Checkpoint 2

Maths Standard Year 11 - Module 1 Algebra - Lessons 5 to 8

Formulas from tables Spreadsheet-style formulas Applied quadratic formulas Mixed formula strategies
10 MC 3 short answer 25 min
0/10
Multiple Choice Score
Answer questions to see your score.
Part A - Multiple Choice
1A delivery company charges $10 plus $3 per kilometre. Which formula gives cost $C$ for $k$ kilometres?
$C = 3 + 10k$
$C = 10 + 3k$
$C = 13k$
$C = 10k + 3k$
B. The starting value is 10 and the repeated change is 3 per kilometre.
2Outputs are 12, 17, 22, 27 for inputs 0, 1, 2, 3. Which formula matches?
$y = 12 + 5x$
$y = 5 + 12x$
$y = 17 + 5x$
$y = 12x + 5$
A. The output at input 0 is 12, and the repeated increase is 5.
3In the spreadsheet formula =B2*C2+D2, B2 is quantity, C2 is price per item, and D2 is delivery. What does it calculate?
Delivery minus price
Quantity plus price plus delivery
Quantity times price, plus delivery
Quantity times delivery, plus price
C. The formula multiplies quantity by unit price, then adds delivery.
4Use =B2*C2+D2 when B2 = 18, C2 = 3 and D2 = 12.
$33
$54
$66
$108
C. $18 \times 3 + 12 = 54 + 12 = 66$.
5What does $v^2$ mean?
$2 \times v$
$v + 2$
$v \times v$
$v \div 2$
C. Squaring means multiplying the value by itself.
6Use $D = 0.01v^2 + 0.3v$ to estimate $D$ when $v = 60$.
42 m
54 m
72 m
360 m
B. $0.01(60^2)+0.3(60)=36+18=54$ m.
7A square has side length 9.5 m. Use $A = s^2$ to find its area.
19 m2
45.25 m2
90.25 m2
95 m2
C. $9.5^2 = 90.25$ m2.
8A printer charges $25 setup plus $2 per page. A job costs $81. How many pages were printed?
18
25
28
53
C. $25 + 2p = 81$, so $2p = 56$ and $p = 28$.
9A cyclist travels 135 km in 3 hours. Which strategy is best for finding speed from $d = st$?
Substitute into $d = st$ and stop
Rearrange to $s = d/t$, then substitute
Use $s = dt$
Add distance and time
B. Speed is not the subject, so rearrange first: $s = d/t$.
10A stopping-distance calculation should give 54 m, but a student writes 540 m. What is the most likely issue?
A decimal place or multiplier was misused
The answer has no variable
The student rounded too late
The student used too many units
A. A result ten times too large often signals a decimal-place or multiplier error.
Part B - Short Answer
1A hire company charges $30 plus $8 per hour.
a. Write a formula for total cost $C$ after $h$ hours. 2 marks
b. Find the cost for 6 hours. 2 marks
$C = 30 + 8h$. For 6 hours, $C = 30 + 8(6) = 78$. The cost is $78.
2A spreadsheet formula is =B2*C2+D2. B2 is quantity, C2 is price per item and D2 is delivery.
a. Explain the formula in words. 2 marks
b. Calculate the output when B2 = 15, C2 = 4 and D2 = 9. 2 marks
The formula calculates quantity times price per item, plus delivery. Output $= 15 \times 4 + 9 = 69$.
3Use $D = 0.01v^2 + 0.3v$ for a stopping-distance model.
a. Estimate $D$ when $v = 70$ km/h. 3 marks
b. Explain why this formula does not behave like a constant-rate formula. 2 marks
$D = 0.01(70)^2 + 0.3(70) = 49 + 21 = 70$ m. The squared term means the output grows faster as speed increases, so it is not constant-rate.

Use this checkpoint to consolidate formula building, spreadsheets, applied quadratics and mixed strategy selection.

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