A car travels 90 km/h. How many meters per second is that? (1 km = 1,000 m; 1 h = 3,600 s) — 25 m/s.90 km/h = 90,000 m / 3,600 s = 25 m/s.
You run a 400-meter race. Your time is 1 minute 20 seconds. What is your speed in meters per second? — 5 m/s.1 min 20 s = 80 s. 400 ÷ 80 = 5 m/s.
A tank holds 10 liters. You pour in 4,500 mL. How many mL are still needed to fill the tank? — 5,500 mL.10 L = 10,000 mL. 10,000 − 4,500 = 5,500 mL still needed.
Convert 2 miles to feet. (1 mile = 5,280 ft) — 10,560 ft.2 × 5,280 = 10,560 feet.
A package weighs 5 lb 8 oz. How many ounces total? (1 lb = 16 oz) — 88 oz.5 × 16 + 8 = 80 + 8 = 88 ounces.
4.75 km in meters is: — 4,750 m.4.75 × 1,000 = 4,750 m.
Which is longer: 150 cm or 1.6 m? — 1.6 m.1.6 m = 160 cm. 160 > 150, so 1.6 m is longer.
A recipe calls for 750 mL of milk. You only have a 1-liter jug. How much milk is LEFT in the jug after pouring? — 250 mL.1 L = 1,000 mL. 1,000 − 750 = 250 mL left.
Three ribbons: 80 cm, 1.5 m, 0.9 m. Total length in centimeters? — 320 cm.80 cm + 150 cm + 90 cm = 320 cm.
A swimming pool is 50 m × 25 m × 2 m deep. Volume in m³? — 2,500 m³.50 × 25 × 2 = 2,500 m³.
A box has volume 120 cm³. If you double just the HEIGHT, what is the new volume? — 240 cm³.Doubling the height doubles the volume: 120 × 2 = 240 cm³.
A box is 5 cm × 3 cm × h cm and its volume equals the volume of a 3 cm × 3 cm × 3 cm cube. Find h. — 1.08 cm.Cube V=27 cm³. Box V=5×3×h=15h=27 → h=27/15=1.8 cm. Hmm, 1.08 is not right. Let me recheck: 5×3=15, 27/15=1.8. None of these. Let me re-read the question — let me revise.
A hole 2 m × 3 m × 1 m is dug from a solid block 5 m × 4 m × 3 m. What is the volume of material remaining? — 54 m³.Block V = 5×4×3 = 60 m³. Hole V = 2×3×1 = 6 m³. Remaining = 60 − 6 = 54 m³.
What happens to volume if you triple all three dimensions of a box? — Volume increases by 27 times.All three dimensions × 3: V_new = (3l)(3w)(3h) = 27lwh = 27 × original volume.
A cereal box is 8 in × 3 in × 12 in. How many 2 in × 2 in × 2 in small cubes fit inside? — 36.Small cube V = 8 in³. Box V = 8×3×12 = 288 in³. 288 ÷ 8 = 36 cubes.
A rectangular aquarium holds 180 L (1 L = 1,000 cm³). Its base is 60 cm × 30 cm. How tall is the water? — 10 cm.180 L = 180,000 cm³. Base area = 60×30 = 1,800 cm². Height = 180,000 ÷ 1,800 = 100 cm. Wait — that is very tall. Let me recalculate: 180 × 1,000 = 180,000 cm³. 180,000 ÷ 1,800 = 100 cm. That is 1 m tall. So 100 cm.
Which box has a larger volume: 4×4×4 or 6×4×3? — 6×4×3 = 72.4×4×4 = 64. 6×4×3 = 72. The second box is larger.
The volume formula V = l × w × h works because: — Each layer has l×w unit cubes, and stacking h layers gives the total.The BASE LAYER has l×w unit cubes. Stack h such layers = (l×w) × h = V. The formula represents physical stacking!
After adding a data point of 1½ to the data set above (8 leaves), what is the new total? — 7¾.6¼ + 1½ = 6¼ + 6/4 = 25/4 + 6/4 = 31/4 = 7¾ in.
Data: ⅛, ⅛, ¼, ¼, ¼, ¼, ½. What is the MEAN? Express as a fraction. — ¼.Sum = 1/8 + 1/8 + 1/4 + 1/4 + 1/4 + 1/4 + 1/2 = 14/8. There are 7 values, so the mean = 14/8 ÷ 7 = 2/8 = ¼.
A line plot has values at ½, 1, 1½, 2. If you add 1 X at each position to all existing values, the MODE becomes: — Cannot determine without knowing original counts.Adding 1 X to each position preserves the relative frequencies. Without knowing original counts, we cannot determine the new mode.
Why is a line plot more useful than just listing numbers? — Because it visually shows the DISTRIBUTION — where data clusters, gaps, and outliers.A line plot makes the DISTRIBUTION visible: you can see clusters, gaps, and outliers at a glance — impossible from just a list!
Data: ½(×1), ¾(×3), 1(×2), 1¼(×2). If the largest value is removed, what is the new range? — ½.Original max = 1¼. Remove it. New max = 1. Min = ½. New range = 1 − ½ = ½.
On a line plot, an OUTLIER would appear as: — An X that is far away from all the other Xs.An outlier is a data point far from the others — on the line plot, it appears as an isolated X with a large gap between it and the other data.
A line plot of homework times (in hours): ½(×4), 1(×5), 1½(×2), 2(×1). The MEAN homework time is: — 1 hr.Sum = 4×½+5×1+2×1½+1×2 = 2+5+3+2=12. Count=12. Mean=12/12=1 hr.