Math Problem Statement

Answer all questions

Answer all questions from the image.

Solution

I'll address all the questions in the image you uploaded, one by one.

  1. At the San Marcon Formula 1 racing circuit the lap record is 53.65s. How many seconds is this less than 2 minutes?

    • 2 minutes = 120 seconds.
    • 120 seconds - 53.65 seconds = 66.35 seconds.
  2. 2 x 28.7 x 5

    • 2 x 28.7 = 57.4
    • 57.4 x 5 = 287
  3. £50.00 + £40

    • £50.00 + £40 = £90.00
  4. Find 28% of £28.00

    • 28% of £28 = (28/100) * 28 = £7.84
  5. What percentage is 6p of £2.00?

    • (6p / £2.00) * 100 = 3%
  6. Which two consecutive numbers have a product of 56?

    • 7 x 8 = 56
  7. Multiply 40 by 1 ½

    • 1 ½ = 3/2.
    • 40 x 3/2 = 60
  8. Find √81

    • √81 = 9
  9. The drawing shows a rectangle. Calculate angle x.

    • Since the rectangle's angles are all 90°, the angle x must be 90°.
  10. What number is one more than 999,999,997?

    • 999,999,998
  11. 1/5 is approximately 0.33 when written as a decimal fraction. Write approximate decimal fractions for: a) 1/3 = 0.33 b) 1/8 = 0.125

  12. One can of Croak holds 330 mL. Write, in liters, how much Croak there is in six cans.

    • 330 mL x 6 = 1980 mL
    • 1980 mL = 1.98 liters
  13. Jack has £1.27 and Jill has £2.18. They decide to spend one fifth of their total money on vinegar. How much do they spend?

    • Total money = £1.27 + £2.18 = £3.45
    • One fifth of £3.45 = £3.45 / 5 = £0.69
  14. How many km are equal to 0.35 of 9km?

    • 0.35 * 9 = 3.15 km
  15. Multiply 40 by 1 ½

    • 40 x 1.5 = 60
  16. Write 9345 thousandths as a decimal.

    • 9345 thousandths = 0.009345
  17. Write 9345 thousandths as a decimal.

    • 9345 thousandths = 0.009345
  18. A wine bottle holds 75 cL. How many mL does it hold when it is 1/3 full?

    • 75 cL = 750 mL
    • 1/3 of 750 = 250 mL
  19. A regular pentagon has one side of length 30 cm. Find in cm: a) the perimeter of the pentagon:

    • Perimeter = 5 x 30 = 150 cm

    b) the length of one side of the equilateral triangle with the same perimeter:

    • Perimeter = 150 cm, and for an equilateral triangle, each side is 150 / 3 = 50 cm
  20. If the triangle is isosceles, calculate the size in degrees of angles a and b.

    • The sum of all angles in a triangle is 180°.
    • Angles a and b are equal, so 180 - 90° = 90°.
    • Angle a = Angle b = 45°
  21. The set of fractions above are equivalent. Find the missing numerators x, y, and z.

    • (2/3) = (4/6) = (x/9) = (y/12) = (z/18).
    • x = 6, y = 8, z = 12
  22. A fence is made of panels 3m long held by posts placed every 3m. If the fence is to be 36m long how many: a) panels are required:

    • 36m / 3m = 12 panels

    b) posts are required:

    • Posts are placed at the ends, so 12 panels would require 13 posts: 13 posts
  23. There are 600 pupils in years 7, 8, and 9. Last Tuesday 97% were in school. How many pupils were absent?

    • 97% of 600 = 0.97 * 600 = 582
    • Absent pupils = 600 - 582 = 18 pupils

Let me know if you need any further clarification or details on any specific question! Would you like to explore more related concepts?


Tip: When working with percentages, it helps to convert percentages to decimals (by dividing by 100) to simplify calculations. For example, 28% becomes 0.28 when you divide 28 by 100.

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Math Problem Analysis

Mathematical Concepts

Percentages
Geometry
Basic Arithmetic
Perimeter
Ratios

Formulas

Percentage formula: (part/whole) * 100
Perimeter of polygon: side * number of sides

Theorems

Pythagorean theorem
Properties of isosceles triangles

Suitable Grade Level

Grades 7-9