.92 =
(a)
VC2M6N04 6b) Solve 10.409 - 2.507 =
(a)
VC2M6N06 6c) 0.025 x 1000 = _________
25
2.5
250
0.25
VC2M6N06 6d) 12.03 ÷ 1000 =
0.1203
1.203
0.01203
12.03
VC2M6N09 6e) A bakery has $2,450 to spend on cupcake decorating supplies. If each pack of sprinkles costs $8, how many packs can they buy?
(a)
VC2M6N09 6f) The number of viewers for a local film festival grew from 14,823 in 2022 to 21,357 in 2023. By how many people did the viewership increase?
(a)
VC2M6N09 6g) A toy store buys 35 boxes of action figures. Each box contains 24 figures. How many figures are there in total?
(a)
VC2M7N08 7a) Choose the correct sign (<, = or >) to make this statement true.
-8 + -2 (a) -9
VC2M7N10 7b) Determine the 'best buy'. What is the price per 50g to the nearest cent?
Option A: Box with 500g for $3.75
Option B: Bag with 750g for $5.20
(a)
VC2M7N10 7c) Determine the 'best buy'. What is the price per 100g?
Product A:
Price: $2.50
Weight: 200 grams
Product B:
Price: $3.80
Weight: 300 grams
(a)
VC2M7N05 7k) 3.6 x 4.5 =
(a)
VC2M7N05 7l) 5.88 ÷ 1.4 =
(a)
VC2M7N06 7m) A rectangular picture frame measures 8.2 cm by 10.5 cm. Find the area of the picture frame.
(a)
VC2M7N06 7o) A group of friends wants to rent bikes for a day. Bike rentals cost $5.75 per hour. They plan to rent the bikes for a total of 3.25 hours. If they split the cost evenly between 4 friends, how much will each friend pay? (Round your answer to two decimal places)
(a)
VC2M8N04 8a) Solve: -28 + -31 =
-59
3
59
-3
VC2M8N04 8b) Solve: i) 16 x -4 = (a)
VC2M8N04 8c) Solve: iv) -95 ÷ -5 = (a)
VC2M8N04 8d) A rectangular garden has a length that is twice its width. The perimeter of the garden is 36 metres. What is the length? (a) metres
VC2M5A01 5a) Consider the number sentence: 6 x 8 = 48. Here are two related number sentences: 6x8=48 and 48 ÷ 6 = 8. What are the other two? Note: / = ÷ AND * = x
(a)
VC2M5A01 5b) 240 ÷ 20 = ? can be solved by using 20 x (a) = 240
VC2M5A01 5b) 17 x ? = 221 can be solved by using 221 ÷ ____ = _____
(a)
VC2M5A01 5ci) Fill in the blank to make the number sentence true. i) 6 x (a) = 8 x 3
VC2M5A01 5cii) Fill in the blank to make the number sentence true. 9 x 4 = (a) x 6
VC2M5A02 5di) Fill in the blank to make the number sentence true. 24 ÷ (a) = 16 ÷ 4
VC2M5A02 5di) Fill in the blank to make the number sentence true. 30 ÷ 6 = (a) ÷ 2
VC2M5N10 5g) Rule: If a number is odd, multiply by 3 and add 1. If a number is even, divide by 2.
The starting number is 3. Follow the pattern until you reach the missing number (?). What is the missing number?
(a)
VC2M6A01 6a) What is the 30th number in the below number sequence?
(a)
VC2M6A01 6b) How many matchsticks would be used in the 25th configuration?
(a)
VC2M6A02 6ci) Solve: 3+4×2 = (a)
VC2M6A02 6cii) Solve: 8−2×3+5 = (a)
VC2M6A02 6ciii) Solve: 12÷3×2+4−2 = (a)
VC2M6A02 6civ) Solve: 5+3×(4−2)2 = (a)
VC2M7A01 7a) Write an algebraic expression for the following equations:
i) 7 less than t (a)
ii) The sum of 12 and r (b)
iii) Half of y (c)
iv) The product of 4 and e (d)
VC2M7A01 7b) Write a formula using variables for the following scenario:
'Calculating the total cost (C) of buying apples at a $3 per apple (a).'
(a)
VC2M7A01 7c) Evaluate each expression using substitution.
i) 7a (a =3) (a)
ii) 4a ÷ a (a =4) (b)
iii) 4x + 5y (x =2 , y =5) (c)
iv) 2y/x (x =2 , y =5) (d)
VC2M7A01 7d) Solve for the unknown variable in the formula P = 2l + 2w, given P = 20 cm and l = 6 cm.
(a)
VC2M7A01 7e) A taxi charges a base fare of $5 plus $2 per km (k). Write the formula to find the total cost (C) of a ride.
(a)
VC2M7A02 7f) Simplify the below expressions:
i) x + x + y + y + y + y (a)
ii) 7s - 4t + 5s - 2t (b)
iii) 5y - 2x^2 + 3y + 9x (c)
VC2M7A02 7g) Simplify the below expressions.
i) 2P x Y x 3P (a)
ii) 6z / 18 (b)
iii) 3c^2b / 15c (c)
VC2M7A02 7h) Simplify the following algebraic expression: 4(a+b) - 3(2a-5b).
(a)
VC2M7A03 7i) Solve for the variable:
i) 152 = 8y // y = (a)
ii) 120 - y = 65 // y = (b)
iii) w/7 = 3 // w = (c)
VC2M7A03 7i) Solve for the variable:
i) 152 = 8y // y = (a)
ii) 120 - y = 65 // y = (b)
iii) w/7 = 3 // w = (c)
VC2M7A04 7ki) What is the gradient of the section of the graph for the first two hours?
(a)
VC2M7A04 7kii) What is the gradient of the section of the graph for the last two hours?
(a)
VC2M7A04 7kiii) Describe the different slopes in this graph. What do they tell you?
VC2M7A04 7kiv) What is the range of this graph?
(a)
VC2M7A05 7l) Consider the function f(x) = 2x +3 . Generate a table of values for the function, with x ranging from -3 to 3.
VC2M7A06 7m) Plot the below relationship on the Cartesian plane:
VC2M8N06 8i) A store bought a batch of 120 identical items at a cost price of $5 each. The store sells these items at a selling price of $8 each. What is the profit made by the store from selling the entire batch?
(a)
VC2M8A01 8a) Expand the expression below: (2x + 4)(y - 1)
(a)
VC2M8A01 8b) Expand the expression below: 3(5x - 2) + 4(x + 1)
(a)
VC2M8A01 8ci) Factorise 5a + 35.
(a)
VC2M8A01 8cii) Factorise 27xy - 3x.
(a)
VC2M8A01 8di) Factorise 9ab^2 + 15a^2.
(a)
VC2M8A01 8dii) Factorise 8y^4 + 5y^2.
(a)
VC2M8A01 8e) Rearrange the expression 4y - 7 = 2x to make y the subject.
(a)
VC2M8A01 8fi) Simplify -5 * y^2 * -y * 7.
(a)
VC2M8A01 8fii) Simplify 7 * a^2 * a ^4 * -4
(a)
VC2M8A01 8gi) Simplify 27b^7 ÷ 15b^3.
(a)
VC2M8A01 8gii) Simplify 9y^4 ÷ 45y^7.
(a)
VC2M8A01 8hi) Simplify 2w (4 - x) + 5w.
(a)
VC2M8A01 8hii) Simplify x^2(x + y) + 4x^3.
(a)
