Maths Lit Paper 2 Prelim Exam 2025 | EC

Main ideas / concepts covered

• The video is a walkthrough of typical Maths Literacy Paper 2 exam questions (EC context), showing how to:
  • interpret diagrams (e.g., maps, classroom plans, seating plans),
  • apply conversions,
  • solve word problems using proportions, ratios, percentages, and geometry.
• A repeated theme is following the exact question wording (for example: “simplified ratio” vs “unit form”; “nearest cm” vs “to 2 decimals”).
• Another recurring emphasis: ensure units match before calculating.
• The presenter often highlights:
  • Counting items from diagrams for direct “how many” questions.
  • Using ratios/proportions to compare groups and scale quantities.
  • Using conversion ladders with the correct direction (multiply vs divide).
  • Using geometry formulas (circumference, area, volume).
  • Applying rounding rules correctly:
    • round up for paint/coverage costs,
    • round down for “fit in the space” style problems.
  • Verifying answers by computing and comparing results.

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Detailed methodology & instruction-style steps (as shown in the subtitles)

1) Classroom layout: determine learners writing the exam

• Learners appear in a classroom diagram (different positions labeled by grade).
• Count all learners shown.
• The intended total is 21.

2) Ratio simplification (Grade 8 : Grade 11)

• Count grade 8 learners: 9.
• Assume the rest are grade 11 learners:
  • Total = 21 → grade 11 = 21 − 9 = 12
• Form the ratio: 9 : 12
• Simplify by dividing both parts by their common factor:
  • Common factor = 3 → 9/3 : 12/3 = 3 : 4
• Final simplified ratio: 3 : 4

3) Windows count

• Identify window symbols on classroom edges.
• Count window groups:
  • 3 windows on one side + 2 windows on the other
• Total windows = 5

4) Door direction (clockwise vs anticlockwise)

• Determine the door’s opening direction by imagining the door swing from the closed position.
• Compare the swing direction with clock movement (12 → 3 → 6 → 9).
• If it matches clockwise when opening: answer clockwise.

5) Convert length to millimeters (longest wall)

• Identify the longest side (8.5 vs 7.9 → longest is 8.5).

• Use the length conversion ladder: km → m → cm → mm

• Between steps multiply by 1000, 100, 10 respectively.

• Convert metres to millimetres (overall ×1000).
• Example: 8.5 m = 8500 mm

6) Coffee cost per milliliter (proportion)

• Given: 250 mL costs 15 rand
• Find cost for 1 mL by scaling to a “per 1 mL” quantity.
• Result shown: 0.06 rand per 1 mL (≈ 6 cents)

7) Convert milliliters to liters (capacity)

• Use capacity ladder: milliliters ↔ liters uses 1,000
• Convert 500 mL to liters:
  • 500 / 1000 = 0.5 L

8) Capacity at 95% of filled amount

• “Filled to 95% capacity” means:
  • actual amount = 0.95 × full capacity
• Example:
  • 95% of 500 mL = 0.95 × 500 = 475 mL
• Interpret “capacity” as: how much liquid the container can hold.

9) Mirror: interpret scale and compute diameter + circumference

(a) Scale meaning

• Scale “1 to 5” means:
  • 1 cm on the diagram = 5 cm in real life

(b) Diameter from diagram radius

• Use: Diameter = 2 × radius
• Then round to the nearest cm.

(c) Circumference using formula

• Use: C = 2πr
• Use π = 3.142 and the scaled radius.
• Round appropriately.

(d) Definition in context

• Circumference = total distance around the circle (applied to the mirror edge).

10) Tennis stadium map: directions + seat ratios + probability style reasoning

(a) Compass directions

• Determine north from the map.
• Use it to infer other directions (east/west/south).
• Give directions such as “southwest” or “between south and west” where needed.

(b) Decimal fraction of on-court seats vs super row seats

• Express fraction:
  • on-court seats / super row seats
• Example:
  • on-court = 4, super row = 21 → fraction = 4/21
• Convert to decimal fraction and round to 1 decimal place.

(c) “Give clear set of directions” avoiding cameras

• Track a route that does not cross in front of cameras.
• Use stepwise directions via intermediate seat markers.
• Accept logical answers (not necessarily one unique route).

(d) Why “super row”

• Based on proximity/visibility:
  • better view, clearer/closer to the action.

11) Map distance and scale conversion to kilometers

• Measure map distance (in cm) and use scale (e.g., 1 : 335 550).
• Convert:
  • cm on map → cm actual using scale factor.
• Convert cm → km using a distance ladder, then round to the required precision.

12) Verify time claim using speed-distance-time

• Given:
  • walking time (e.g., 33 minutes),
  • driving speed (e.g., 20 km/h),
  • distance (e.g., 2.7 km).
• Compute driving time:
  • time = distance / speed
• Convert hours → minutes:
  • multiply by 60
• Compare:
  • if driving time is about one quarter of walking time, the claim is valid.
• Example shown:
  • driving time ≈ quarter of walking time.

13) Probability of selecting a bus station

• Total bus stations = 5
• Stations on the required side (eastern half) = 2
• Probability = 2/5

14) Painting a wall: double coat cost (area → liters → cost)

(a) Area of wall

• Area = length × height
• Example: 4.75 × 2.5 = 11.875 m²

(b) Liters needed

• 1 liter covers 5.9 m²
• One coat: liters = area / 5.9
• Double coat: multiply required liters by 2

(c) Purchase rounding rule

• Paint sold in whole liters.
• Round up so you don’t run out.

(d) Total cost

• Total cost = liters bought × cost per liter

15) Desk fitting: maximum number across a wall (round down)

• Convert wall length to the same units as desk width.
• Compute:
  • number = wall length / desk length
• Round down, because you must physically fit.

16) Percent tucked into shorts (find visible t-shirt length)

(a) Percent visible

• Original shirt length = 8.9 cm
• 6.95% is tucked in → visible %:
  • 100% − 6.95% = 93.05%
• Visible length:
  • 93.05% of 8.9

(b) Verify total visible length claim

• Add visible top portion + shorts length.
• Compare to the claim (e.g., 13 cm).
• If not equal: claim invalid.

17) BMI weight status and verification by calculation

• BMI category thresholds are given (examples mentioned):
  • Underweight if < 18.5
  • Severely obese if ≥ 40
  • Overweight shown for BMI between 25 and 29 (as referenced in subtitles)
• Steps:
  • BMI = mass / height² (height in meters)
  • compute BMI,
  • locate the category interval,
  • verify the claim by matching the computed category.

18) TV packaging: area, scale, packing count, probability, cost

(a) Area of TV screen in cm²

• Convert dimensions from mm to cm first.
• Then compute screen area using the stated approach.
• Subtitles show conversion steps like: mm → cm (divide by 10 per step).

(b) Scale from measured drawing length

• Example format:
  • measured length on drawing = 30 mm
  • real length = 1600 mm
• Use ratio: 30 : 1600
• Simplify to 1 : k

(c) Number of boxed TVs in a shipping container

• Warning: do not divide volumes directly.
• Boxes are packed in specific orientations with gaps, so use step-by-step counting:
  • Convert container dimensions to the same unit (mm).
  • Along length:
    • container length / box length → round down to whole boxes
  • Along width:
    • container width / box width → whole rows
  • Along height:
    • container height / box height → round down
• Total:
  • (length count) × (width rows) × (height count)

(d) Probability of defective TV

• Defective rate: 1 in 50
• For N TVs (e.g., 200):
  • expected defective count = N/50
• Probability (%):
  • (defective count / N) × 100
• Subtitles show: 2%

(e) Total cost of all TVs

• unit cost × number of TVs

(f) One reason for protective wrapping

• Prevents TV damage during transport.

19) Bus/minibus tire ratio, diameter, volume, and money

(a) Ratio diameter

• Mini bus : bus = 5 : 11
• If mini bus tire diameter is 55 cm:
  • scale factor = 55/5 = 11
  • bus diameter = 11 × 11 = 121 cm

(b) Volume of tire (cylinder)

• Use: V = πr²h
• r = diameter / 2
• Use π = 3.142
• Compute volume in cm³.

(c) Number of minibus loads in a bus

• Loads = big bus capacity / mini bus capacity
• Example: 60 / 15 = 4 loads

(d) Return trip earnings

• Return trip per person:
  • (single fare) × 2
• Total earnings:
  • (return fare per person) × (number of passengers)

(e) Why maintenance is important

• Prevent breakdowns, ensure safety, avoid premature wear, reduce expensive repairs.

20) Swimming pool: surface area choice, radius, volume (water), verify filling time

(a) Formula for total internal surface area

• Total interior area to “paint inside”:
  • base circle area: πr²
  • curved side area: circumference × depth
• Use:
  • circumference = 2πr
  • side area = (2πr) × height
• Total:
  • πr² + (2πr × height)
• Choose the option matching this structure.

(b) Find radius from area of base

• Given base area = 65:
  • πr² = 65
  • r² = 65/π
  • r = √(65/π)
• Use π = 3.142

(c) Convert volume from m³ to gallons

• Volume: πr² × depth
• Convert:
  • m³ → liters (×1000)
  • liters → gallons (÷ 3.785)

(d) Verify time to fill

• Given: 30,000 gallons in 40 hours
• Gallons per hour:
  • 30,000/40 = 750 gallons/hour
• Hours needed:
  • total gallons / 750
• Compare with claim (e.g., “more than 25 hours”).

21) Canisters: sugar height, film area difference, sugar mass

(a) Height of sugar in rectangular canister

• Total height includes lid clearance:
  • sugar height = total height − lid depth (1.5 cm)
• Example:
  • 17 − 1.5 = 15.5 cm

(b) Film “size difference” (cylindrical vs rectangular)

• Compute interior area covered by transparent film:
  • cylinder film area (based on the circular/circumference-based structure in the subtitles),
  • rectangular film area using length × width style calculations.
• Subtract cylinder film area from rectangular film area.

(c) Sugar mass from density

• Density = mass / volume → rearrange:
  • mass = density × volume
• Use density in grams per cm³.
• Round mass to the nearest 50 g.

22) Travel time and probability on roads (regional vs national)

(a) Time using distance and speed

• Use:
  • time = distance / speed
• Convert fractional hours to hours and minutes:
  • minutes = fractional part × 60

(b) Probability of choosing regional road

• Identify number of routes total.
• Count how many of those are regional.
• Probability = regional routes / total routes

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Speakers / sources featured

• Primary speaker: “Kevin” (presenter; repeatedly addressed directly in subtitles).
• Other references:
  • Dr. Phil (TV reference)
  • Joe Rogan (referenced in passing within a story)
• The instructional structure is based on an implied exam/memo for “Maths Lit Paper 2 Prelim Exam 2025 | EC,” though the exact document/exam board name is not explicitly stated in the subtitles.