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MATHEMATICS STAGE 1

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1.1      Number Properties

Candidates should be able to:

1.1.1      Use  place value in whole numbers and decimals

 

1.1.2      Apply place value in whole numbers and decimals

 

1.1.3      Use the four rules of computation for calculations:

specifically, calculate sums, differences, products and quotients of numbers.

1.1.4      Identify decimals, fractions and percentages.

1.1.5      Convert between decimals, fractions and percentages

 

1.1.6      State the  prime numbers to 30 and square numbers to 100 and cube numbers to 100

1.1.7      Use common factors and common multiples, squares, HCF and LCM.

1.1.8      Calculate the square roots and cubes of first 20 integers (and simple multiples of 10 of these numbers)

1.1.9      Organise quantities by magnitude and be familiar with the symbols (≠, <, ≤, >, ≥) numbers

1.1.10   Use the standard form Ax10n where n is a positive whole number and 1 ≤ A < 10.

1.1.11  Predict the next term in a linear and quadratic sequences; continue and generalise number patterns including finding expressions for the nth term.

1.2      Problem Solving

 

Candidates should be able to:
1.2..1 Solve simple word problems in one variable.

1.2.2 Applying knowledge to unfamiliar situations e.g. finding a new mean of two groups, finding next term in unfamiliar sequences (pictorials),  estimation,  number of triangles in a shape

1.2.3 Solving simple logic problems

Candidates should be able to:

1.2.1      Calculate the percentage of a quantity express one quantity as percentage of another

1.2.2      Use negative numbers in context

1.2.3      recognise the notation of ratio, use ratio and direct proportion in context

1.2.4      Use approximation to specified numbers of significant and decimal places give appropriate upper and lower bounds for data given to specified accuracy

1.2.5      Use an electronic calculator effectively. Not tested in entrance exam.

1.2.6      Use number manipulation mentally and show evidence of performing calculations without the aid of calculator.

1.2      Data Handling

Candidates should be able to:

1.2.7      Organise and tabulate discrete and continuous data, representing it on bar charts, pictograms, pie charts and frequency diagrams

1.2.8      Calculate the mean, median and mode for sets of discrete grouped data

1.2.9      Calculate the probability of a single event as either a fraction or a decimal.

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