在每年公布的A-level成绩后,汤布里奇公学的学术成绩可以用“闪闪发光”来形容,仅在2021年时间内,汤布里奇公学就有22位学生获得了牛剑的offer,如此成绩斐然的学术成绩自然吸引了一大批的学子前往该校求学,可是,笔试是必经的一项考核标准,下面,小编就为大家带来了汤布里奇公学Tonbridge school 14+数学B卷入学考试笔试题型大赏析,希望对大家有所帮助:
14+数学入学考试:B卷
时间:1小时
总分:80分
说明:
1. 填写封面顶部的“姓名”和“学校”部分
2. 所有问题都应在空格内作答
3.不需要额外的纸张,包括图纸。
1. Expand and fully simplify the following:
a) 4(5 − 3𝑥)
Answer: ……………………………..
b) (2𝑥 − 1) (𝑥 + 5)
Answer: ……………………………..
c) (𝑥 + 𝑦) (2𝑥 − 3𝑦)
Answer: …………………………….
2. Solve the following equations:
a) 4(𝑥 − 3) = 20
Answer: ……………………………..
b) 2𝑥 − 4(𝑥 – 3) = 1
Answer: ……………………………..
Answer: ……………………………..
Answer: ……………………………..
Answer: ……………………………..
Answer: ……………………………..
Answer: ……………………………..
h) 2𝑥2 = 512
Answer: ……………………………..
3. Triangle 𝐴𝐵𝐶 has an angle equal to 90° at 𝐶, length of side 𝐴𝐶 equal to 5cm and length of side 𝐴𝐵 equal to 9cm.
a) Draw a diagram, with appropriate labels and showing all the above information. The diagram does not need to be drawn with accurate lengths.
b) Calculate the length of side 𝐵𝐶, giving your answer to 3 significant figures
Answer: ……………………………..
c) Calculate the size of angle 𝐴𝐵𝐶, giving your answer to 3 significant figures
Answer: ……………………………..
4. A line, L, passes through the points (4,0) and (−1, −2).
a) By first drawing a set of axes, illustrate the line, L, on a graph.
b) Calculate the gradient of L.
Answer: ……………………………..
c) Determine the equation of L.
Answer: ……………………………..
5. a) Solve the simultaneous equations
𝑢 = …………… 𝑣 = ……………
6. The following graph is to be drawn
𝑦 = 2𝑥2 − 3𝑥
a) Complete the table
b) By first drawing a set of axes, then plotting appropriate points based on the information in the above table, draw the graph for the values −2 ≤ 𝑥 ≤ 3
c) Using your graph, estimate the solutions of the equation
2𝑥2 − 3𝑥 = 1
Answers: …………… and ………………..
7. Fully simply the following:
a) 2𝑚 + 3𝑚
Answer: ……………………….
b) 3𝑦3x 3𝑦3
Answer: ……………………….
Answer: ……………………….
d) (4𝑎2𝑏6)2
Answer: ……………………….
8. A car journey of 380 km takes 4 hours. Part of this journey is on a motorway at an average speed of 110 km per hour; the remainder of the journey is on country roads at an average speed of 70 km per hour.
a) Write this information as a pair of simultaneous equations
Answer: ……………………………..
b) Solve these simultaneous equations to find how many kilometres of the journey is spent on the motorway.
Answer: …………………………km
9. a) A formula is given as 𝑣 = 𝑢 + 𝑎𝑡
Calculate the value of 𝑡 when 𝑣 = 12, 𝑢 = −3, 𝑎 = 5
Answer: ……………………………..
Calculate the values of 𝑎 when ℎ = 13, 𝑏 = 5
Answer: ……………………………..
Calculate the value of 𝑢 when 𝑓 = 5, 𝑣 = 6
Answer: ……………………………..
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