Maths worksheets: Rounding to the nearest million. Y6

Rounding to the nearest million

countingLarger numbers can be rounded in just the same way as rounding hundreds or thousands, always referring to the digit below the one you want to round.

Eg rounding to a million, look at the hundred thousand digit:

2 345 456 is rounded down to 2 000 000 (two million) to the nearest million because the hundred thousand digit is only 3.

2 987 654 is rounded up to 3 000 000 (three million) to the nearest million because the hundred thousand digit is 9.

Children are often fascinated by large numbers and there are plenty of good sources in geography, such as population figures, areas of countries etc

6201-03 Rounding to the nearest million (pg 1)

6201-04 Rounding to the nearest million (pg 2)

Maths worksheets: Probability. Y6

probability scale 0 to 1

data 1The language of probability develops further in year 6 to include:
perhaps, might, fair, unfair, biased, random, likely, unlikely, equally likely, chance, certain, uncertain, probable, possible, impossible, good chance, poor chance, no chance, equal chance, even chance, evens, fifty-fifty chance, likelihood, probability, possibility, and, or, not.

Children should understand the probability scale from 0 to 1 and be able to put events in the appropriate place on the probability scale according to the likelihood of the event happening. A probability of 0 means that something is impossible. A probability of 1 means that something is certain to happen. Sometimes children think that some events have a probability of 0 or 1 when in fact they are quite near these values, but not actually 0 or 1. For example it is highly unlikely that we shall have built a bridge across the Atlantic Ocean by the year 2030, but this is not actually impossible, therefore the probability of it happening is extremely small, but not equal to zero. Likewise, the probability of the Sun rising as usual every morning for the next year is very high but not actually 1 as there is a very small chance of some cataclysmic event happening in the Solar System.

Two maths worksheets below look at the probability line from 0 to 1.

6701-01 Probability (pg 1)

6701-02 Probability (pg 2)

Maths worksheets: Revise tables and square numbers. Y6

maths tables and square number

CountingBy year 6 children should have a very good working knowledge of all tables facts up to 10×10. In fact, the Primary Framework suggests that children should know their tables at a much earlier age. However, there is no harm in a little revision!They should also be able to react quickly to questions such as “How many eights make 56?”

The first page is a revision sheet. Use it to find which tables are proving to be more difficult – usually it is the 6, 7 and 8s which pose the problems.

Square numbers come up on the second sheet. Once again children are expected to know square numbers at least up to 10×10 – after all they are only a part of their tables. Once they know that 6 x 6 is 36, if they have a good knowledge of place value they will be able to work out that 60 x 60 is 3600.

6301-01 Tables square challenge

6301-02 More tables questions

Maths worksheets: Classify shapes. Y6

circle, semi-circle, triangle, equilateral triangle, isosceles triangle, scalene triangle, quadrilateral, rectangle, oblong, square, parallelogram, rhombus, kite, trapezium, pentagon, hexagon, heptagon, octagon, polygon, cube, cuboid, pyramid, sphere, hemisphere, cylinder, cone, prism, tetrahedron, octahedron, dodecahedron, polyhedron.

shape1Plenty of shape names to learn. By year 6 children should be able to use, read and write the following words:

pattern, shape, two-dimensional, three-dimensional, line, side, edge, face, surface, base, point, angle, vertex, vertices, centre, (or center in the US) radius, diameter, net, curved, regular, irregular, concave, convex, circular, triangular, hexagonal, cylindrical, square-based, right-angled, congruent, concentric, tangram, circumference, arc. Continue reading “Maths worksheets: Classify shapes. Y6”

Maths worksheets: Single step problem solving. Y6

Solving problems Single step operations

know1Below are some maths problems written in words. They are known as ‘single step operations’ as only one mathematical process is necessary to solve them. Children find word problems very difficult, but the one step type are much, much easier than the two step.

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Maths worksheets: Mental addition of three numbers. Y6

Mental addition of three numbers

These are about as hard as you get working in your head and jottings on paper may be needed to do them. Look back at earlier year groups to see the different strategies that can be used. The strategies are the same but the numbers are bigger.

Continue reading “Maths worksheets: Mental addition of three numbers. Y6”

Maths worksheets: Rounding to the nearest thousand. Y6

rounding numbers

Two worksheets here for rounding larger numbers, either to the nearest 1 000 or the nearest 10 000. Being able to round easily is important when estimating an answer and before using a calculator to ensure that the answer displayed on the screen is sensible.

Continue reading “Maths worksheets: Rounding to the nearest thousand. Y6”