Mathematics - International - 0607 CIE

Rates

Gbogbo ọrọ náà

A rate compares two different quantities, telling you how much of one thing there is for each unit of another. Speed in kilometres per hour, a wage in dollars per hour, a phone plan in cents per minute: all of these are rates, and they are everywhere in daily life and in the exam.

In this lesson you will learn what a rate is, how to read and use common rates, and how to handle the most important one of all in this syllabus: average speed. By keeping a clear eye on units, you will be able to switch between distance, speed and time with confidence and solve real journey problems.

Ebumnobi

Use common measures of rate.
Solve problems involving average speed.

Akọmọ Ojú-ẹkọ

Rates let you compare and predict. Knowing the price per litre tells you which fuel station is cheaper; knowing a typing rate tells you how long a document will take; knowing an average speed tells you when you will arrive. The single habit that makes rate questions easy is watching the units, and that habit pays off across science and everyday decisions too.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Rates. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

A car travels 150 km in 2.5 hours. What is its average speed? A. 50 km/h B. 60 km/h C. 75 km/h D. 375 km/h Answer: B
3 kg of apples cost $7.50. What is the cost per kilogram? A. $2.00 B. $2.50 C. $4.50 D. $22.50 Answer: B
A train travels at 80 km/h. How long does it take to travel 200 km? A. 1.5 hours B. 2 hours C. 2.5 hours D. 3 hours Answer: C
A cyclist rides at an average speed of 20 km/h for 3 hours. How far do they travel? A. 6 km B. 23 km C. 60 km D. 600 km Answer: C
Which conversion of 45 minutes into hours is correct? A. 0.45 hours B. 0.75 hours C. 4.5 hours D. 1.45 hours Answer: B