Free TCE Year 11 General Mathematics Flashcard Review
Review 20 public cards with spaced repetition. Flip a card, then grade your recall. Cards you miss return today. Your schedule stays in this browser.
Loading your review schedule…
Browse the free cards
Name the four stages of a modelling response.
Formulate, solve, interpret, verify (then discuss assumptions and limitations).
What is the difference between an assumption and a limitation?
An assumption is accepted so the model can be used; a limitation is a way the model may not match reality.
A model says 7.2 buses are needed. What is the practical answer?
8 buses, because counts must be whole numbers and 7 buses would not carry everyone.
Which model suits 'a fixed fee plus a cost per hour'?
A linear model C = a + bh, where a is the fixed fee and b is the hourly rate.
Which model suits comparing totals for several items at several shops?
A matrix product: a row matrix of quantities multiplied by a matrix of prices.
How do you check a break-even answer?
Substitute it into both the cost and revenue rules and confirm they give the same value.
Write 0.004718 to 2 significant figures.
0.0047
How is 5000(1.042)ⁿ typically entered in a spreadsheet when n is in cell A2?
=5000*(1+0.042)^A2
Is π × 2 = 6.283185307 exact or approximate?
Approximate, because π is irrational; the display is rounded.
How can a claimed flow rate of a tap be validated by experiment?
Time how long the tap takes to fill a container of known volume and divide volume by time.
Why choose the graph window carefully?
So that key features such as intercepts and intersection points are visible and can be read.
What should a conclusion in a statistical comparison include?
The comparison of centre and spread in context, the direction of the difference, and its limitations.
Evaluate 2x² − 3x when x = −2.
2 × 4 + 6 = 14.
Make C the subject of F = 1.8C + 32.
C = (F − 32) ÷ 1.8
Make h the subject of BMI = m ÷ h².
h = √(m ÷ BMI)
In a spreadsheet, what does the $ in =B$1/$A2^2 do?
It fixes row 1 for B$1 and column A for $A2 so the formula fills correctly across and down a two-way table.
What is the order of [4 0 −2; 1 3 5]?
2 × 3 (2 rows, 3 columns).
Write the 2 × 2 identity matrix.
[1 0; 0 1]
When can two matrices be added?
Only when they have the same order.
When is the product AB defined?
When the number of columns of A equals the number of rows of B.