KORUTEST · INDEPENDENT PRACTICE
Mathematics
ICAS reasoning · Year 7 · Standard
Choose the best answer. Use every value and label in a diagram carefully. For CAM reasoning, record the method or evidence that supports your choice.
- QUESTION 01Number · Percentage change
A rain jacket marked $120 is reduced by 25%.
Sale tag$120−25%$90Diagram generated from this question’s data What is the sale price?
- QUESTION 02Geometry and measurement · Pythagorean theorem
A right-angled triangular brace has perpendicular sides 8 m and 9 m.
Right-angled brace8 m9 mc90°Diagram generated from this question’s data What is the length of the diagonal brace?
- QUESTION 03Statistics · Interpreting mean
The chart shows 5 daily counts: 13, 12, 9, 5, 14.
Daily countsDiagram generated from this question’s data What is the mean of the data?
- QUESTION 04Algebra · Generalising a linear pattern
A sequence begins 2, 11, 20, 29, …
Constant-step sequence21120…term 8Diagram generated from this question’s data What is term 8?
- QUESTION 05Number · Percentage change
A rain jacket marked $160 is reduced by 20%.
Sale tag$160−20%$128Diagram generated from this question’s data What is the sale price?
- QUESTION 06Geometry and measurement · Pythagorean theorem
A right-angled triangular brace has perpendicular sides 6 m and 9 m.
Right-angled brace6 m9 mc90°Diagram generated from this question’s data What is the length of the diagonal brace?
- QUESTION 07Statistics · Interpreting mean
The chart shows 5 daily counts: 14, 9, 16, 5, 7.
Daily countsDiagram generated from this question’s data What is the mean of the data?
- QUESTION 08Algebra · Generalising a linear pattern
A sequence begins 5, 10, 15, 20, …
Constant-step sequence51015…term 5Diagram generated from this question’s data What is term 5?
- QUESTION 09Number · Percentage change
A rain jacket marked $60 is reduced by 10%.
Sale tag$60−10%$54Diagram generated from this question’s data What is the sale price?
- QUESTION 10Geometry and measurement · Pythagorean theorem
A right-angled triangular brace has perpendicular sides 8 m and 12 m.
Right-angled brace8 m12 mc90°Diagram generated from this question’s data What is the length of the diagonal brace?
- QUESTION 11Statistics · Interpreting mean
The chart shows 5 daily counts: 14, 13, 17, 17, 7.
Daily countsDiagram generated from this question’s data What is the mean of the data?
- QUESTION 12Algebra · Generalising a linear pattern
A sequence begins 7, 14, 21, 28, …
Constant-step sequence71421…term 7Diagram generated from this question’s data What is term 7?
- QUESTION 13Number · Percentage change
A rain jacket marked $160 is reduced by 15%.
Sale tag$160−15%$136Diagram generated from this question’s data What is the sale price?
- QUESTION 14Geometry and measurement · Pythagorean theorem
A right-angled triangular brace has perpendicular sides 9 m and 8 m.
Right-angled brace9 m8 mc90°Diagram generated from this question’s data What is the length of the diagonal brace?
- QUESTION 15Statistics · Interpreting mean
The chart shows 5 daily counts: 8, 8, 12, 10, 8.
Daily countsDiagram generated from this question’s data What is the mean of the data?
- QUESTION 16Algebra · Generalising a linear pattern
A sequence begins 4, 11, 18, 25, …
Constant-step sequence41118…term 8Diagram generated from this question’s data What is term 8?
- QUESTION 17Number · Percentage change
A rain jacket marked $80 is reduced by 20%.
Sale tag$80−20%$64Diagram generated from this question’s data What is the sale price?
- QUESTION 18Geometry and measurement · Pythagorean theorem
A right-angled triangular brace has perpendicular sides 9 m and 5 m.
Right-angled brace9 m5 mc90°Diagram generated from this question’s data What is the length of the diagonal brace?
- QUESTION 19Statistics · Interpreting mean
The chart shows 5 daily counts: 14, 11, 9, 12, 18.
Daily countsDiagram generated from this question’s data What is the mean of the data?
- QUESTION 20Algebra · Generalising a linear pattern
A sequence begins 2, 10, 18, 26, …
Constant-step sequence21018…term 5Diagram generated from this question’s data What is term 5?