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Laabri

7th Grade Diagnostic

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Last updated about 2 hours ago
23 Nsɛmmisa

This is an auto-graded diagnostic for incoming $7$th grade math students. It checks readiness with integers, rational number computation (fractions/decimals/percents), and proportional reasoning.

Use student results to identify which skills are solid and which need reteaching or small-group support before starting the first unit.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Which number is greatest?

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2.

Compute: $-8 + 13$

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3.

Compute: $-6 - (-9)$

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4.

Evaluate: $3 - (-2) + (-5)$

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5.

Compute: $\frac{3}{4} + \frac{1}{8}$

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6.

Compute: $\frac{5}{6} - \frac{1}{4}$

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7.

Compute: $(-4)(-7)$

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8.

Compute: $\left(\frac{2}{3}\right)\left(\frac{9}{10}\right)$

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9.

Compute: $\frac{7}{8} \div \frac{1}{4}$

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10.

Compute: $0.6 + 1.75$

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11.

What is $35%$ of $80$?

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12.

Which value is equal to $0.125$?

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13.

Which ratio is equivalent to $3:5$?

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14.

A bag of apples costs $$18$ for $6$ pounds. What is the unit rate (dollars per pound)?

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15.

The table shows a proportional relationship between $x$ and $y$.

  • $x$: $2$, $4$, $6$

  • $y$: $5$, $10$, $15$

What is the constant of proportionality $k$ in $y = kx$?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

A scale drawing uses $1$ inch to represent $4$ feet. How many feet does $7.5$ inches represent?

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17.

Select all representations that show a proportional relationship.

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18.

Which value is equal to $0.125$?

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19.

Which ratio is equivalent to $3:5$?

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20.

A store sells $6$ pounds of apples for $$18$. What is the unit rate (dollars per pound)?

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21.

The table shows a proportional relationship between $x$ and $y$.

When $x=2$, $y=5$ When $x=4$, $y=10$ When $x=6$, $y=15$

What is the constant of proportionality $k$ in $y=kx$?

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

On a scale drawing, $1$ inch represents $4$ feet. A line segment is $7.5$ inches long on the drawing. How long is it in real life (feet)?

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23.

Select two representations that show a proportional relationship.

Placement Guide (Suggested)

Use this diagnostic as one data point alongside classwork and observation.

1) Overall score (out of 16 questions)

  • 0–6 correct → Likely below 6th-grade readiness (plan targeted review of fraction/decimal skills and integer basics)

  • 7–11 correct → Likely 6th-grade readiness (review weak strands, then transition into 7th-grade content)

  • 12–16 correct → Likely 7th-grade readiness or above (ready to start 7th-grade unit pacing)

2) Strand-based placement (recommended)

  • Integers strand (first 5 questions)

    • 0–2 correct: intensive integer review (number line, sign rules)

    • 3–4 correct: minor gaps

    • 5 correct: ready

  • Rational computation strand (next 6 questions)

    • 0–2 correct: intensive fraction/decimal/percent review

    • 3–4 correct: moderate gaps

    • 5–6 correct: ready

  • Proportional reasoning strand (final 5 questions)

    • 0–2 correct: ratios/rates mini-unit early

    • 3–4 correct: minor gaps

    • 5 correct: ready

3) Quick grouping idea

  • Group A: strong across strands → enrichment/extension

  • Group B: mixed readiness → targeted small groups by strand

  • Group C: significant gaps → structured intervention + practice routines