Math Problem Statement
Answer all questions
Solution
I'll address all the questions in the image you uploaded, one by one.
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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.
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2 x 28.7 x 5
- 2 x 28.7 = 57.4
- 57.4 x 5 = 287
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£50.00 + £40
- £50.00 + £40 = £90.00
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Find 28% of £28.00
- 28% of £28 = (28/100) * 28 = £7.84
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What percentage is 6p of £2.00?
- (6p / £2.00) * 100 = 3%
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Which two consecutive numbers have a product of 56?
- 7 x 8 = 56
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Multiply 40 by 1 ½
- 1 ½ = 3/2.
- 40 x 3/2 = 60
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Find √81
- √81 = 9
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The drawing shows a rectangle. Calculate angle x.
- Since the rectangle's angles are all 90°, the angle x must be 90°.
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What number is one more than 999,999,997?
- 999,999,998
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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
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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
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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
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How many km are equal to 0.35 of 9km?
- 0.35 * 9 = 3.15 km
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Multiply 40 by 1 ½
- 40 x 1.5 = 60
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Write 9345 thousandths as a decimal.
- 9345 thousandths = 0.009345
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Write 9345 thousandths as a decimal.
- 9345 thousandths = 0.009345
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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
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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
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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°
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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
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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
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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
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