Math Y7

• Write the number seventy-four in:

  • Babylonian numerals
  • Roman numerals
  • Egyptian numerals
• Write the numeral for:

  • 6 × 10,000 + 7 × 1,000 + 8 × 100 + 4 × 10 + 9 × 1
  • 7 × 100,000 + 8 × 100 + 5 × 10
• Calculate:

  • 96,481 + 2,760 + 82
  • 10,963 − 4,096
  • 147 × 3
  • 980 × 200
  • 4,932 ÷ 3
  • 9,177 ÷ 12
• State whether each of the following is true or false:

  • 18 < 20 − 2 × 3
  • 9 × 6 > 45
  • 23 = 40 ÷ 2 + 3
• How much more than 17 × 18 is 18 × 19?
• Calculate:

  • 7 × 6 − 4 × 3
  • 8 × 8 − 16 ÷ 2
  • 12 × (6 − 2)
  • 16 × [14 − (6 − 2)]
  • 24 ÷ 6 × 4
  • 56 − (7 − 5) × 7
• State whether each of the following is true or false:

  • 4 × 25 × 0 = 1,000
  • 0 ÷ 10 = 0
  • 8 ÷ 1 = 1
  • 8 × 7 = 7 × 8
  • 20 ÷ 4 = 20 ÷ 2 ÷ 2
  • 8 + 5 + 4 = 8 + 9
• Insert brackets to make 18 × 7 + 3 = 18 × 7 + 18 × 3 true
• How many times can 15 be subtracted from 135 before an answer of zero occurs?
• Write 3,859,643 correct to the nearest:

  • 10
  • thousand
  • million
• Using numerals, thirty-five thousand, two hundred and six is:

  • 35,000,206
• The place value of 8 in 2,581,093 is:

  • 8 hundred
• The remainder when 23,650 is divided by 4 is:

  • 2
• Fractions:

  • Arrange 1/2, 1/3, 2/5, and 3/10 in ascending order
  • Express 5 2/3 as an improper fraction
  • Perform various fraction calculations like addition, subtraction, multiplication, and division
• Write 15% as a simple fraction

  • Find percentages of amounts
  • Determine the truth of statements involving percentages
• Algebra:

  • Simplify algebraic expressions
  • Evaluate expressions for given values
  • Solve algebraic equations
• Decimals:

  • Convert fractions to decimals
  • Round decimals to different decimal places
  • Perform decimal calculations like addition, subtraction, multiplication, and division
• Extended-response questions:

  • Solve word problems involving fractions, percentages, algebra, and decimals
• Negative numbers:

  • For each of the following, insert =, > or <:
  • a: -3 < 3
  • b: -10 ÷ 2 = 5
  • c: -20 × (-1) = -40
  • Calculate:
  • a: -5 + (-8)
  • b: 12 - 96
  • c: -12 - 96
  • d: -4 - 8 - 9
  • e: -12 + 96
  • f: -7 - (-7)
  • Find:
  • a: -6 × 4
  • b: -9 × 8 × (-1)
  • c: (-12)^2
  • d: -9 × (-7)
  • e: -150 ÷ (-2 - 3)
  • f: -10 + 7 × (-3)
  • State whether the answer to each of the following is positive or negative:
  • a: -3 × (-3) × (-3)
  • b: -109 × 142 × (-83)
  • c: -2 × (-1 - (-3))
• Multiple-choice questions:

  • Which of the following statements is incorrect?
  • A: -2 > -4
  • B: 0 < 5
  • C: 0 < -10
  • D: -9 < -8
  • E: -5 < 3
  • 12 + (-9) - (-3) is the same as:
  • A: 12 + 9 + 3
  • B: 12 - 9 + 3
  • C: 12 - 9 - 3
  • D: 12 - 12
  • E: 12
  • If a = -3, the value of a^2 × -2 is:
  • A: 36
  • B: -36
  • C: 18
  • D: -18
  • E: 12
  • The point that is 3 units below (3, 1) has coordinates:
  • A: (0, 1)
  • B: (0, -2)
  • C: (0, -1)
  • D: (3, 4)
  • E: (3, -2)
  • 12 × (-4 + (-8) ÷ 2) equals:
  • A: -96
  • B: 72
  • C: -72
  • D: 60
  • E: 96
• Extended-response question:

  • Refer to the given Cartesian plane when answering these questions:
  • Name any point that lies in the first quadrant
  • Name any point(s) with a y-value of zero. Where does each point lie?
  • Which point has coordinates (-1, -2)?
  • Find the distance between points:
  • A and B
  • D and E
  • What shape is formed by joining the points IDAG?
  • What is the area of IDAG?
  • ABXD are the vertices of a square. What are the coordinates of X?
  • Decode: (2, 2), (2, -3), (0, 2), (-1, 2), (2, 2), (2, -3)
• Statistics and probability:

  • For the set of numbers 1, 2, 5, 5, 8:
  • List them in ascending order
  • How many numbers are in the set?
  • Calculate the:
  • mean
  • mode
  • median
  • range
  • If each number in the set is doubled, what is the new mean?
  • A spinner is designed with different numbers in each sector. From the spinners A to D shown below:
  • Which spinner has the lowest probability of landing on the number 1 in a single spin?
  • Which spinner has a 50% probability of landing on the number 1 in a single spin?
  • List the spinners in order, from the most likely to land on the number 1 to the least likely.
  • One card is randomly selected from a standard deck of 52 playing cards. Find the probability that the selected card is:
  • red
  • black
  • a heart
  • an ace
  • a king
  • a red 7
• Extended-response question:

  • A pack of playing cards includes 13 cards for each suit: hearts, diamonds, clubs, and spades. Each suit has an ace, king, queen, jack, 2, 3, 4, 5, 6, 7, 8, 9, and 10. One card is drawn at random from the pack. Find the following probabilities:
  • Pr(heart)
  • Pr(club)
  • Pr(diamond or spade)
  • Pr(ace of hearts)
  • Pr(number less than 4)
  • Pr(king)
  • Pr(ace or heart)
  • Pr(queen or club)
• Polygons and transformations:

  • Name each of the following shapes
  • Find the value of a:
  • a: a° = 40°
  • b: a° = 50°, 85°
  • c: a° = 80°, 20°
• Polygons and transformations:

  • For each of the following, find the value of every pronumeral:
  • a: a°
  • b: a° = 65°
  • c: a° = 65°, 80°, 100°
  • d: a°, b° = 110°, 70°
  • e: a° = 55°, 60°
  • f: a°, c°, d°, b° = 67°, 48°
  • State the coordinates of the vertices of the image triangle (A', B', and C') if triangle ABC is transformed in the following ways:
  • a: reflected in the x-axis
  • b: reflected in the y-axis
  • c: rotated about O(0, 0) by 90° clockwise
  • d: rotated about O(0, 0) by 90° anticlockwise
  • e: rotated about O(0, 0) by 180°
  • f: translated 4 units to the left and 1 unit up
  • g: translated 3 units to the left and 2 units down
• Multiple-choice questions:

  • A survey asked 60 participants their favorite color. The results are shown below:
  • Blue: 12
  • Pink: 20
  • Green: 6
  • Purple: 12
  • Black: 10
  • If a divided bar graph 10 cm long is constructed to display the data, the length required for purple would be:
  • A: 12 cm
  • B: 2 cm
  • C: 1 cm
  • D: 5 cm
  • E: 3 cm
  • If the results are shown as a sector graph, the size of the smallest sector would be:
  • A: 36°
  • B: 6°
  • C: 10°
  • D: 60°
  • E: 30°
  • For the set of numbers 1, 5, 2, 10, 1, 6, the difference between the mode and median is:
  • A: 5.5
  • B: 2.5
  • C: 3.5
  • D: 3.2
  • E: 2
  • For the set of numbers 3, 2, 1, 5, 7, 3, 1, 3, the mean is:
  • A: 3
  • B: 5
  • C: 6
  • D: 22.375
  • E: 3.125
  • Which of the following sets of numbers has a mode of 3 and a mean of 2?
  • A: 1, 1, 2, 2, 3
  • B: 2, 2, 2, 4, 5
  • C: 1, 2, 3, 4, 5
  • D: 1, 3, 3, 3, 0
  • E: 1, 2, 3, 3, 3
• Extended-response question:

  • Refer to the given Cartesian plane when answering these questions:
  • Name any point that lies in the first quadrant
  • Name any point(s) with a y-value of zero. Where does each point lie?
  • Which point has coordinates (-1, -2)?
  • Find the distance between points A and B, and D and E
  • What shape is formed by joining the points IDAG?
  • What is the area of IDAG?
  • ABXD are the vertices of a square. What are the coordinates of X?
  • Decode: (2, 2), (2, -3), (0, 2), (-1, 2), (2, 2), (2, -3)
• Which of the following names correctly describes a 6-sided polygon?

  1. decagon
  2. quadrilateral
  3. pentagon
  4. nonagon
  5. hexagon
• A quadrilateral with 4 equal sides is best described as a:

  1. rectangle
  2. rhombus
  3. trapezium
  4. kite
  5. plane
• How many axes of symmetry are in an equilateral triangle?

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4
• Which of the following statements is true?

  1. All rectangles are squares.
  2. A regular triangle is called an isosceles triangle.
  3. A square is a rhombus with all angles equal.
  4. A trapezium is also a rectangle.
  5. An isosceles triangle has three equal angles.
• The order of rotation of a parallelogram is:

  1. 2
  2. 4
  3. 3
  4. 0
  5. 1
• Solve:

  1. x + 9 = 12
  2. x - 9 = 12
  3. 9x = 12
• Solve:

  1. 3x + 3 = 9
  2. x^2 + 6 = 12
  3. 3(m - 1) = 18
• If y = mx + b, find:

  1. y when m = 3, x = 4, and b = 8
  2. b when y = 20, m = 4, and x = 4
  3. m when y = 36, x = 3, and b = 12
• If P = S - C, find:

  1. P when S = 190 and C = 87
  2. S when P = 47.9 and C = 13.1
  3. C when P = 384 and S = 709