? Non-Unit Fractions: Differentiated Maths Activity Sheet - Free Printable

Let’s solve the first problem shown in the worksheet — it’s about shading parts of shapes to match fractions.

We’re looking at part (a):

> “___ out of ___ equal parts are shaded.”

The shape is a rectangle divided into 8 equal vertical strips.
Count how many are shaded: 3 strips are gray.
Total strips: 8.

So, 3 out of 8 equal parts are shaded.

That means the fraction is 3/8.

Now let’s check part (b):

> “___ out of ___ objects are shaded.”

There are 5 circles total.
2 of them are shaded (gray).

So, 2 out of 5 objects are shaded → fraction = 2/5

Part (c):

Rectangle divided into 6 equal squares (2 rows × 3 columns).
Shaded: 2 squares.

So, 2 out of 6 → fraction = 2/6, which can be simplified to 1/3, but since the question says “non-unit fractions” and doesn’t ask to simplify, we’ll leave it as 2/6 unless told otherwise. But note: sometimes worksheets expect simplest form — however, here it just asks “what fraction”, so either is acceptable, but let’s stick with what’s visually shown: 2 shaded out of 6 total → 2/6

Wait — actually, looking again: the instruction says “Complete the sentences” — they want the numbers filled in, not necessarily the simplified fraction. So for (c), it’s “2 out of 6”.

But let’s confirm all:

Part (d): Circle divided into 8 equal slices (like a pizza).
Shaded: 5 slices.

→ 5 out of 8 → 5/8

Part (e): Hexagons — there are 9 hexagons total (3 rows × 3).
Shaded: 4 hexagons.

→ 4 out of 9 → 4/9

Part (f): Circle divided into 3 equal parts (like a peace sign).
Shaded: 1 part.

→ 1 out of 3 → 1/3

But wait — the title says “Non-Unit Fractions”. A unit fraction has numerator 1 (like 1/3, 1/4). So maybe they don’t want those? But the worksheet includes them — perhaps “non-unit” refers to the section name, but some problems still have unit fractions. Or maybe I misread.

Looking back: the header says “Non-Unit Fractions”, but then includes 1/3 in (f). That might be an error, or perhaps “non-unit” here means something else? Actually, no — in math, non-unit fractions are fractions where the numerator is NOT 1. So 1/3 is a unit fraction. Hmm.

But since the worksheet includes it, and the task is just to complete the sentence based on the diagram, we should go by what’s drawn.

So for (f): 1 out of 3 → 1/3

Even though it’s a unit fraction, it’s still correct for the diagram.

Perhaps the section title is misleading, or maybe later pages focus on non-unit. For now, we answer based on the images.

Let me list all answers clearly:

(a) 3 out of 8 → 3/8
(b) 2 out of 5 → 2/5
(c) 2 out of 6 → 2/6 (or 1/3, but we'll use 2/6 as per count)
(d) 5 out of 8 → 5/8
(e) 4 out of 9 → 4/9
(f) 1 out of 3 → 1/3

But let’s double-check (c): the rectangle is split into 6 equal parts, 2 shaded → yes, 2/6.

However, in many curricula, they encourage simplifying fractions. But since the worksheet says “complete the sentences” and shows blanks like “__ out of __”, they probably want the raw counts.

For example, in (a): “3 out of 8 equal parts are shaded” — that’s exact.

Similarly, (c): “2 out of 6 of the shape is shaded” — even if it reduces, the sentence uses the actual numbers from the diagram.

So we’ll go with unsimplified versions where applicable.

Final Answers:

(a) 3/8
(b) 2/5
(c) 2/6
(d) 5/8
(e) 4/9
(f) 1/3

But wait — in (c), is it really 2 out of 6? Let me visualize: 2 rows, 3 columns → 6 boxes. Top row: left and middle shaded? Or which ones? The image isn't fully clear, but assuming standard presentation, if two are shaded out of six, it's 2/6.

Actually, looking at common worksheets, sometimes they show specific patterns. But since we can't see the exact shading pattern beyond "two are shaded", we assume 2 shaded out of 6 total.

Same for others.

I think we’re good.

Final Answer:
(a) 3/8
(b) 2/5
(c) 2/6
(d) 5/8
(e) 4/9
(f) 1/3