Let's go through each problem on the
5-A-Day Math Assessment: Week 1 and solve them step by step.
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13. Complete what is missing.
Given:
Fraction: $ \frac{3}{10} $
-
Decimal:
$ \frac{3}{10} = 0.3 $
-
Word Form:
"Three tenths"
✔ Answer:
- Decimal:
0.3
- Word Form:
three tenths
> Also, shade 3 out of 10 boxes in the rectangle (already shown).
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14. Compare the numbers.
Compare: $ 0.3 \quad \text{○} \quad 0.5 $
- $ 0.3 < 0.5 $
✔ Answer:
$ 0.3 \quad \boxed{<} \quad 0.5 $
> The shaded model shows 3/10 vs. 5/10 → 0.3 < 0.5
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15. Order the fractions.
Fractions: $ \frac{1}{4}, \frac{4}{4}, \frac{3}{4}, \frac{1}{2} $
Convert to decimals or common denominators:
- $ \frac{1}{4} = 0.25 $
- $ \frac{1}{2} = 0.5 $
- $ \frac{3}{4} = 0.75 $
- $ \frac{4}{4} = 1.0 $
Order from least to greatest:
$ \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \frac{4}{4} $
Place on number line:
- First box: $ \frac{1}{4} $
- Second box: $ \frac{1}{2} $
- Third box: $ \frac{3}{4} $
- Fourth box: $ \frac{4}{4} $
✔ Answer:
From left to right:
$ \boxed{\frac{1}{4}}, \boxed{\frac{1}{2}}, \boxed{\frac{3}{4}}, \boxed{\frac{4}{4}} $
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16. Solve. Shade in to represent.
$ \frac{3}{4} + \frac{2}{4} = ? $
- Add numerators: $ \frac{3+2}{4} = \frac{5}{4} = 1\frac{1}{4} $
Now, shade in the model:
- Two rectangles, each divided into 4 parts.
- Shade 3 out of 4 in first rectangle.
- Shade 2 out of 4 in second rectangle.
- Total shaded: 5 out of 4 → one full rectangle and 1/4 more.
✔ Answer:
$ \frac{3}{4} + \frac{2}{4} = \boxed{\frac{5}{4}} $ or $ \boxed{1\frac{1}{4}} $
Shade 5 of the 8 total squares (if two rectangles), but since they are separate, shade 3 in first and 2 in second.
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17. Draw line XY and line segment ST
-
Line XY: A straight line with arrows at both ends (infinite).
-
Line segment ST: A straight line with endpoints at S and T (no arrows).
✔ Instructions:
- Draw a line with arrows on both ends labeled
X and
Y.
- Draw a line with endpoints labeled
S and
T, no arrows.
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18. Identify the shape.
The figure is a triangle with:
- One right angle (90°) — indicated by the corner.
- Two sides perpendicular.
- One side longer than others.
This is a
right triangle.
✔ Answer: Right triangle
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19. Marcos invited 27 guests...
Total guests: 27
Replied “will attend”: 9
Replied “will not attend”: 5
How many haven’t replied?
$$
g = 27 - 9 - 5 = 13
$$
Step-by-step:
- $ g = 27 - 9 - 5 $
- $ g = 18 - 5 $
- $ g = 13 $
✔ Answer:
- $ g = \boxed{27} - 9 - 5 $
- $ g = \boxed{18} - 5 $
- $ g = \boxed{13} $
-
13 guests haven't replied.
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20. Model and solve: $ 7 \times \frac{1}{2} $
This means: 7 groups of $ \frac{1}{2} $
Each circle is divided into 2 halves.
You have 7 circles, each split in half → total of $ 7 \times \frac{1}{2} = \frac{7}{2} = 3\frac{1}{2} $
Shade 7 halves → 3 full circles and 1 half shaded.
✔ Answer:
$ 7 \times \frac{1}{2} = \boxed{\frac{7}{2}} $ or $ \boxed{3\frac{1}{2}} $
> Shade 7 of the 8 half-circles (i.e., 3 full circles and 1 half)
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✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 13 | Decimal:
0.3, Word Form:
three tenths |
| 14 | $ 0.3 \boxed{<} 0.5 $ |
| 15 | Order: $ \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \frac{4}{4} $ |
| 16 | $ \frac{5}{4} $ or $ 1\frac{1}{4} $; shade 3/4 and 2/4 |
| 17 | Draw line $ \overleftrightarrow{XY} $ and segment $ \overline{ST} $ |
| 18 |
Right triangle |
| 19 | $ g = 27 - 9 - 5 = 13 $;
13 guests haven't replied |
| 20 | $ 7 \times \frac{1}{2} = \frac{7}{2} = 3\frac{1}{2} $; shade 7 halves |
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of 4th grade math test.
