data-cloze-masked=\"true\">[ ] the other quantity by the same scale factor.","back":"In direct proportion, multiplying one quantity by a scale factor multiplies the other quantity by the same scale factor.","points":null},{"id":"3b83b8cd-8257-4bf2-99b2-95d67b03b49e","cardType":"basic","front":"What is the general algebraic formula for direct proportion?","back":"$$y = kx$","points":1},{"id":"8db73876-1f3c-48c6-9aa6-890585da1325","cardType":"basic","front":"A machine makes 800 cartons in 4 hours. How do you calculate the unit rate?","back":"$$800 \\div 4 = 200$ cartons per hour","points":1},{"id":"5bfe44fd-0a72-4d1d-829f-ab50ec96d014","cardType":"basic","front":"8 apples cost £1.20. Outline the steps to find the cost of 11 apples.","back":"

$1.20 \\div 8$ to find the cost of 1 apple
Multiply that result by 11

","points":2},{"id":"c9c2b886-d43a-4e48-a5bc-a2cd7c92e7b7","cardType":"basic","front":"The mass of a wire $m$ is $m=25l$. Find length $l$ when $m=175$.","back":"$$l = 7$ ($175 \\div 25$)","points":2},{"id":"4d614f40-0bcd-4cb5-a900-051988f8a8f4","cardType":"basic","front":"4 packets of rice and 3 tins of soup cost £5.10. 5 packets of rice cost £2.25. How do you find the cost of 1 tin of soup?","back":"

Find cost of 1 rice ($2.25 \\div 5$)
Find cost of 4 rice
Subtract 4 rice cost from £5.10
Divide remainder by 3

","points":3},{"id":"8bcf6251-be1b-4c25-8cad-6107558c812d","cardType":"cloze","front":"In inverse proportion, multiplying one quantity by a scale factor [ ] the other quantity by that same scale factor.","back":"In inverse proportion, multiplying one quantity by a scale factor divides the other quantity by that same scale factor.","points":null},{"id":"edbda447-4004-4075-bb7d-244aac5230dc","cardType":"basic","front":"What is the general algebraic formula for inverse proportion?","back":"$$y = \\frac{k}{x}$","points":1},{"id":"a81fcb10-04be-490c-8902-21311f1e8932","cardType":"basic","front":"3 painters take 8 days to paint a house. How do you find the total amount of painter-days required for the job?","back":"$$3 \\times 8 = 24$ painter-days","points":1},{"id":"b6796da4-7607-4e43-adb4-805928b02a4d","cardType":"basic","front":"3 painters take 8 days to paint a house. How long would 4 painters take?","back":"6 days ($24 \\div 4$)","points":2},{"id":"14f3c198-a9e5-4081-8890-9375a2930a21","cardType":"basic","front":"What is the formula for $y$ being directly proportional to $x$ squared?","back":"$$y = kx^2$","points":1},{"id":"374aeeb8-1483-442f-9010-a93065827878","cardType":"cloze","front":"If $y$ is inversely proportional to $x^2$, the formula is $\\text{[...]}$.","back":"If $y$ is inversely proportional to $x^2$, the formula is $\\boxed{y = \\frac{k}{x^2}}$.","points":null},{"id":"7a28d43a-f464-49bb-af0b-b72dbff74493","cardType":"basic","front":"In the formula $F = \\frac{48}{d^2}$, what must you do to $d=4$ before dividing?","back":"Square it (to get 16).","points":1},{"id":"616201eb-25bf-4c3c-90ba-87e5a5173741","cardType":"basic","front":"Calculate $F$ in $F = \\frac{48}{d^2}$ when $d = 4$.","back":"$$F = 3$ ($48 \\div 16$)","points":2},{"id":"3348df95-3e1b-421c-b859-3392bf8577cb","cardType":"basic","front":"What does the symbol $\\propto$ mean?","back":"is proportional to","points":1},{"id":"3f86274d-3120-489f-bb07-ad6d01bbcd45","cardType":"basic","front":"Describe the graph shape for $y \\propto x$.","back":"A straight line passing through the origin.","points":2},{"id":"7a1f6010-6026-41e6-8f8f-49ed2808e737","cardType":"basi

Direct and Inverse Proportion Flashcards

Direct and Inverse Proportion Flashcards

Direct and Inverse Proportion Flashcards

Direct and Inverse Proportion Flashcards