Mathematics Quiz Chapter 1

Question 1

• Factorise 2x + 10 + dx + 5d: (x + 5)(2 + d)

Question 2

• Use trigonometry to find x in a triangle with sides 15 and 6 and angle 72°: x = 15 cos 72°

Question 3

• Find the value of x using Pythagoras' theorem: x = 3√21

Question 4

• Expand and simplify 3x(x + 1) + x(x − 4): 4x² − x

Question 5

• Identify the coordinates of the turning point of a parabola graph: (1, -3)

Question 6

• Rationalise and simplify 6√3/√2: 3√6

Question 7

• Calculate x – z – y when x = 2/3, y = 1/6 and z = 1/6: 13/4, or 3.25

Question 8

• Calculate 280 ÷ 1.4 = 200. So, 28 ÷0.14: 200

Question 9

• Convert 25 inches to centimetres: 63.5 cm

Question 10

• Find the value of Z in a triangle using the pattern of squares: Z = 6

Question 11

• How many students were surveyed: 40

Question 12

• How many students played tennis only: 13

Question 13

• How many students neither played tennis nor badminton: 2

Question 14

• Calculate the volume of a swimming pool (with dimensions 1.8m and 1.1m depth): 2970L

Question 15

• Simplify (4√3 – √5)²: 53 - 8√15

Question 16

• Calculate the cost of paint for a room with dimensions 43.2m x 29.1m, with 1 tin covering 450m² and costing $3.20: $6.48

Question 17

• Calculate the total number of audience members at a conference given that 240 were researchers, and represented 60% of the total: 400

Question 18

• Calculate the number of doctors at the conference given that there were 400 total people, and 240 researchers: 160

Question 19

• Find an equation to identify the value of z if z² is subtracted from 3 times its cube and the result is 33 : 3z³ - z² = 33

Question 20

• Identify the set of coordinates inside a shaded area: (-1, -3)

Question 21

• Identify coordinates of a point outside a shaded area: (0, 5)

Question 22

• Identify the gradient of a linear graph: -7

Question 23

• Identify the equation of a linear graph: y = -7x + 10

Question 24

• Calculate the hourly pay of Tim given that he was paid $313 after working 20 hours: $15.65

Question 25

• Find the intersection point of y = 3 - 2x and y = x²: (1, 1)

Question 26

• Calculate the time Laura finished reading a book given she started at 2:55pm and read for 2 hours: 4:55pm

Question 27

• Calculate the side length of a square given its area is 1.44cm²: 1.2cm

Question 28

• Calculate the area of a triangle in a grid where each square has an area of 1.44cm²: 6.48 cm²

Question 29

• Calculate the area of a circle with a radius of 1.8 cm: 10.17cm²

Question 30

• Simplify (2w + 4)(2w – 4): 4w² - 16

Question 31

• Calculate -(-4)³ : 64

Question 32

• Calculate C given A = B(C – 4)/2D: C = AB/2D + 4

Question 33

• Calculate the volume of a rectangular prism with dimensions 2cm x 5cm x 7cm: 70cm³

Question 34

• Calculate the mass of the rectangular prism if density = 1.4g/cm³ and volume = 70cm³: 98g

Question 35

• Calculate the surface area of a rectangular prism with dimensions 2 x 5 x 7 cm²: 118cm²

Question 36

• Calculate the cost of gift wrapping paper for a present with the same dimensions, given it's sold at $0.42 for 20cm²: $2.48

Question 37

• Calculate the probability of rolling a 7 when rolling two six-sided dice: 1/6

Question 38

• Identify the equation of a graph given its shape: y =4x+2 (y-intercept positive and a positive gradient)

Question 39

• Identify the gradient of a linear graph given x-intercept (2.0) and y-intercept (0, -5) : -2.5

Question 40

• Simplify (2x0) × (3x3)0: 2

Question 41

• Rewrite 2¹² in other forms: (√21)²

Question 42

• Simplify x³y²/4x²y³: 9x/2y

Question 43

• Calculate the discounted price of a $2400 refrigerator with a 15% discount: $2040

Question 44

• Predict the next number in the sequence considering the pattern in the table. : 51

Question 45

• Find the row and column the number 77 resides in the table. : Column VII row H

Question 46

• Calculate the date of the following Thursday given last Saturday was September 17th: September 23rd

Question 47

• Calculate when a person born 3 years before Erin in 2001 was born: 1990

Question 48

• Simplity 2√40 : 4√10

Question 49

• Calculate the new price of a $1200 smart phone that decreased in value by 25%: $900

Question 50

• Identify the shape in the diagram: Triangular based pyramid

Test your knowledge with this Mathematics quiz focused on various concepts including algebra, trigonometry, and geometry. Each question is designed to challenge your understanding and application of mathematical principles.