The starter and exit quiz of the lesson “Problem solving with advanced algebraic fractions”, from the unit “Algebraic fractions” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
An Oak teacher invests £1000 with 5% compound interest a year. After 4 years they will have £___ to the nearest penny.
The solution to the equation \frac{5}{2} + \frac{x}{4}=10 is when x=___
Write \frac{x}{a} + \frac{x}{b} as a single fraction.
Make x the subject of \frac{x}{a} + \frac{x}{b}=c .
Lucas rolls a fair 6 sided die and flips a fair coin. What is the probability Lucas gets a 2 on the die and a heads on the coin?
Use the probability tree to match each event to its probability.
Sofia borrows (C) from her brother. Her brother charges her 2% compound interest a week. After 3 weeks, Sofia owes her brother £20. To the nearest penny, Sofia borrowed £___.
A money lending firm charges 3% compound interest each month. £100 is borrowed over 2 months and £60 paid back after 1 month. After 2 months the final repayment should be £___.
A money lending firm charges 3% compound interest each month. £100 is borrowed over 2 months and repaid in two equal monthly repayments. In total £___ is paid back.
There are n counters in a bag. 3 are red and the rest are blue. A counter is picked , put back in the bag and another is picked. What is the probability of getting 2 red counters?
There are n counters in a bag. 3 are red and the rest are blue. A counter is picked, put back in the bag and another is picked. What is the probability of getting two counters the same colour?
There are n counters in a bag, 3 are red and the rest blue. Jun picks one, puts it back and picks another. The probability of getting two the same colour is {5\over 8}. Calculate n.
