Mathematics Basics Quiz
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Questions and Answers

What is the coefficient of a in the expression $30 - 40a + 5$?

  • -1
  • -4 (correct)
  • 5
  • 3

    • Which of the following is the result of subtracting 3 from both sides of the equation $12x - 3 = 27$?

  • $12x - 6 = 24$
  • $12x - 6 = 30$
  • $12x = 30$
  • $12x = 24$ (correct)

    • Which expression correctly represents 'the square of the sum of a and c'?

  • $a + c^2$
  • $a^2 + c^2$
  • $(a + c)^2$ (correct)
  • $(a^2 + c)$

    • Which statement about angles is false?

    <p>A revolution is between 270° and 360°.</p> Signup and view all the answers

    Which angle is adjacent to angle ÐAXB?

    <p>ÐBXC</p> Signup and view all the answers

    Which section of the exam is worth the most marks?

    <p>Section C</p> Signup and view all the answers

    What is the total time allowed for the examination?

    <p>70 minutes</p> Signup and view all the answers

    Which of the following materials is allowed for use during this examination?

    <p>NESA approved calculators</p> Signup and view all the answers

    How many marks is each section in the final score out of?

    <p>14 marks</p> Signup and view all the answers

    In what format should answers be written for the exam?

    <p>Using black or blue pen</p> Signup and view all the answers

    What should be done in the space provided for short answer questions?

    <p>Answer concisely with calculations</p> Signup and view all the answers

    How many total questions should a student attempt in Section A?

    <p>20 questions</p> Signup and view all the answers

    Which of the following statements is true regarding the use of diagrams?

    <p>Diagrams can be drawn in pencil</p> Signup and view all the answers

    Which of the following symbols would not belong in the blank space for the expression 8 ÷ 4 _____ 1.8?

    <p>»</p> Signup and view all the answers

    If the temperature rose by 6° to reach 4°C, what was the original temperature?

    <p>-2°C</p> Signup and view all the answers

    Which of the following represents 0.0083 in another form?

    <p>8.3 × 10^{-3}</p> Signup and view all the answers

    What is the reciprocal of 4/9?

    <p>9</p> Signup and view all the answers

    What is the total mass if you sum 50 g, 750 g, and 2.5 kg?

    <p>1050 g</p> Signup and view all the answers

    What temperature is indicated on the thermometer if the choices are 23°C, 25°C, 26°C, and 27°C?

    <p>26°C</p> Signup and view all the answers

    What is the perimeter of a rectangle with a width of 3 cm and an area of 15 cm²?

    <p>16 cm</p> Signup and view all the answers

    What is the total time of 3 hours 40 minutes and 2 hours 40 minutes combined?

    <p>5 hours 20 minutes</p> Signup and view all the answers

    Study Notes

    Multiple Choice Questions

    • Question 1: The symbols provided are: » (much greater than), ≤ (less than or equal to), > (greater than), and ¹ (one). The correct answer is ⁸ (one) as it does not relate to the mathematical operation of division.
    • Question 2: If the temperature rose by 6°C to reach 4°C, the initial temperature was 4°C - 6°C = -2°C.
    • Question 3: Given the fraction 2/3, converting this to a decimal gives 0.666666... Rounded to 3 decimal places, this becomes 0.667.
    • Question 4: The reciprocal of a number is 1 divided by that number. Therefore, the reciprocal of 4/3 is 3/4.
    • Question 5: To find the sum of 50g, 750g and 2.5kg, convert all values to grams: 2.5kg = 2500g. The total then becomes 50g + 750g + 2500g = 3300g.
    • Question 6: Based on the provided image, it is evident that the temperature is 26°C.
    • Question 7: Given that the area of a rectangle is length times width, and the area is 15cm² and the width is 3cm, the length is 15cm² / 3cm = 5cm. The perimeter is then 2*(5cm + 3cm) = 16cm.
    • Question 8: Adding 3 hours 40 minutes and 2 hours 40 minutes results in 6 hours and 80 minutes. Since there are 60 minutes in an hour, this is equivalent to 6 hours and 20 minutes.
    • Question 9: Substituting x = -2 into the equation 3x+y=1 gives -6+y=1. The value of y is then 1+6=7.
    • Question 10: The expression for "the square of the sum of a and c" is (a+c)².
    • Question 11: In the expression 3a-4a, the coefficient of a is -1, as it precedes and multiplies a.
    • Question 12: Subtracting 3 from both sides of the equation 12x-3=27 gives 12x=30.
    • Question 13: The angle in the diagram is a straight angle, which is 180 degrees.
    • Question 14: A 90° angle is a right angle, not acute. A straight angle is 180°, which is the size of two right angles.
      • False Statements: A revolution is 360°. An obtuse angle is between 90° and 180°.
    • Question 15: The adjacent angle to AXB is DXB, as they share a common side and vertex.
    • Question 16: 9: ⊥ The line segment perpendicular to the line segment is not clear and can't be determined using the provided information.

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    2023 Year 7 Yearly Examination - Solutions (1) PDF

    Description

    Test your understanding of basic mathematics concepts including operations, temperature conversions, fractions, and geometry. This quiz covers various problems that challenge your numerical reasoning and calculations. See how well you can apply your mathematical knowledge in practical scenarios.

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