Video: KS2-M16 • Paper 2 • Question 10

Each diagram below is divided into equal sections. Shade three-quarters of each diagram.

02:34

Video Transcript

Each diagram below is shaded into equal sections. Shade three-quarters of each diagram.

Let’s start with this square. The square has already been divided into quarters or four equal parts. The question asks us to shade three-quarters of each diagram: one-quarter, two-quarters, three-quarters.

The second diagram is a little bit more tricky. The diagram has been drawn using six squares. Each of those squares has been divided into two equal parts. So we need to multiply the six squares by two. So the six squares have been divided into 12 triangles. If we divide 12 by four, that tells us how many triangles there are in one-quarter of the diagram.

We need to shade three-quarters. So we need to multiply three by three. So three-quarters of this diagram means we need to shade nine triangles. So we shaded nine out of 12 triangles, which is the same as three-quarters.

This circle has been divided into eight equal parts or eighths. And we can see that one-quarter is equal to two-eighths. We need to shade three-quarters. If one-quarter is two-eighths, then three-quarters is six-eighths.

We shaded three-quarters of the square, which had already been divided into quarters. The second diagram had been divided into 12 equal triangles. We shaded nine of the 12 triangles because three-quarters is equal to nine-twelfths. The third diagram, the circle, had been divided into eighths or eight equal parts. One-quarter is equal to two-eighths, so three-quarters is equal to six-eighths. So we shaded six-eighths because this is the same as shading three-quarters.

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