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Maths Unit 7 Review

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  • A plane journey starts at 10:20 a.m. and ends at 4:50 p.m. How long is the journey? Express your answer: a) As a decimal in hours b) As a mixed fraction in hours
    a) 6.5 hours b 6 1/2
  • A flight lasts 3 hours and 45 minutes. Express this time as a decimal in hours.
    3.75
  • A rectangular park is 40 m by 28 m. A triangular playground occupies one-third of the rectangle's area. What is the area of the triangular playground?
    Rectangle Area = 40 × 28 = 1120 m² Area of Triangle = 1/3 × Rectangle Area = 1/3 × 1120 = 373.33 m² (rounded to 373 m²)
  • A marathon takes 4.58 hours to complete. Convert this time into hours and minutes.
    Time = 4.58 hours Hours = 4, Minutes = 0.58 × 60 = 34.8 (rounded to 35 minutes) Answer: 4 hours and 35 minutes
  • A rectangle measures 18 cm by 12 cm. A triangle is drawn within it, occupying exactly three-quarters of the rectangle's area. What is the area of the triangle?
    Rectangle Area = 18 × 12 = 216 cm² Area of Triangle = 3/4 × Rectangle Area = 3/4 × 216 = 162 cm²
  • An irregular triangle has a base of approximately 25 cm and height of 19 cm. Estimate the area and round to the nearest whole number.
    Base = 25 cm, Height = 19 cm Estimated Area = 1/2 × Base × Height = 1/2 × 25 × 19 = 237.5 cm² (rounded to 238 cm²)
  • An event lasted 2 hours and 35 minutes. Express this time as a decimal in hours.
    Question 2: Time = 2 hours and 35 minutes Convert minutes to decimal: 35 ÷ 60 = 0.583 Answer: 2.583 hours
  • A movie lasts 2.75 hours. Convert this time into hours and minutes.
    2h 45mins
  • A triangle has a base of approximately 7 cm and a height of 5 cm. Estimate its area.
    17.5sqcm
  • A rectangular garden measures 24 m by 16 m. A triangular flower bed takes up half the area of the rectangle. What is the area of the flower bed?
    192sqcm