7/28/2019 aFU TEST 2013 CORE.pdf

1/5

Algebra Core Practice test1. In this question all the measurements are in centimetres.

The diagram shows a triangle with sides of length 2 + 3, 11 and 3.(a) Explain why must be less than 11.

Answer (a) . .. [1

(b) Write down an expression, in terms of, for the perimeter of the triangle.Give your answer in its simplest possible form.

Answer (b) . [2(c) The perimeter of the triangle is 32 cm.

(i) Write down an equation in terms of and solve it.

Answer (c) (i) = . [3

2 + 3 11

3

NOT TOSCALE

7/28/2019 aFU TEST 2013 CORE.pdf

2/5

(ii) Work out the length of the shortest side of the triangle.

Answer (c) (ii) ... cm [2

2. (a) Solve the equation 2( + 4) = 3( + 2) + 8.

Answer (a) = ... [3(b) Make the subject of = 4 .

Answer (b) = ... [3(c) Factorise completely 3 + 12.

Answer (c) .

[2

(d) Find the value of + 3 when = 2 and = 2.

Answer (d) . [2

7/28/2019 aFU TEST 2013 CORE.pdf

3/5

(e) Find when 2 = 54.

Answer (c) = ... [2(f) A rectangular ield has a length of metres.

The width of the ield is (2 5) metres.(i) Show that the perimeter of the ield is (6 10) metres.

Answer (f) (i)

[2

(ii) The perimeter of the ield is 50 metres.Find the length of the ield.

Answer (f) (i)length = . m [2

7/28/2019 aFU TEST 2013 CORE.pdf

4/5

3. A football book costs $ and a music book costs $.(a) (i) Find an expression, in terms of and , for the total cost of 5 football books and

7 music book.

Answer (a) (i)

$. [1

(ii) The total cost of 5 football books and 7 music books is $107.Write down an equation, in terms of and , to show this information.

Answer (a) (ii) .. [1(b) The total cost of 3 football books and 14 music books is $172.

Write down an equation, in terms of and , to show this information.

Answer (b) . [2(c) Solve the simultaneous equations from part(a) (i) and part(b) to ind the cost of

(i) one football book,(ii) one music book.

Answer (c) (i)$ . (ii)$ . [4

7/28/2019 aFU TEST 2013 CORE.pdf

5/5

4. Prince AD sells packets of sweets.There are three sizes of packets.

There are sweets in the small packet.There are twice as many sweets in the medium packet as there are in the small packet.

(a) Write down an expression, in terms of, for the number of sweets in medium packet.

Answer (a) . [1There are 15 more sweets in the large packet than in the medium packet.

(b) Write down an expression, in terms of, for the number of sweets in large packet.

Answer (b) . [1(c) A small packet of sweets costs 20 pence.

Mod.x buys small packets of sweets.

Write down an expression, in terms of, for the cost in pence of the sweets

Answer (c) pence [1

Small Medium Large