通過從正式考題中抽選的20道題測試一下你目前的知識掌握情況
如果你已經(jīng)有一段時間沒有做數(shù)學題了，或者說身邊也沒有人在學習數(shù)學，你可以能會很好奇最近這段時間你的GCSE數(shù)學有什么變化嗎？那么現(xiàn)在就有一個機會可以測試你的數(shù)學水平，就是通過去年考題中節(jié)選的十幾道題目。
當然了這個也不是一個完整的考試。在正式的考試中，學生參加GCSE數(shù)學考試一共是需要4.5小時。期中有90分鐘的考試內(nèi)容是不允許攜帶計算器的。
同時，與在線測試不同的是，這些考題都不可能全部是選擇題的，學生需要努力的答題以獲取更高的分數(shù)。那么在參加完這個測驗之后，你會對英格蘭和威爾士的學生將要回答的一些數(shù)學問題有一個大致的了解。
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
