WordPress.com



NAME: __________________________________________DATE: ________IB Math Studies Year 1 – Cumulative Review: Units 1-4 #1PERIOD:______Cumulative Review of Units 1-4 #1DIRECTIONS: Answer all questions. Please show all work where possible. Unless otherwise stated in the question, all numerical answers should be given exactly or correct to 3 significant figures. 1. A rectangle is 2680 cm long and 1970 cm wide.Find the perimeter of the rectangle, giving your answer in the form a × 10k where k is an integer and 1 ≤ a ≤ 10.Find the exact area of the rectangle in square centimeters. Give your answer from part (b) correct to the nearest thousand square centimeters.Calculate the percentage error between the exact and approximate areas of the rectangle.2. The diagram below shows the line PQ, whose equation is x+2y=12. The line intercepts the axes at P and Q respectively.Find the coordinates of P and of Q.M is the midpoint of PQ.Find the coordinates of M.Find the equation of the straight line perpendicular to PQ, passing through point M. Write your answer in the form ax+by+d=0 where a, b, and d are all integers.3. A manufacturer claims that fertilizer has an effect on the height of rice plants. He measures the ehight of fertilized and unfertilized plants. The results are given in the following table.A chi-squared test is performed to decide if the manufacturer’s claim is justified at the 1% level of significance with a critical value of 9.21Write down the null and alternate hypothesis for this test.For the number of fertilized plants with height greater than 75 cm, show that the expected value is 97.5.1933575316230Write down the value of Write down the number of degrees of freedom.Is the manufacturer’s claim justified? Give a reason for your answer.4. 200 people were asked the amount of time T (minutes) they had spent in the supermarket. The results are represented in the table below. State if the data is discrete or continuous.State the modal group.Write down the midpoint of the interval 10<T≤20.Use your graphic display calculator to find an estimate for(i) the mean;(ii) the standard deviation.The results are represented in the cumulative frequency table below.Time (T)T≤10T≤20T≤30T≤40T≤50Cumulative Frequency23q173r200Write down the value of(i) q;(ii) r.1047749161925005. The cumulative frequency graph shows the amount of time in minutes, 200 students spend waiting for their train on a particular morning.Write down the median waiting time.Find the interquartile range for the waiting time.What percentage of students spend less than 16 minutes waiting for the train?How many students spend 36 minutes or more waiting for the train?104775-190506. **for part (a), remember that every 5 lines represents 1 cm on the axes.** (h) State whether it is reliable to use the regression line to estimate the number of plant species growing 30 metres from the lake shore. Give a reason for your answer. ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download