Real-Life Graphs

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

Gradient = rise / run. On a distance-time graph it is speed; on a velocity-time graph it is acceleration; on a cost graph it is price per unit.

A steep line is fast, a shallow line is slow, a flat line means stopped. A line falling back to zero means returning to the start.

Rising line = speeding up, flat line = constant speed, falling line = slowing down. Distance is the area, not the gradient.

Read across from one axis and up to the other. The gradient is the conversion rate, like km per mile.

gradient	the rate of change shown by a line's steepness; rise divided by run
velocity	speed in a stated direction; can be positive or negative
acceleration	the rate of change of velocity; the gradient of a v-t graph
displacement	distance from the start in a given direction; the area under a v-t graph
origin	the point (0, 0) where the two axes cross
conversion graph	a straight-line graph used to change one unit into another
rate of change	how much one quantity changes for each unit change in another
trapezium	a four-sided shape with one pair of parallel sides; area = ½(a + b) × h

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