NZQA Numeracy 2024 Paper Term Two Overview

Introduction

Video format: Go through each question, explain required outcomes.
Suggested method: Pause video, attempt question, then resume video to check solutions.
Encourage subscription and sharing of the channel.

Part A: Locate 225 million on a scale from 0 to 500 million.
- Each line represents 50 million (500 ÷ 10 lines).
- 225 million is between 200 and 250 million.
- Correct arrow: Arrow 5.
Part B: Compare weights of Tara (1 kg) and Weter (25 g).
- Convert Tara's weight to grams: 1 kg = 1000 g.
- Calculate ratio: 1000 g ÷ 25 g = 40 times heavier.
Egg Hatching: Calculate minimum and maximum eggs hatched over 10 years.
- Female Tara lays 6 eggs every 4 years.
- Minimum: 6 eggs x 2 hatchings = 12 eggs.
- Maximum: 10 eggs x 3 hatchings possible = 30 eggs.
- Justify minimum and maximum scenarios.
2012 Tuatara Count on Little Barrier Island:
- Roughly 200 tuatara in 2012.
- Acceptable range: 180 to 220.
Young Tuatara on Island: Median is 220.
- Cluster between 190 and 260 suggests mostly adults.
- One tuatara at 5 could be young or an adult with a short tail.
Island Location: Determine location 95 km Northwest of Wellington.
- Use scale to measure distance.
- Letter: D is the correct location.

Pattern Squares: Calculate number of squares in Pattern 5.
- Total squares: 31.
Reflection Symmetry: Determine lines showing symmetry.
- Lines with symmetry: Line 2 and Line 5.
Richie’s Nose Position:
- Correct at 1/3 line (4 out of 12 divisions).
- Could potentially disagree due to slight variation.
Top View of Sculpture: Identify correct top view.
- Correct letter: E.
Superman Comic Sales: Calculate number of $1,000 comics bought for $2.6 million.
- Result: 2,600 comics.
Travel Time: Round 5 hours 49 minutes to nearest hour.
- Rounded time: 6 hours.

Water Bottle Weight: Calculate empty weight of a 15 L water bottle.
- Water weight: 15 kg; Total weight: 15.352 kg.
- Empty weight: 352 g.
Glass Filling: Number of 300 ml glasses from three 1.5 L bottles.
- Total glasses: 15.
Pig Water Content: Compare water content between adult pig and piglet.
- Adult pig: 60 kg, Piglet: 6 kg.
- Difference: 54 kg or 10 times more.
Water Cost Calculation: Calculate cost per cubic meter.
- Cost: $1.45 per m³.
Water Usage Reduction (Showers): Saving with 2-minute showers.
- Save 144 L by reducing from 4-minute to 2-minute showers.
Rainfall Season: Determine season with highest average rainfall.
- Highest in winter (June, July, August).

Polyfest Attendance Increase: Attendance difference between 2015 and 2021.
- Increase: 40,000 people.
Attendance Prediction: Agree/disagree with 100,000 attendee prediction for 2025.
- Agree: Rising trend.
- Disagree: Unknown factors.
Ticket Cost Calculation: Calculate total cost with discounts for group.
- Discounted cost: $61.20 for six passes.
Probability Calculation: Probability of a school from SA area winning.
- Probability: 5 out of 11.
Performance Time Comparison: Time difference in performance durations.
- Difference: 8 minutes longer on Tongan stage.
Formation Change: Number of performers needing to move.
- Required moves: 8 performers.

Rugby Field Area: Calculate area of the field.
- Area: 7,208 m².
Player Height Swap: Identify players to swap for height order.
- Players: Caleb and Josh.
Rugby Running Distance: Verify running estimation.
- Average speed: 110 m/min.
- Possible to argue correct or incorrect depending on interpretation.
Angle Approximation: Estimate angle within given range.
- Estimated angle: 30°.
Coin Toss Fairness: Probability remains 50% regardless of choice.
New Zealand Rugby Finals Participation: Calculate participation percentage.
- Participation: 62.5% (5 out of 8 finals).
- Agree with over 60% statement.