Year 9 Numeracy Skills NA4

L4

Lim made this pattern of rectangles using matches.

What is the rule used for the number of rectangles and the number of matches?

• number of matches = 6 x number of rectangles

• number of matches = 5 x number of rectangles - 1

• number of matches = 5 x number of rectangles + 1

• number of matches = 6 x number of rectangles - 1

L4

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L4

James wrote this pattern of numbers: 3, 11, 43, 171, _______.

What is the rule James used?

• Multiply by 3 then add 4

• Multiply by 4 then subtract 1

• Multiply by 5 then subtract 4

• Square and then add 2

L5

The rule for a pattern is 'double the previous number and add 5'. if the first number in this pattern is 2, what is the fourth number?

L5

The cost in dollars to print  $n$  books is  $500+10n$  . How many books are printed for a cost of $15 000?

L5

A factory makes garden gnomes. The total cost, $C, of producing n gnomes is given by $C=350+25n$ . The factory receives $35 for each garden gnome. In a week where the factory produces and sells 180 gnomes, how much profit will it make?

L5

Young's rule is a formula that determines the correct dose of medicine for a child when the adult dose of that medicine and the age of the child are known. The rule is $C=\frac{nA}{n+12}$  where  $C$  is the child's dose in millilitres,  $n$  is the child's age in years and  $A$  is the adult dose in millilitres. 

What is the correct dose for a four years old child when the adult dose is 20 mL?

L6

This balance shows that 4 blocks have the same mass as 2 balls and a block. How many blocks would balance 6 balls?

• 3

• 7

• 9

• 10

L6

What is the area of the shape?

• $\left(a-c\right)\times\left(b-2c\right)$

• $\left(a\times c\right)-\left(5\times c\right)$

• $\left(a\times b\right)-\left(c\times c\right)$

• $\left(a+c\right)\times\left(b+2c\right)$

L6

This is a plan of a yard. The area of the paving, in square metres, is

•  $12x-5y$  

•  $12y-5x$  

•  $2xy-60$  

•  $xy-60$