Mathematics - International - 0607 CIE

Rates

Bayani Gaba-gaba

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.

Manufura

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

Takardar Darasi

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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Nazarin Darasi

Barka da kammala darasi akan Rates. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

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