通過(guò)從正式考題中抽選的20道題測(cè)試一下你目前的知識(shí)掌握情況

如果你已經(jīng)有一段時(shí)間沒(méi)有做數(shù)學(xué)題了，或者說(shuō)身邊也沒(méi)有人在學(xué)習(xí)數(shù)學(xué)，你可以能會(huì)很好奇最近這段時(shí)間你的GCSE數(shù)學(xué)有什么變化嗎？那么現(xiàn)在就有一個(gè)機(jī)會(huì)可以測(cè)試你的數(shù)學(xué)水平，就是通過(guò)去年考題中節(jié)選的十幾道題目。

當(dāng)然了這個(gè)也不是一個(gè)完整的考試。在正式的考試中，學(xué)生參加GCSE數(shù)學(xué)考試一共是需要4.5小時(shí)。期中有90分鐘的考試內(nèi)容是不允許攜帶計(jì)算器的。

同時(shí)，與在線測(cè)試不同的是，這些考題都不可能全部是選擇題的，學(xué)生需要努力的答題以獲取更高的分?jǐn)?shù)。那么在參加完這個(gè)測(cè)驗(yàn)之后，你會(huì)對(duì)英格蘭和威爾士的學(xué)生將要回答的一些數(shù)學(xué)問(wèn)題有一個(gè)大致的了解。

祝你好運(yùn)，并在評(píng)論中告訴我們你的測(cè)試結(jié)果如何。

         

 OK. Here we go. No calculators allowed to start with. Which of these shapes has the most sides?

         Hexagon

         Octagon

         Rhombus

        Trapezium

Nadia has ￡5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy?

17 pencils, 12 rulers

18 pencils, 12 rulers

17 pencils, 10 rulers

12 pencils, 14 rulers

Work out 25.68 divided by 12

2.04

2.08

2.12

2.14

Three questions now from the higher level non-calculator paper. A fair spinner has five equal sections numbered 1, 2, 3, 4 and 5. A fair six-sided dice has five red faces and one green face. The spinner is spun. If the spinner shows an even number, the dice is thrown. Work out the probability of getting an even number and the colour green.

0.4

0.215

0.185

0.066

Give the reason why these two triangles are congruent.

SSS

SAS

ASA

RHS

Billy wants to buy these tickets for a show. 4 adult tickets at ￡15 each and 2 child tickets at ￡10 each. A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total charge for these tickets when paying by credit card.

￡88.64

￡90.64

￡94.64

￡98.64

Right, now you can make like Kraftwerk and get out your little pocket calculator for the rest of these questions, as they come from papers where pupils are allowed them. Choose the multiple of both 8 and 12

4

32

72

108

Lily goes on a car journey. For the first 30 minutes her average speed is 40 miles per hour. She then stops for 15 minutes. She then completes the journey at an average speed of 60 miles per hour. The total journey time is 1 hour. What is her overall average speed?

25 mph

30 mph

35 mph

40 mph

Eva thinks she can save water by showering instead of bathing. Her shower uses 10.8 litres per minute and lasts 8 minutes. Eva assumes the water in her bath is in the shape of a cuboid 110cm x 50cm x 35cm. How many litres of water does she save?

88.2

98.2

102.6

106.1

A shop sells two brands of battery. Brand A powers a toy for 5 hours, and is sold in packs of 8 for ￡3.60. Brand B battery powers the same toy for 5-and-a-half hours, and sells in packs of 6 for ￡2.94. Which brand is better value?

Brand A

Brand B

Here's a number machine. What is the output when the input is 4?

6

8

10

12

Here's that number machine again. What is the output if the input changes to -4?

-14

-12

-10

-4

A is (2, 12) and B is (8, 2). What is the midpoint AB?

(3, 5)

(5, 7)

(4, 6)

(6, 10)

Here is a sequence: 90 82 74 66 58. What is the expression for the nth term of the sequence?

n - 8

98 - 8n

8n + 82

8n - 98

The next five questions are from paper 3 of the higher level, a sample from the most difficult paper. In a class of 28 students the mean height of the 12 boys is 1.58 metres, and the mean height of all 28 students is 1.52 metres. Work out the mean height of the girls.

      1.475

      1.375

      1.325

      1.315

      Solve this...

The value of a new car is ￡18,000. The value of the car decreases by 25% in the first year and 12% in each of the next 4 years. Work out the value of the car after 5 years.

      ￡7,096

      ￡8,096

      ￡9,096

     ￡10,096