Maths Unit 1 - Higher

Explain why 3⁴ × 7⁸ is a perfect square

The number 33 554 432 is equal to 2²⁵.

Explain how this tells you that 33 554 432 is not a square number

Select the smallest number.

3 x 10⁴         3 x 10^–4           10² x 10⁵           10⁰

• 3 x 10⁴

• 3 x 10^–4

• 10² x 10⁵

• 10⁰

Select the largest number.

3 x 10⁴         3 x 10^–4           10² x 10⁵           10⁰

• 3 x 10⁴

• 3 x 10^–4

• 10² x 10⁵

• 10⁰

The average distance of the Earth from the Sun is about 149 million kilometers. Write this number of kilometers in standard form

In a test, Malcolm scored 63 out of a total of 300.

What is Malcolm’s score as a percentage?

The cost of a concert ticket increases from £20 to £28.

Find the percentage increase in the cost of the concert ticket.

Freddy goes to buy a ticket for a concert.

A sign by the ticket office states ‘20% off all original ticket prices’.

Freddy comes away having paid a reduced price of £36.80 for his ticket.

What was the original price of Freddy’s ticket?

An alloy is made by using copper and zinc in the ratio of 17:3.

How much zinc is used to make 4kg of the alloy?

An alloy is made by using copper and zinc in the ratio of 17:3.

There is only 1.5kg of zinc available, but plenty of copper.

What is the greatest amount of the alloy that can be made?