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SQA National 5 Mathematics

National 5 · SQAMathematics374 cards

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Flashcards for SQA National 5 Mathematics (C847 75), split into the course specification's own skill areas, numerical, algebraic, geometric, trigonometric, statistical and reasoning, and then by sub-skill. A last subdeck covers when to use each formula on the National 5 formulae list given in both question papers; other formulae are ones you need to recall.

Adding it gives you your own copy, with every subdeck below. Each card then comes back just before you would forget it, and every one you get right or wrong counts towards your mastery of its topic. You can delete or suspend the parts you are not studying once it is yours.

What is inside (38 subdecks)

  • Algebraic skills122 cards
    • 1. Expanding brackets11 cards
    • 2. Factorising14 cards
    • 3. Completing the square8 cards
    • 4. Algebraic fractions11 cards
    • 5. Straight lines and functions13 cards
    • 6. Linear equations and inequations9 cards
    • 7. Simultaneous equations11 cards
    • 8. Changing the subject of a formula7 cards
    • 9. Quadratic functions and graphs16 cards
    • 10. Solving quadratic equations9 cards
    • 11. The quadratic formula and the discriminant13 cards
  • Geometric skills77 cards
    • 1. The gradient of a line7 cards
    • 2. Arcs, sectors and chords13 cards
    • 3. Volume of solids10 cards
    • 4. Pythagoras' theorem7 cards
    • 5. Angle properties of shapes17 cards
    • 6. Similarity8 cards
    • 7. Vectors15 cards
  • Numerical skills81 cards
    • 1. Surds15 cards
    • 2. Indices and scientific notation27 cards
    • 3. Rounding and significant figures10 cards
    • 4. Reverse percentages, appreciation and depreciation15 cards
    • 5. Fractions14 cards
  • Reasoning skills11 cards
    • 1. Interpreting and solving problems11 cards
  • Statistical skills23 cards
    • 1. Comparing data sets14 cards
    • 2. Scattergraphs and lines of best fit9 cards
  • Trigonometric skills53 cards
    • 1. Graphs of trigonometric functions14 cards
    • 2. Trigonometric relationships and identities16 cards
    • 3. Area of a triangle using trigonometry4 cards
    • 4. The sine and cosine rules10 cards
    • 5. Bearings9 cards
  • When to use each given formula7 cards

Some of its cards

  • How do you find an original amount using a reverse percentage, when you know the amount after an increase?
    Write the new amount as a percentage of the original (100% plus the increase), then divide by that percentage and multiply by 100
  • How do you solve a quadratic equation given in factorised form, such as (x−4)(x+2)=0(x - 4)(x + 2) = 0?
    Set each factor equal to zero and solve each one
  • Interquartile range
    The upper quartile minus the lower quartile, a measure of how spread out the middle half of the data is
  • What formula finds the equation of a straight line given its gradient and one point on it?
    y−b=m(x−a)y - b = m(x - a), where mm is the gradient and (a,b)(a, b) is the point
  • Bearing
    A direction given as an angle measured clockwise from north, always written using three figures
  • A root, such as a square root, that cannot be simplified to a whole number or a fraction
    Surd
  • How do you solve a linear equation with fractional coefficients, such as 2x3+1=7\frac{2x}{3} + 1 = 7?
    Isolate the term with xx, then multiply or divide to remove the fraction
  • What formula gives the volume of a sphere?
    V=43πr3V = \frac{4}{3}\pi r^3
  • What does rounding to a given number of significant figures mean?
    Keeping only that many digits, starting from the first non-zero digit, and rounding the last one kept based on the digit after it
  • What is the period of y=sin⁡xy = \sin x and y=cos⁡xy = \cos x?
    360°

And 364 more once you add the deck.