IGCSE year 8

1)Multiply to find the product of:(-2x - 5) (-3x + 4)

8x2 - 23x - 206x2 + 7x - 202x2 - 23x + 20-6x2 + 7x + 20

2)Put the following set of numbers in order from greatest to least:

{1/2, 23, 3/4, 7, 112, 100/1000, 3-2}

3)What is the slope of the hypotenuse of the triangle shown above? a)5/6b)6/5c)- 6/5d)-5/6

While gathered around their campfire, the campers at Camp Stillwater experienced a mosquito invasion.

The next morning, the campers had a competition to see who could count the most mosquito bites on their arms and legs. The stem-and-leaf diagram shows the results.

4)What was the median number of mosquito bites received by campers?

a)32b)33c)35d)47

5)Alexandra wants to set up a booth at a local craft fair to sell her handmade necklaces. The fair offers four pricing schemes for booth rental. If Alexandra expects to sell 20 necklaces at $12.50 each, which is the most advantageous booth pricing scheme for her?

a)$10 flat fee plus 5% of salesb)$25 flat fee + 2.5% of salesc)$50 flat fee + 1% of salesd)$75 flat fee

6)Betty has collected 12 stamps from around the world. She is going to put them on 3 pages in an album with an equal number on each page. Which number sentence shows how many stamps Betty will put on each page?

12 * 3 = 3612 + 3 = 1512 - 3 = 912 3 = 4

A circle of radius x is inscribed in the square. Give a formula for the difference between the area of the square and the area of the circle.

a) x2 (1-)b) 4(x2 -)c) 2x (2-)d) x2 (4-)

7)Two girls, Alice and Cassandra, and three boys, Baxter, Darnell, and Felix, all go together to ride on a giant zip line. They decide to write their names on pieces of paper and pull them randomly out of Felix's hat to determine the order of their turns.

(a) How many different turn orders are possible? (Show your work.)

(b) What is the probability that the girls will have the first two turns? (Show your work.)

(c) How many different turn orders are possible, if the two girls have consecutive turns?

Mike, Tim and Bob share 30 sweets. Mike receives the least amount of 5 sweets. The remaining sweets are split between Tim and Bob based on a 2:3 ratio. Calculate the number of sweets Bob has.

sweets_oa) 15 sweetsb) 20 sweetsc) 18 sweetsd) 25 sweetse) None of the aboveA scrap yard has a notice which reads: 30 minutes to scrap 2kg of metal plus another 15 minutes tidying up time. The total time taken to scrap some metal was 75 minutes. What was the weight,w of the metal being scrapped?

Scrapmetal2

a) 2kgb) 3kgc) 4kgd) 8kge) 15kg