The starter and exit quiz of the lesson “Problem solving with estimation and rounding”, from the unit “Estimation and rounding” (Year 8 Maths) by Oak National Academy.
Free to use. Edit it, share it and hand it out to your students.
Oak National Academy
12 questions
A degree of accuracy shows how precise a ___ or measurement is. For example, to the nearest cm, nearest 10, 1 s.f. and so on.
Alex buys paper £4.95, USB £\square, stamps £5.20, crisps £0.95, staples £1.10 and plug £1.99. He pays with a £20 note and receives about £2 back in change. Estimate the cost of the USB.
An error interval for a number y shows the range of possible values of y. It is written as:
When a number, x, is rounded to the nearest integer the result is 88. Identify the error interval.
A triangle has lengths 3.5 cm (2 s.f), 4.1 cm (2 s.f) and 4.8 cm (2 s.f). Write the error interval for the perimeter p of the triangle.
A square has lengths in centimetres to 1 decimal place. The error interval of the area of the square is 17.2225 \leq x <18.0625 . Work out the length of the square to 1 d.p.
Work out an estimate for the area of the shape.
Here is a grassed garden with a summer house in the centre. Using estimation and rounding, estimate the area of the grass.
A piece of string was 32 cm measured to the nearest cm. A length of 5.6 cm (to 1 d.p) was cut off. What is the error interval for the remaining length x cm?
Complete the statement. Fermi problems encourage:
Fermi problem : How long will it take to count to 1 million (without breaks, sleep, etc)?
Fermi problem : If you put 1 million pound coins in a box, what is the volume of the box in m³ ?
